Name Daily Spiral Review Choose the best answer. 1. Which is the word form of 604? Sixty-four B Four hundred six C Six hundred four D Six hundred forty A $0.75 C $0.85 B $0.80 D $0.90 3. What is the value of the 7 in 275,342? A 7 C 7,000 B 700 D 70,000 4. Which of the following is the number of faces that a cube has? 6. Write 300,000 ! 50,000 ! 2,000 ! 100 ! 80 ! 4 in standard form. 2-1 2. Danny has 2 quarters, 2 dimes, and 3 nickels. What is the total value of Danny’s coins? 5. Write fifty-eight thousand, one hundred sixty in standard form. Daily Spiral Review A 2-1 7. Last week, 25 third-grade students and 16 fourth-grade students went on a field trip. How many more third-grade students than fourth-grade students went on the field trip? 8. Order the numbers from least to greatest. 3,952; 3,529; 3,925; 3,592 9. What number is missing in the pattern below? 7, 14, 21, 28, ______, 42 C 5 B 6 D 4 © Pearson Education, Inc. 3 A 7 Topic 2 28421_031_048.indd 31 31 1/16/08 4:48:13 PM Name Daily Spiral Review 2-1 Choose the best answer. 1. Which is the word form of 604? Sixty-four B Four hundred six C Six hundred four D Six hundred forty A $0.75 C $0.85 B $0.80 D $0.90 3. What is the value of the 7 in 275,342? A 7 C 7,000 B 700 D 70,000 4. Which of the following is the number of faces that a cube has? 6. Write 300,000 ! 50,000 ! 2,000 ! 100 ! 80 ! 4 in standard form. 352,184 2-1 2. Danny has 2 quarters, 2 dimes, and 3 nickels. What is the total value of Danny’s coins? 58,160 Daily Spiral Review A 5. Write fifty-eight thousand, one hundred sixty in standard form. 7. Last week, 25 third-grade students and 16 fourth-grade students went on a field trip. How many more third-grade students than fourth-grade students went on the field trip? 9 8. Order the numbers from least to greatest. 3,952; 3,529; 3,925; 3,592 3,529; 3,592; 3,925; 3,952 9. What number is missing in the pattern below? 35 7, 14, 21, 28, ______, 42 C 5 B 6 D 4 © Pearson Education, Inc. 3 A 7 Topic 2 28421_031_048.indd 31 31 3/14/08 1:01:45 PM 32 28421_031_048.indd 32 Problem of the Day 2-1 Topic 2 Problem of the Day 2-1 2-1 1/16/08 4:48:15 PM © Pearson Education, Inc. 3 Problem of the Day Using only the digits 0, 5, 8, and 9, write all possible 4-digit numbers that are greater than 9,000. Each digit can only be used once in each number. (Hint: Make an organized list.) Name Quick Check 2-1 1. Which number goes into the ☐ to make the number sentence true? 5 ! (3 ! ☐) " (2 ! 3) ! 5 A 2 B 5 Quick Check 2-1 C 8 D 10 2. Which number sentence is modeled on the number line? 6 0 1 2 3 7 4 5 6 7 8 9 10 11 12 13 14 A 6!1"7 B 0!6"6 C 6 ! 6 " 12 D 6 ! 7 " 13 3. Which number sentence matches the picture? A 4!4"8 B 4 ! 8 " 12 C 8#4"4 D 12 ! 4 " 16 © Pearson Education, Inc. 3 4. Writing to Explain What does it mean to add 5 and 0? Draw a picture and explain how to find the sum. Topic 2 28421_031_048.indd 33 33 1/16/08 4:48:16 PM Name Quick Check 2-1 1. Which number goes into the ☐ to make the number sentence true? 5 ! (3 ! ☐) " (2 ! 3) ! 5 A 2 B 5 Quick Check 2-1 C 8 D 10 2. Which number sentence is modeled on the number line? 6 0 1 2 3 7 4 5 6 7 8 9 10 11 12 13 14 A 6!1"7 B 0!6"6 C 6 ! 6 " 12 D 6 ! 7 " 13 3. Which number sentence matches the picture? A 4!4"8 B 4 ! 8 " 12 C 8#4"4 D 12 ! 4 " 16 4. Writing to Explain What does it mean to add 5 and 0? Draw a picture and explain how to find the sum. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_031_048.indd 33 33 3/14/08 1:01:48 PM Name Reteaching 2-1 Addition Meaning and Properties The Commutative (Order) Property Reteaching 2-1 You can add numbers in any order, and the sum will be the same. 6!2"8 2!6"8 The Associative (Grouping) Property You can group addends in any way, and the sum will be the same. ! ! (3 ! 4) ! 1 " 8 3 ! (4 ! 1) " 8 The Identity (Zero) Property The sum of any number and zero equals that same number. 0!4"4 Find each sum. 1. 3 ! (2 ! 4) " 2. (0 ! 5) ! 2 " 3. (8 ! 3) ! 4 " 4. 9 ! 2 ! 6 " Write each missing number. 7. (2 ! 3) ! 4 " 6. ! (2 ! 4) 8. 9 ! (2 ! 7) " (9 ! 2) ! 9. Reasoning Does (4 ! 5 ) ! 2 " 9 ! 2? Explain. 34 28421_031_048.indd 34 !7"7 © Pearson Education, Inc. 3 5. 3 ! 4 " 4 ! Topic 2 1/16/08 4:48:18 PM Name Reteaching 2-1 Addition Meaning and Properties The Commutative (Order) Property Reteaching 2-1 You can add numbers in any order, and the sum will be the same. 6!2"8 2!6"8 The Associative (Grouping) Property You can group addends in any way, and the sum will be the same. ! ! (3 ! 4) ! 1 " 8 3 ! (4 ! 1) " 8 The Identity (Zero) Property The sum of any number and zero equals that same number. 0!4"4 Find each sum. 3. (8 ! 3) ! 4 " 9 15 2. (0 ! 5) ! 2 " 4. 9 ! 2 ! 6 " Write each missing number. 5. 3 ! 4 " 4 ! 7. (2 ! 3) ! 4 " 3 3 6. ! (2 ! 4) 0 7 17 !7"7 8. 9 ! (2 ! 7) " (9 ! 2) ! 9. Reasoning Does (4 ! 5 ) ! 2 " 9 ! 2? Explain. 7 (4 ! 5) ! 2 has the same sum as 9 ! 2. Both equal 11. 34 28421_031_048.indd 34 © Pearson Education, Inc. 3 1. 3 ! (2 ! 4) " Topic 2 3/14/08 1:01:50 PM Name Practice 2-1 Addition Meaning and Properties Write each missing number. 2. 3 ! ■ " 3 3. (2 ! 4) ! 5 " 2 ! (■ ! 5) 4. 3 ! ■ " 5 ! 3 5. ■ ! 0 " 6 6. (5 ! 3) ! 9 " 8 ! ■ Practice 2-1 1. 7 ! 2 " 2 ! ■ 7. Reasoning What property of addition is shown in the following number sentence? Explain. 7 ! (3 + 5) " (7 + 3) ! 5 8. Number Sense Minnie has 6 country CDs and 5 rock CDs. Amanda has 5 rock CDs and 6 country CDs. Who has more CDs? Explain. 9. Show how the Commutative Property of Addition works using the numbers 2, 3, and 5. © Pearson Education, Inc. 3 10. Explain It Jake says that adding 0 does not change a sum. Is he correct? Explain. 11. Which property of addition is shown by 5 ! 2 " 2 ! 5? A Associative Property C Commutative Property B Distributive Property D Identity Property Topic 2 28421_031_048.indd 35 35 1/16/08 4:48:19 PM Name Practice 2-1 Addition Meaning and Properties Write each missing number. 1. 7 ! 2 " 2 ! ■ 2. 3 ! ■ " 3 3. (2 ! 4) ! 5 " 2 ! (■ ! 5) 4. 3 ! ■ " 5 ! 3 5. ■ ! 0 " 6 6. (5 ! 3) ! 9 " 8 ! ■ 7 6 4 Practice 2-1 5 0 9 7. Reasoning What property of addition is shown in the following number sentence? Explain. 7 ! (3 + 5) " (7 + 3) ! 5 The Associative Property of Addition; The way the addends are grouped does not change a sum. 8. Number Sense Minnie has 6 country CDs and 5 rock CDs. Amanda has 5 rock CDs and 6 country CDs. Who has more CDs? Explain. Minnie and Amanda have the same number of CDs because 6 ! 5 " 5 ! 6. 9. Show how the Commutative Property of Addition works using the numbers 2, 3, and 5. 2 ! 3 " 5 and 3 ! 2 " 5 © Pearson Education, Inc. 3 10. Explain It Jake says that adding 0 does not change a sum. Is he correct? Explain. Yes. The sum of an addend and 0 is the addend. 11. Which property of addition is shown by 5 ! 2 " 2 ! 5? A Associative Property C Commutative Property B Distributive Property D Identity Property Topic 2 28421_031_048.indd 35 35 3/14/08 1:01:51 PM Name Enrichment 2-1 Add It Up Tell whether you use the Commutative (Order) Property, the Associative (Grouping) Property, or the Identity (Zero) Property. Explain your answer. Then solve. Enrichment 2-1 1. ? ! 14 " 14. You use the . The solution is 2. (10 + 9) ! 8 " because The solution is ? Reasoning Property because . ! (9 ! 8). You use the Property . 3. How can you write 9 ! 13 using 9 and two other addends? Find the sum and explain your answer. © Pearson Education, Inc. 3 4. Use two different addends to write a problem that has the same sum as 9 ! 13. Explain your answer. 36 28421_031_048.indd 36 Topic 2 1/16/08 4:48:20 PM Name Enrichment Add It Up Tell whether you use the Commutative (Order) Property, the Associative (Grouping) Property, or the Identity (Zero) Property. Explain your answer. Then solve. Enrichment 2-1 1. 2. 2-1 Reasoning Identity Property because any number added to zero is that number . The solution is 0 . (10 + 9) ! 8 " ? ! (9 ! 8). You use the Associative Property ? ! 14 " 14. You use the because the order does not matter; The addends add to the same amount. The solution is 10 . 3. How can you write 9 ! 13 using 9 and two other addends? Find the sum and explain your answer. Students’ answers should include 9 and two other addends that have a sum of 13. 4. Use two different addends to write a problem that has the same sum as 9 ! 13. Explain your answer. © Pearson Education, Inc. 3 Sample answer: 7 ! 15 " 22; Students’ answers should include any two addends that have a sum of 22. 36 28421_031_048.indd 36 Topic 2 3/14/08 1:01:53 PM Name Daily Spiral Review 2-2 Choose the best answer. 1. Which is the standard form of two hundred thousand, six hundred ninety-nine? A 269,600 B 209,699 C 206,690 D 200,699 B 55 C 70 D 73 3. Which unit would you use to measure the length of your classroom? A Pound In 5–7, compare the heights of the two trees. Use !, ", or #. 5. Giant sequoia 6. Sugar pine Coast redwood 2-2 A 53 National Champion Trees Tree Height (in ft) Giant sequoia 275 Sugar pine 232 Coast Douglas fir 281 Port Orford cedar 219 Coast redwood 321 Daily Spiral Review 2. Darren has 50 baseball cards and 23 football cards. What is the total number of cards Darren has? Use the table for 5 through 8. Port Orford cedar 7. Coast Douglas fir Coast redwood 8. What is the height of a tree that has a greater height than a giant sequoia but less than a coast Douglas fir? B Foot feet C Gallon D Degree 4. Which number has the greatest value? A 5,445 © Pearson Education, Inc. 3 B 4,455 C 5,544 D 4,554 Topic 2 28421_031_048.indd 37 37 1/16/08 4:48:22 PM Name Daily Spiral Review 2-2 Choose the best answer. 1. Which is the standard form of two hundred thousand, six hundred ninety-nine? A 269,600 B 209,699 C 206,690 D 200,699 B 55 C 70 D 73 3. Which unit would you use to measure the length of your classroom? A Pound B Foot C Gallon In 5–7, compare the heights of the two trees. Use !, ", or #. 5. Giant sequoia 6. Sugar pine > < Coast redwood 2-2 A 53 National Champion Trees Tree Height (in ft) Giant sequoia 275 Sugar pine 232 Coast Douglas fir 281 Port Orford cedar 219 Coast redwood 321 Daily Spiral Review 2. Darren has 50 baseball cards and 23 football cards. What is the total number of cards Darren has? Use the table for 5 through 8. Port Orford cedar 7. Coast Douglas fir < Coast redwood 8. What is the height of a tree that has a greater height than a giant sequoia but less than a coast Douglas fir? Accept 276–280 feet D Degree 4. Which number has the greatest value? A 5,445 © Pearson Education, Inc. 3 B 4,455 C 5,544 D 4,554 Topic 2 28421_031_048.indd 37 37 3/14/08 1:01:54 PM 38 28421_031_048.indd 38 Problem of the Day 2-2 Topic 2 Problem of the Day 2-2 2-2 1/16/08 4:48:23 PM © Pearson Education, Inc. 3 Problem of the Day Find each missing number. +6=6+3 0+ =8 (7 + 2) + = 13 ( + 2) + 3 = 6 + (2 + 3) 7 + (2 + 4) = 7 + Name Quick Check 2-2 Use the hundred chart to solve 1 and 2. 1. Omar had 48 postcards. His brother gave him 13 more postcards. How many postcards does Omar have in all? A 62 B 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 D 59 61 62 63 64 65 66 67 68 69 70 2. Mina is 16 years old. How old will she be 25 years from now? A 9 Quick Check 2-2 C 60 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 B 36 C 41 D 46 © Pearson Education, Inc. 3 3. Writing to Explain Describe the steps you would use to add 57 ! 29 on a hundred chart. Tell how to use the rows to find the sum. Topic 2 28421_031_048.indd 39 39 1/16/08 4:48:24 PM Name Quick Check 2-2 Use the hundred chart to solve 1 and 2. 1. Omar had 48 postcards. His brother gave him 13 more postcards. How many postcards does Omar have in all? A 62 B 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 D 59 61 62 63 64 65 66 67 68 69 70 2. Mina is 16 years old. How old will she be 25 years from now? A 9 Quick Check 2-2 C 60 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 B 36 C 41 D 46 3. Writing to Explain Describe the steps you would use to add 57 ! 29 on a hundred chart. Tell how to use the rows to find the sum. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_031_048.indd 39 39 3/14/08 1:01:56 PM Name Reteaching 2-2 Adding on a Hundred Chart Reteaching 2-2 You can use a hundred chart to add. To add 37 ! 26, follow these steps: • Start at 37. • Go down 2 rows to add 20. • Go right 3 spaces to add 3 more. So far you have added 20 ! 3, or 23. • To add 3 more, go down to the next row and go right 3 spaces. • You end at 63. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 So, 37 ! 26 " 63. 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 You could also do it this way: • Start at 37. • Go down 3 rows to add 30. • Go left 4 spaces to subtract 4. • You end at 63. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 So, 37 ! 26 " 63 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1. 30 ! 45 2. 52 ! 40 3. 26 ! 43 4. 37 ! 23 5. 28 ! 45 6. 47 ! 18 7. 39 ! 35 8. 26 ! 54 9. Reasoning To find 38 ! 45, you could first find 38 ! 50 " 88. Then what should you do? 40 28421_031_048.indd 40 © Pearson Education, Inc. 3 Use a hundred chart to add. Topic 2 1/16/08 4:48:26 PM Name Reteaching 2-2 Adding on a Hundred Chart Reteaching 2-2 You can use a hundred chart to add. To add 37 ! 26, follow these steps: • Start at 37. • Go down 2 rows to add 20. • Go right 3 spaces to add 3 more. So far you have added 20 ! 3, or 23. • To add 3 more, go down to the next row and go right 3 spaces. • You end at 63. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 So, 37 ! 26 " 63. 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 You could also do it this way: • Start at 37. • Go down 3 rows to add 30. • Go left 4 spaces to subtract 4. • You end at 63. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 So, 37 ! 26 " 63 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Use a hundred chart to add. 2. 52 ! 40 75 5. 28 ! 45 92 6. 47 ! 18 73 65 3. 26 ! 43 4. 37 ! 23 69 7. 39 ! 35 74 60 8. 26 ! 54 9. Reasoning To find 38 ! 45, you could first find 38 ! 50 " 88. Then what should you do? 40 28421_031_048.indd 40 Subtract 5 80 © Pearson Education, Inc. 3 1. 30 ! 45 Topic 2 3/14/08 1:01:58 PM Name Practice 2-2 Adding on a Hundred Chart Use a hundred chart to add. 1. 45 ! 30 1 2 3 4 5 6 8 7 9 10 11 12 13 14 15 16 17 18 19 20 2. 36 ! 33 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 3. 52 ! 46 41 42 43 44 45 46 47 48 49 50 4. 27 ! 23 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 6. 49 ! 24 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Practice 2-2 5. 36 ! 45 Number Sense Compare. Use ", #, or $. 7. 32 ! 40 42 ! 38 8. 27 ! 52 52 ! 27 9. 46 ! 34 33 ! 45 10. 22 ! 54 28 ! 48 11. 37 ! 44 32 ! 50 12. 51 ! 25 41 ! 25 13. Number Sense Mickey lives 35 miles away from his grandparents’ home. His Aunt Roz lives 24 miles farther than his grandparents. How far does Mickey live from his Aunt Roz? 14. Kirsten spent 45 minutes doing her math homework and 35 minutes studying for science class. How much time did Kirsten spend studying all together? 15. Which addition problem has a sum of 65? B 46 ! 29 C 34 ! 32 D 27 ! 39 © Pearson Education, Inc. 3 A 37 ! 28 Topic 2 28421_031_048.indd 41 41 1/16/08 4:48:27 PM Name Practice 2-2 Adding on a Hundred Chart Use a hundred chart to add. 1. 45 ! 30 1 69 3. 52 ! 46 61 62 63 64 65 66 67 68 69 70 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 9. 46 ! 34 11. 37 ! 44 42 ! 38 8. 27 ! 52 33 ! 45 10. 22 ! 54 32 ! 50 12. 51 ! 25 = = > Practice 2-2 71 72 73 74 75 76 77 78 79 80 73 < > < 9 10 51 52 53 54 55 56 57 58 59 60 Number Sense Compare. Use ", #, or $. 7. 32 ! 40 8 7 41 42 43 44 45 46 47 48 49 50 6. 49 ! 24 81 6 31 32 33 34 35 36 37 38 39 40 50 5. 36 ! 45 5 21 22 23 24 25 26 27 28 29 30 4. 27 ! 23 98 4 11 12 13 14 15 16 17 18 19 20 2. 36 ! 33 75 3 2 52 ! 27 28 ! 48 41 ! 25 13. Number Sense Mickey lives 35 miles away from his grandparents’ home. His Aunt Roz lives 24 miles farther than his grandparents. How far does Mickey live from his Aunt Roz? 59 miles 14. Kirsten spent 45 minutes doing her math homework and 35 minutes studying for science class. How much time did Kirsten spend studying all together? 80 minutes 15. Which addition problem has a sum of 65? B 46 ! 29 C 34 ! 32 D 27 ! 39 © Pearson Education, Inc. 3 A 37 ! 28 Topic 2 28421_031_048.indd 41 41 3/14/08 1:01:59 PM Name Enrichment 2-2 Egyptian Addition More than 5,000 years ago ancient Egyptians used a number system that was based on the number ten! Some of the symbols they used are shown at the right. " ! 10 ! 100 ! Write each number using our number system. Then find each sum and draw the sum using Egyptian symbols. 1. 2. 3. 4. 42 28421_031_048.indd 42 " ! " ! " ! " ! " ! " ! " ! " ! © Pearson Education, Inc. 3 Enrichment 2-2 Here is how the Egyptians would have written 15 " 26 ! 41. Mental Math !1 Topic 2 1/16/08 4:48:29 PM Name Enrichment 2-2 Egyptian Addition More than 5,000 years ago ancient Egyptians used a number system that was based on the number ten! Some of the symbols they used are shown at the right. ! 10 ! 100 Here is how the Egyptians would have written 15 " 26 ! 41. " ! Write each number using our number system. Then find each sum and draw the sum using Egyptian symbols. 1. " 23 2. 3. " 4. " 57 " 65 ! 92 ! 26 " 58 ! ! " 48 28421_031_048.indd 42 42 " 35 42 " ! ! 74 ! 44 ! 102 © Pearson Education, Inc. 3 Enrichment 2-2 Mental Math !1 Topic 2 3/14/08 1:02:00 PM Name Daily Spiral Review 2-3 Choose the best answer. 1. Which number below in standard form do these blocks show? A 1,236 C 2,136 B 1,326 D 2,236 B 6!0"6 C 5!9"9!5 D (3 ! 2) ! 8 " 3 ! (2 ! 8) 3. What is the missing number? 5 ! (7 ! 3) " 5 ! (3 ! ■) A 15 C 5 B 7 D 3 1,250 1,500 1,750 6. Order the numbers from greatest to least. 4,392; 3,999; 4,401 2-3 A 7 ! 6 " 13 1,000 Daily Spiral Review 2. Which is an example of the Commutative (Order) Property of Addition? 5. Fill in 1,655; 1,100; and 1,350 where they should be on the number line. 7. There are 15 girls and 11 boys in Mr. Gittens’s class. How many students does Mr. Gittens have all together? 8. Which property of addition is shown below? 0!7"7 4. Miguel is going to eat an orange. Which of the following is the best estimate of how long it will take Miguel to eat the orange? A 2 days B 2 hours © Pearson Education, Inc. 3 C 2 minutes D 2 seconds Topic 2 28421_031_048.indd 43 43 1/16/08 4:48:30 PM Name Daily Spiral Review 2-3 Choose the best answer. 1. Which number below in standard form do these blocks show? 5. Fill in 1,655; 1,100; and 1,350 where they should be on the number line. 1,350 1,100 1,655 A 1,236 C 2,136 B 1,326 D 2,236 B 6!0"6 C 5!9"9!5 D (3 ! 2) ! 8 " 3 ! (2 ! 8) 3. What is the missing number? 5 ! (7 ! 3) " 5 ! (3 ! ■) A 15 C 5 B 7 D 3 4. Miguel is going to eat an orange. Which of the following is the best estimate of how long it will take Miguel to eat the orange? 1,500 1,750 6. Order the numbers from greatest to least. 4,392; 3,999; 4,401 4,401; 4,392; 3,999 2-3 A 7 ! 6 " 13 1,250 Daily Spiral Review 2. Which is an example of the Commutative (Order) Property of Addition? 1,000 7. There are 15 girls and 11 boys in Mr. Gittens’s class. How many students does Mr. Gittens have all together? 26 8. Which property of addition is shown below? 0!7"7 Identity Property of Addition or Zero Property of Addition A 2 days B 2 hours © Pearson Education, Inc. 3 C 2 minutes D 2 seconds Topic 2 28421_031_048.indd 43 43 3/14/08 1:02:02 PM 44 28421_031_048.indd 44 Problem of the Day 2-3 Topic 2 Problem of the Day 2-3 2-3 1/16/08 4:48:32 PM © Pearson Education, Inc. 3 Problem of the Day Tell what information is not needed. Then solve using a hundred chart. Matt caught 12 fireflies, Jason caught 14 fireflies, and Kenan caught 8 grasshoppers. How many fireflies did the boys catch? Name Quick Check 2-3 1. Use breaking apart to add 36 ! 24. Which expression does NOT show a correct way to do this? A 3!6!2!4 B 30 ! 6 ! 20 ! 4 C 36 ! 20 ! 4 D 30 ! 20 ! 6 ! 4 2. Use mental math to find the sum. 57 ! 18 " ■ Quick Check 2-3 A 65 B 69 C 75 D 86 3. Lorna is playing a game. She gets 13 points on her first turn. She gets 17 points on her second turn. Use mental math to find her score so far. A 31 B 30 C 29 D 20 © Pearson Education, Inc. 3 4. Writing to Explain You have learned about the Associative (Grouping) Property of Addition. It says that you can group addends in any way and the sum will be the same. How do you use the Grouping Property when you break apart addends? Give an example. Topic 2 28421_031_048.indd 45 45 1/16/08 4:48:33 PM Name Quick Check 2-3 1. Use breaking apart to add 36 ! 24. Which expression does NOT show a correct way to do this? A 3!6!2!4 B 30 ! 6 ! 20 ! 4 C 36 ! 20 ! 4 D 30 ! 20 ! 6 ! 4 2. Use mental math to find the sum. 57 ! 18 " ■ Quick Check 2-3 A 65 B 69 C 75 D 86 3. Lorna is playing a game. She gets 13 points on her first turn. She gets 17 points on her second turn. Use mental math to find her score so far. A 31 B 30 C 29 D 20 4. Writing to Explain You have learned about the Associative (Grouping) Property of Addition. It says that you can group addends in any way and the sum will be the same. How do you use the Grouping Property when you break apart addends? Give an example. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_031_048.indd 45 45 3/14/08 1:02:05 PM Name Reteaching 2-3 Using Mental Math to Add You can break apart numbers to make them easier to add mentally. Add 31 ! 45 by breaking apart numbers. Add 26 ! 17 by breaking apart numbers to make a ten. Break the numbers into tens and ones. Use a number that adds with the 6 in 26 to make a 10. Since 6 ! 4 " 10, use 4. Reteaching 2-3 tens ones 31 " 30 ! 1 45 " 40 ! 5 Think: 17 " 4 ! 13. Add 26 ! 4 " 30. Add 30 ! 13 " 43. Add the tens: 30 ! 40 " 70. So, 26 ! 17 " 43. Add the ones: 1 ! 5 " 6. Add the sums: 70 ! 6 " 76. So, 31 ! 45 " 76. Find each sum using mental math. 1. 24 ! 71 " 2. 36 ! 43 " 3. 54 ! 23 " 4. 25 ! 49 " 5. 37 ! 56 " 6. 77 ! 13 " 7. Number Sense To add 32 ! 56, Juanita first added 30 ! 50. What two steps does she still need to do to find the sum? What is Juanita’s sum? © Pearson Education, Inc. 3 8. Reasoning How can Steve add 48 ! 34 by making a ten? What is the sum? 46 28421_031_048.indd 46 Topic 2 1/16/08 4:48:35 PM Name Reteaching 2-3 Using Mental Math to Add You can break apart numbers to make them easier to add mentally. Add 31 ! 45 by breaking apart numbers. Add 26 ! 17 by breaking apart numbers to make a ten. Break the numbers into tens and ones. Use a number that adds with the 6 in 26 to make a 10. Since 6 ! 4 " 10, use 4. Reteaching 2-3 tens ones 31 " 30 ! 1 45 " 40 ! 5 Think: 17 " 4 ! 13. Add 26 ! 4 " 30. Add 30 ! 13 " 43. Add the tens: 30 ! 40 " 70. So, 26 ! 17 " 43. Add the ones: 1 ! 5 " 6. Add the sums: 70 ! 6 " 76. So, 31 ! 45 " 76. Find each sum using mental math. 1. 24 ! 71 " 4. 25 ! 49 " 95 74 2. 36 ! 43 " 5. 37 ! 56 " 79 93 3. 54 ! 23 " 6. 77 ! 13 " 77 90 7. Number Sense To add 32 ! 56, Juanita first added 30 ! 50. What two steps does she still need to do to find the sum? What is Juanita’s sum? She needs to add 2 ! 6 " 8 and then 80 ! 8 " 88. Steve can break apart 34 as 32 ! 2, so he can make a ten by adding 48 ! 2 " 50. Then he can add 50 ! 32 " 82. 46 28421_031_048.indd 46 © Pearson Education, Inc. 3 8. Reasoning How can Steve add 48 ! 34 by making a ten? What is the sum? Topic 2 3/14/08 1:02:06 PM Name Practice 2-3 Using Mental Math to Add Use breaking apart to add mentally. 1. 53 ! 34 2. 42 ! 29 3. 47 ! 41 29 " 20 ! 34 " 30 ! 53 ! " 83 83 ! " 87 42 ! So, 53 ! 34 " " 62 41 " !1 47 ! " 87 ! 9 " 71 ! 1 " 88 So, 42 ! 29 " So, 47 ! 41 " Practice 2-3 Make a ten to add mentally. 4. 27 ! 24 24 " 3 ! 27 ! 6. 38 ! 27 5. 54 ! 19 19 " " 30 60 ! ! 21 " 51 !6 27 " ! 25 ! 6 " 60 38 ! " 40 40 ! " 65 " 73 So, 54 ! 19 " So, 27 ! 24 " So, 38 ! 27 " Find each sum using mental math. 7. 52 ! 26 © Pearson Education, Inc. 3 11. 43 ! 38 8. 47 ! 8 9. 32 ! 17 10. 28 ! 31 12. 72 ! 7 13. 42 ! 33 14. 36 ! 14 15. Number Sense Ashton broke apart a number into 30 ! 7. What number did he start with? 16. What is the sum of 27 ! 42 using mental math? A 68 B 69 C 78 D 79 Topic 2 28421_031_048.indd 47 47 1/16/08 4:48:36 PM Name Practice 2-3 Using Mental Math to Add Use breaking apart to add mentally. 1. 53 ! 34 2. 42 ! 29 34 " 30 ! 4 3. 47 ! 41 29 " 20 ! 30 " 83 83 ! 4 " 87 So, 53 ! 34 " 87 53 ! 42 ! 9 20 " 62 62 ! 9 " 71 So, 42 ! 29 " 40 ! 1 47 ! 40 " 87 87 ! 1 " 88 So, 47 ! 41 " 88 41 " 71 Practice 2-3 Make a ten to add mentally. 4. 27 ! 24 24 " 3 ! 27 ! 3 6. 38 ! 27 5. 54 ! 19 21 19 " 13 ! 6 54 ! 6 " 60 60 ! 13 " 73 So, 54 ! 19 " 73 " 30 30 ! 21 " 51 So, 27 ! 24 " 51 2 ! 25 38 ! 2 " 40 40 ! 25 " 65 So, 38 ! 27 " 65 27 " Find each sum using mental math. 7. 52 ! 26 78 11. 43 ! 38 © Pearson Education, Inc. 3 81 8. 47 ! 8 9. 32 ! 17 10. 28 ! 31 12. 72 ! 7 13. 42 ! 33 14. 36 ! 14 55 79 49 75 59 50 15. Number Sense Ashton broke apart a number into 30 ! 7. What number did he start with? 37 16. What is the sum of 27 ! 42 using mental math? A 68 B 69 C 78 D 79 Topic 2 28421_031_048.indd 47 47 3/14/08 1:02:07 PM Name Enrichment 2-3 Break It Up and Add 1. Which choice helps the most to solve 43 ! 8? Number Sense A Think of 8 as 4 ! 4. B Think of 43 as 44 " 1. C Think of 8 as 10 " 2. Explain. Enrichment 2-3 43 ! 8 # 2. Which choice helps the most to solve 67 ! 29? A Think of 67 as 63 ! 4. B Think of 29 as 30 " 1. C Think of 29 as 25 ! 4. Explain. 67 ! 29 # 3. Which choice does NOT help you solve 63 ! 28 using mental math? A Think of 63 as 60 ! 3. B Think of 28 as 30 " 2. C Think of 28 as 25 ! 3. 63 ! 28 # 48 28421_031_048.indd 48 © Pearson Education, Inc. 3 Explain. Topic 2 1/16/08 4:48:37 PM Name Enrichment 2-3 Break It Up and Add 1. Which choice helps the most to solve 43 ! 8? Number Sense A Think of 8 as 4 ! 4. B Think of 43 as 44 " 1. C Think of 8 as 10 " 2. Explain. Add 43 ! 10 " 53, then subtract 2. Enrichment 2-3 43 ! 8 # 51 2. Which choice helps the most to solve 67 ! 29? A Think of 67 as 63 ! 4. B Think of 29 as 30 " 1. C Think of 29 as 25 ! 4. Explain. Add 67 ! 30 " 97, then subtract 1. 67 ! 29 # 96 3. Which choice does NOT help you solve 63 ! 28 using mental math? A Think of 63 as 60 ! 3. B Think of 28 as 30 " 2. C Think of 28 as 25 ! 3. You should find the sum using tens. 25 is not a tens number. 63 ! 28 # 91 48 28421_031_048.indd 48 © Pearson Education, Inc. 3 Explain. Topic 2 3/14/08 1:02:09 PM Name Choose the best answer. 1. A leopard can live as many as 23 years. A monkey can live 14 more years than a leopard. How many years can a monkey live? Daily Spiral Review 2-4 4. Write 3,549 in expanded form. A 37 B 36 C 27 5. Len has these bills and coins in his pocket. D 9 Daily Spiral Review 2. An encyclopedia has 24 volumes. Mrs. Anderson lent 7 volumes to Katie. How many volumes does Mrs. Anderson have left? B 17 C 21 2-4 A 7 What is the total value of the money in Len’s pocket? D 31 3. Ms. Robinson leaves work at the time shown on the clock below. 11 12 1 10 2 9 3 8 4 7 6 5 At what time does she leave work? A 3:05 B 3:25 © Pearson Education, Inc. 3 C 5:03 6. There are 16 counties in Maine. California has 42 more counties than Maine. How many counties does California have? 7. Marisa is counting wheels on bicycles and tricycles at the park. She counted 3 vehicles and 7 wheels. How many bicycles and how many tricycles did Marisa see? D 5:15 Topic 2 28421_039_063.indd 49 49 1/16/08 4:49:36 PM Name Daily Spiral Review 2-4 Choose the best answer. 1. A leopard can live as many as 23 years. A monkey can live 14 more years than a leopard. How many years can a monkey live? A 37 B 36 C 27 4. Write 3,549 in expanded form. 3,000 ! 500 ! 40 ! 9 5. Len has these bills and coins in his pocket. D 9 Daily Spiral Review 2. An encyclopedia has 24 volumes. Mrs. Anderson lent 7 volumes to Katie. How many volumes does Mrs. Anderson have left? B 17 C 21 D 31 3. Ms. Robinson leaves work at the time shown on the clock below. 11 12 1 10 2 9 3 8 4 7 6 5 At what time does she leave work? A 3:05 B 3:25 © Pearson Education, Inc. 3 C 5:03 D 5:15 2-4 A 7 What is the total value of the money in Len’s pocket? $7.81 6. There are 16 counties in Maine. California has 42 more counties than Maine. How many counties does California have? 58 7. Marisa is counting wheels on bicycles and tricycles at the park. She counted 3 vehicles and 7 wheels. How many bicycles and how many tricycles did Marisa see? 2 bicycles and 1 tricycle Topic 2 28421_039_063.indd 49 49 3/14/08 12:59:40 PM 50 28421_039_063.indd 50 Problem of the Day 2-4 Topic 2 Problem of the Day 2-4 Brooke bought a pencil and an eraser. How much did she spend? 2-4 1/16/08 4:49:37 PM © Pearson Education, Inc. 3 Problem of the Day School Supply Store Eraser 15¢ Pen 55¢ Pencil 35¢ Ruler 65¢ Name Addition Number Sense: Rounding 20 Interactive Learning Recording Sheet 3 30 1. rounds to 2. rounds to 400 500 rounds to 4. rounds to 230 Interactive Learning Recording Sheet 3 3. 240 5. rounds to 6. rounds to Work with a partner. Use the number lines above. Be ready to explain your work. 7. Round 28 to the nearest 10. 8. Round 466 to the nearest hundred. © Pearson Education, Inc. 3 9. Round 233 to the nearest ten. Topic 2 28421_039_063.indd 51 51 1/16/08 4:49:39 PM Name Kerry Addition Number Sense: Rounding 20 1. 2. 27 21 rounds to rounds to 30 20 500 410 448 rounds to rounds to 400 400 Interactive Learning Recording Sheet 3 4. 230 5. 6. 3 30 400 3. Interactive Learning Recording Sheet 240 234 236 rounds to rounds to 230 240 Work with a partner. Use the number lines above. Be ready to explain your work. 7. Round 28 to the nearest 10. 30 500 230 8. Round 466 to the nearest hundred. © Pearson Education, Inc. 3 9. Round 233 to the nearest ten. Topic 2 28421_039_063.indd 51 51 3/14/08 12:59:43 PM Name Quick Check 2-4 1. Zoller School has a total 542 students. Rounded to the nearest ten, about how many students go to Zoller School? 530 535 540 545 550 A 550 B 540 C 530 D 500 Quick Check 2-4 2. The Klines are taking a car trip. They will drive 365 miles to visit family members in Maine. To the nearest hundred, about how many miles will the Klines drive? A 300 B 360 C 370 D 400 3. Becky has a secret number. To the nearest ten or the nearest hundred, her number rounds to 200. Which could be Becky’s number? A 186 B 192 C 204 D 208 © Pearson Education, Inc. 3 4. Writing to Explain Describe the steps you would follow to round 647 to the nearest ten. 52 28421_039_063.indd 52 Topic 2 1/16/08 4:49:40 PM Name Quick Check 2-4 1. Zoller School has a total 542 students. Rounded to the nearest ten, about how many students go to Zoller School? 530 535 540 545 550 A 550 B 540 C 530 D 500 Quick Check 2-4 2. The Klines are taking a car trip. They will drive 365 miles to visit family members in Maine. To the nearest hundred, about how many miles will the Klines drive? A 300 B 360 C 370 D 400 3. Becky has a secret number. To the nearest ten or the nearest hundred, her number rounds to 200. Which could be Becky’s number? A 186 B 192 C 204 D 208 4. Writing to Explain Describe the steps you would follow to round 647 to the nearest ten. © Pearson Education, Inc. 3 See students’ samples at the right. 52 28421_039_063.indd 52 Topic 2 3/14/08 12:59:45 PM Name Reteaching 2-4 Rounding You can use place value to round to the nearest ten or hundred. Find the rounding place. If the digit in the ones or the tens place is 5, 6, 7, 8, or 9, then round to the next greater number. If the digit is less than 5, do not change the digit in the rounding place. Round 17 to the nearest ten: 20 Explain. 7 is in the ones place. Round to the next greater ten. Round 153 to the nearest ten. 150 Explain. Because 3 is in the ones place and 3 is less than 5, the digit in Reteaching 2-4 the tens place doesn’t change. Round 575 to the nearest hundred. 600 Explain. Because the 7 in the tens place is 5 or greater, round to the next greater hundred. 1. Round 63 to the nearest ten: Explain. Round each number to the nearest ten. 2. 58 3. 71 4. 927 5. 3,121 Round each number to the nearest hundred. © Pearson Education, Inc. 3 6. 577 7. 820 8. 2,345 9. 8,750 10. Reasoning If you live 71 mi from a river, does it make sense to say you live about 80 mi from the river? Explain. Topic 2 28421_039_063.indd 53 53 1/16/08 4:49:41 PM Name Reteaching 2-4 Rounding You can use place value to round to the nearest ten or hundred. Find the rounding place. If the digit in the ones or the tens place is 5, 6, 7, 8, or 9, then round to the next greater number. If the digit is less than 5, do not change the digit in the rounding place. Round 17 to the nearest ten: 20 Explain. 7 is in the ones place. Round to the next greater ten. Round 153 to the nearest ten. 150 Explain. Because 3 is in the ones place and 3 is less than 5, the digit in Reteaching 2-4 the tens place doesn’t change. Round 575 to the nearest hundred. 600 Explain. Because the 7 in the tens place is 5 or greater, round to the next greater hundred. 60 Explain. Three is in the ones place, so the 6 stays the same. Round each number to the nearest ten. 1. Round 63 to the nearest ten: 2. 58 60 3. 71 70 4. 927 930 5. 3,121 3,120 Round each number to the nearest hundred. © Pearson Education, Inc. 3 6. 577 600 7. 820 800 8. 2,345 2,300 9. 8,750 8,800 10. Reasoning If you live 71 mi from a river, does it make sense to say you live about 80 mi from the river? Explain. No. To the nearest ten, 71 rounds to 70. Topic 2 28421_039_063.indd 53 53 3/14/08 12:59:46 PM Name Practice 2-4 Rounding Round to the nearest ten. 1. 37 2. 93 3. 78 4. 82 5. 24 6. 426 7. 329 8. 815 9. 163 10. 896 Practice 2-4 Round to the nearest hundred. 11. 395 12. 638 13. 782 14. 246 15. 453 16. 529 17. 877 18. 634 19. 329 20. 587 21. Number Sense Tyrell says 753 rounds to 800. Sara says 753 rounds to 750. Who is correct? Explain. 22. Explain It How would you use a number line to round 148 to the nearest ten. 24. Which number does not round to 400? A 347 54 28421_039_063.indd 54 B 369 C 413 D 448 © Pearson Education, Inc. 3 23. There are 254 counties in Texas. What is that number rounded to the nearest ten? What is that number rounded to the nearest hundred? Topic 2 1/16/08 4:49:43 PM Name Practice 2-4 Rounding Round to the nearest ten. 1. 37 40 6. 426 430 2. 93 90 7. 329 330 3. 78 80 4. 82 80 5. 24 20 8. 815 9. 163 10. 896 820 160 900 Round to the nearest hundred. 11. 395 12. 638 13. 782 14. 246 15. 453 16. 529 17. 877 18. 634 19. 329 20. 587 Practice 2-4 400 500 600 900 800 600 200 300 500 600 21. Number Sense Tyrell says 753 rounds to 800. Sara says 753 rounds to 750. Who is correct? Explain. Both are correct. Tyrell rounded 753 to the nearest hundred and Sara rounded 753 to the nearest ten. 22. Explain It How would you use a number line to round 148 to the nearest ten. Since 148 is closer to 150 than to 140 on a number line, 148 rounds to 150. 23. There are 254 counties in Texas. What is that number rounded to the nearest ten? What is that number rounded to the nearest hundred? 24. Which number does not round to 400? A 347 54 28421_039_063.indd 54 B 369 C 413 D 448 © Pearson Education, Inc. 3 250, 300 Topic 2 3/14/08 12:59:47 PM Name And the Answer Is? 1. If 569 rounds to 570, what is the rounding place? Enrichment 2-4 Estimation 2. When this 3-digit number is rounded to the nearest ten, the sum of its digits is 16. The hundreds digit of this number is 8 and the ones digit is 5. What is the number? 3. When this 3-digit number is rounded to the nearest ten, it rounds to 350. The number is less than 360 and greater than 350. The ones digit is an even number that you count after 2. What is the number? Enrichment 2-4 4. When this 3-digit number is rounded to the nearest hundred, it rounds to 200. Rounded to the nearest ten, this number rounds to 200. The sum of the digits of this number is 19. What is the number? 5. When this 3-digit number is rounded to the nearest ten or hundred, the numbers round up. All of the digits in this number are the same. The sum of the digits is 15. What is the number? © Pearson Education, Inc. 3 6. When this 3-digit number is rounded to the nearest hundred, it rounds up to 500. The hundreds digit is less than 6. The digits in the tens and ones place add to a sum of 10 and they are the same. What is the number? 7. When this 3-digit number is rounded to the nearest hundred it rounds down to 900. The digit in the ones place is the fifth odd number that you count beginning with 1. The sum of the digits is 22. What is the number? Topic 2 28421_039_063.indd 55 55 1/16/08 4:49:45 PM Name And the Answer Is? 2-4 Estimation Tens place 2. When this 3-digit number is rounded to the nearest ten, the sum of its digits is 16. The hundreds digit of this number is 8 and the ones digit is 5. What is the number? 875 3. When this 3-digit number is rounded to the nearest ten, it rounds to 350. The number is less than 360 and greater than 350. The ones digit is an even number that you count after 2. What is the number? 354 4. When this 3-digit number is rounded to the nearest hundred, it rounds to 200. Rounded to the nearest ten, this number rounds to 200. The sum of the digits of this number is 19. What is the number? 199 5. When this 3-digit number is rounded to the nearest ten or hundred, the numbers round up. All of the digits in this number are the same. The sum of the digits is 15. What is the number? 555 6. When this 3-digit number is rounded to the nearest hundred, it rounds up to 500. The hundreds digit is less than 6. The digits in the tens and ones place add to a sum of 10 and they are the same. What is the number? 455 7. When this 3-digit number is rounded to the nearest hundred it rounds down to 900. The digit in the ones place is the fifth odd number that you count beginning with 1. The sum of the digits is 22. What is the number? 949 Topic 2 28421_039_063.indd 55 Enrichment 2-4 © Pearson Education, Inc. 3 1. If 569 rounds to 570, what is the rounding place? Enrichment 55 3/14/08 12:59:49 PM Name Daily Spiral Review 2-5 Choose the best answer. 1. There were 283 people at a parade. The local newspaper rounded the attendance to the nearest hundred. How many people did the newspaper say attended the parade? 4. George goes to sleep at the time shown on the digital clock below. Using words, write when George goes to sleep. A 200 B 280 C 290 D 300 2. Which number is greater than 235,187? B 234,988 C 225,187 D 235,188 Approximate Length (mi) 3. How much longer is the St. Gotthard Tunnel than the Shimizu Tunnel? Length of World Tunnels 14 12 10 8 6 4 2 0 B 4 miles C 3 miles D 2 miles 28421_039_063.indd 56 North American Rivers River Length (in miles) Peace 1,210 Snake 1,038 Mackenzie 1,060 Columbia 1,243 Rogers Pass St. Gotthard Shimizu Canada Switzerland Japan A 5 miles 56 6. Use the chart below to order the lengths of the rivers from least to greatest. 7. Write 7,093 in word form. © Pearson Education, Inc. 3 2-5 Daily Spiral Review A 235,167 5. Christine is playing a board game. She scored 35 points on her first turn. On her next turn, she scored 26 points. How many points did Christine score in all? Topic 2 1/16/08 4:49:46 PM Name Daily Spiral Review 2-5 Choose the best answer. 1. There were 283 people at a parade. The local newspaper rounded the attendance to the nearest hundred. How many people did the newspaper say attended the parade? 4. George goes to sleep at the time shown on the digital clock below. Using words, write when George goes to sleep. A 200 B 280 Accept eight-fifty, ten to nine, or fifty minutes past eight. D 300 2. Which number is greater than 235,187? 61 B 234,988 C 225,187 2-5 Daily Spiral Review A 235,167 5. Christine is playing a board game. She scored 35 points on her first turn. On her next turn, she scored 26 points. How many points did Christine score in all? D 235,188 Approximate Length (mi) 3. How much longer is the St. Gotthard Tunnel than the Shimizu Tunnel? Length of World Tunnels 14 12 10 8 6 4 2 0 Rogers Pass St. Gotthard Shimizu Canada Switzerland Japan A 5 miles B 4 miles C 3 miles D 2 miles 56 28421_039_063.indd 56 6. Use the chart below to order the lengths of the rivers from least to greatest. North American Rivers River Length (in miles) Peace 1,210 Snake 1,038 Mackenzie 1,060 Columbia 1,243 Snake, Mackenzie, Peace, Columbia 7. Write 7,093 in word form. seven thousand, ninety-three © Pearson Education, Inc. 3 C 290 Topic 2 3/14/08 12:59:50 PM 28421_039_063.indd 57 © Pearson Education, Inc. 3 Problem Day 2-5 Hector rounded his number to the nearest ten and got 100. What could Hector’s number have been? List all possible answers. of the 2-5 57 Problem of the Day Topic 2 Problem of the Day 2-5 1/16/08 4:49:47 PM Name Addition Number Sense: Estimating Sums Type of Bear Sun Bear Black Bear Interactive Learning Recording Sheet 4 Weight Female Male 78 pounds 95 pounds 215 pounds 345 pounds rounds to rounds to Estimated sum: ! " Interactive Learning Recording Sheet 4 So, the weight of is greater than the weight of . is a compatible number for is a compatible number for Estimated sum: So, the weight of ! " is greater than the weight of . rounds to rounds to So, the weight of ! " is greater than the weight of . 58 28421_039_063.indd 58 © Pearson Education, Inc. 3 Estimated sum: Topic 2 1/16/08 4:49:49 PM Name Jackson Addition Number Sense: Estimating Sums 4 Weight Female Male 78 pounds 95 pounds 215 pounds 345 pounds Type of Bear Sun Bear Black Bear 80 rounds to 100 80 ! 100 " 180 Estimated sum: So, the weight of the female black bear is greater than rounds to the weight of 210 340 2 sun bears . 215 is a compatible number for 345 Estimated sum: 210 ! 340 " 550 So, the weight of 600 is greater than the weight of the female and male black bears 215 rounds to 200 or 220 345 rounds to 300 or 350 is a compatible number for Estimated sum: 210 or 220 ! 300 or 350 " . 500 or 570 600 is greater than the weight of the female and male black bears So, the weight of 58 28421_039_063.indd 58 . © Pearson Education, Inc. 3 Interactive Learning Recording Sheet 4 78 95 Interactive Learning Recording Sheet Topic 2 3/14/08 12:59:53 PM Name 1. The table shows how many books are in a class library. To the nearest ten books, about how many poetry and biography books are there? A 270 Quick Check 2-5 Type of Book Fiction Poetry Biography Science Number 223 51 146 70 B 220 C 200 D 120 2. Jed is in a flying disc contest. His first throw goes 97 feet. His next throw goes 128 feet. Which number sentence shows the best way to estimate the total distance of both throws? A 100 ! 100 " 200 B 100 ! 120 " 220 Quick Check 2-5 C 97 ! 128 " 225 D 100 ! 130 " 230 © Pearson Education, Inc. 3 3. Writing to Explain A car in a carnival ride can hold 400 pounds. Dad weighs 196 pounds. Mom weighs 133 pounds. Can both ride the car safely together? Explain how you would estimate to find your answer. Tell how you know your answer makes sense. Topic 2 28421_039_063.indd 59 59 1/16/08 4:49:50 PM Name 1. The table shows how many books are in a class library. To the nearest ten books, about how many poetry and biography books are there? A 270 Quick Check 2-5 Type of Book Fiction Poetry Biography Science Number 223 51 146 70 B 220 C 200 D 120 2. Jed is in a flying disc contest. His first throw goes 97 feet. His next throw goes 128 feet. Which number sentence shows the best way to estimate the total distance of both throws? A 100 ! 100 " 200 B 100 ! 120 " 220 Quick Check 2-5 C 97 ! 128 " 225 D 100 ! 130 " 230 3. Writing to Explain A car in a carnival ride can hold 400 pounds. Dad weighs 196 pounds. Mom weighs 133 pounds. Can both ride the car safely together? Explain how you would estimate to find your answer. Tell how you know your answer makes sense. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_039_063.indd 59 59 3/14/08 12:59:54 PM Name Reteaching 2-5 Estimating Sums Suppose your class has a goal of saving 275 cereal box tops. 136 152 Does your class have enough box tops to reach the goal? Reteaching 2-5 Since you only need to know if you have enough, you can estimate. You can estimate by rounding. You can round each addend to the nearest ten or hundred. Then add the rounded numbers. Round to the nearest ten. Round to the nearest hundred. 136 ! 140 136 ! 100 ! 152 ! 150 290 ! 152 ! 200 300 Since 290 " 275, you have enough. Since 300 " 275, you have enough. Round to the nearest ten to estimate each sum. 1. 42 ! 98 # 2. 36 ! 59 # 3. 288 ! 475 # Round to the nearest hundred to estimate each sum. 5. 436 ! 309 # 6. 76 ! 487 # 7. Reasonableness Sun-Yi estimated 270 ! 146 and got 300. Is her estimate reasonable? Explain. 60 28421_039_063.indd 60 © Pearson Education, Inc. 3 4. 378 ! 136 # Topic 2 1/16/08 4:49:52 PM Name Reteaching 2-5 Estimating Sums Suppose your class has a goal of saving 275 cereal box tops. 136 152 Does your class have enough box tops to reach the goal? You can estimate by rounding. You can round each addend to the nearest ten or hundred. Then add the rounded numbers. Round to the nearest ten. Round to the nearest hundred. 136 ! 140 136 ! 100 ! 152 ! 150 290 ! 152 ! 200 300 Since 290 " 275, you have enough. Since 300 " 275, you have enough. Round to the nearest ten to estimate each sum. 1. 42 ! 98 # 140 2. 36 ! 59 # 100 3. 288 ! 475 # 770 6. 76 ! 487 # 600 Round to the nearest hundred to estimate each sum. 4. 378 ! 136 # 500 5. 436 ! 309 # 700 7. Reasonableness Sun-Yi estimated 270 ! 146 and got 300. Is her estimate reasonable? Explain. No. If you round to the nearest hundred the estimate 60 28421_039_063.indd 60 is 300 ! 100 " 400. If you round to the nearest ten the estimate is 270 ! 150 " 420. © Pearson Education, Inc. 3 Reteaching 2-5 Since you only need to know if you have enough, you can estimate. Topic 2 3/14/08 12:59:56 PM Name Practice 2-5 Estimating Sums Round to the nearest ten to estimate. 1. 58 ! 43 2. 87 ! 69 3. 37 ! 141 4. 422 ! 296 7. 713 ! 82 8. 313 ! 405 Round to the nearest hundred to estimate. 5. 536 ! 393 6. 242 ! 359 Use compatible numbers to estimate. Sample answers are given. Accept reasonable answers. 9. 83 ! 34 10. 329 ! 64 11. 212 ! 347 12. 537 ! 244 Practice 2-5 13. Reasonableness Miguel has 325 baseball cards and 272 football cards. He said that he has 597 cards in all. Is his answer reasonable? Explain using estimation. 14. Write a Problem Natalie has 138 DVDs and 419 CDs. If you were to estimate the sum of the DVDs and CDs, what sentence could you write? Then find your estimated sum. © Pearson Education, Inc. 3 15. Which of the following shows estimating 287 ! 491 by using compatible numbers? A 100 ! 500 B 300 ! 400 C 280 ! 400 D 280 ! 500 Topic 2 28421_039_063.indd 61 61 1/16/08 4:49:53 PM Name Practice 2-5 Estimating Sums Round to the nearest ten to estimate. 1. 58 ! 43 100 2. 87 ! 69 160 3. 37 ! 141 4. 422 ! 296 7. 713 ! 82 8. 313 ! 405 180 720 Round to the nearest hundred to estimate. 5. 536 ! 393 900 6. 242 ! 359 600 800 700 Use compatible numbers to estimate. Sample answers are given. Accept reasonable answers. 9. 83 ! 34 120 10. 329 ! 64 395 11. 212 ! 347 12. 537 ! 244 560 780 Miguel’s answer is reasonable. Round the number of Practice 2-5 13. Reasonableness Miguel has 325 baseball cards and 272 football cards. He said that he has 597 cards in all. Is his answer reasonable? Explain using estimation. cards to the nearest ten: 325 rounds to 330 and 272 rounds to 270, and 330 ! 270 " 600. Since 597 is close to 600, the answer is reasonable. 14. Write a Problem Natalie has 138 DVDs and 419 CDs. If you were to estimate the sum of the DVDs and CDs, what sentence could you write? Then find your estimated sum. Possible answers: 140 ! 420 " 560 or 100 ! 400 " 500 © Pearson Education, Inc. 3 15. Which of the following shows estimating 287 ! 491 by using compatible numbers? A 100 ! 500 B 300 ! 400 C 280 ! 400 D 280 ! 500 Topic 2 28421_039_063.indd 61 61 3/14/08 12:59:57 PM Name Enrichment 2-5 Art Supplies The Art Club is planning to buy new supplies. There are 12 students in the club. The list at the right shows the different packages and the price for each package. The club plans to buy only 2 packages from the list. 1. Which two packages on the list are the least expensive? Decision Making Supply Packages Price 1 dozen paintbrushes $24 6 watercolor sets $54 2 dozen pads of paper $72 4 sets of colored pencils $18 12 tubes of oil paint $33 Enrichment 2-5 2. Which two packages are the most expensive? 3. Which two packages on the list cost about $40 all together? 4. Which two packages on the list cost about $85 all together? 6. Without a spending limit, which two packages should the Art Club buy? Explain your answer. 62 28421_039_063.indd 62 © Pearson Education, Inc. 3 5. Besides the cost of the items, what are two questions that the Art Club should ask before purchasing supplies? Topic 2 1/16/08 4:49:54 PM Name Enrichment 2-5 Art Supplies The Art Club is planning to buy new supplies. There are 12 students in the club. The list at the right shows the different packages and the price for each package. The club plans to buy only 2 packages from the list. 1. Which two packages on the list are the least expensive? Paintbrushes and colored pencils Decision Making Supply Packages Price 1 dozen paintbrushes $24 6 watercolor sets $54 2 dozen pads of paper $72 4 sets of colored pencils $18 12 tubes of oil paint $33 2. Which two packages are the most expensive? Enrichment 2-5 Watercolor sets and paper 3. Which two packages on the list cost about $40 all together? Paintbrushes and colored pencils 4. Which two packages on the list cost about $85 all together? Watercolor sets and oil paint 5. Besides the cost of the items, what are two questions that the Art Club should ask before purchasing supplies? 6. Without a spending limit, which two packages should the Art Club buy? Explain your answer. Sample answer: Paper and watercolor sets; They contain the most supplies. 62 28421_039_063.indd 62 © Pearson Education, Inc. 3 Sample answers: What supplies does the club need the most? What supplies do members use the most? Topic 2 3/14/08 12:59:58 PM Name Daily Spiral Review 2-6 Choose the best answer. 1. Margot has the money shown below in her backpack. 4. Order the numbers from least to greatest. 961, 971, 917, 977 What is the value of the money in Margot’s backpack? A $6.77 B $6.72 5. There are 276 students at Johnson Elementary School. There are 412 students at Eisenhower Elementary School. Estimate the total number of students all together. C $6.67 D $6.57 B Subtract 8 C Subtract 12 2-6 A Add 8 Phil has 10 golf balls. Steve has twice as many golf balls as Phil. Paul has 2 more golf balls than Phil and Steve have all together. 6. How many golf balls does Steve have? Daily Spiral Review 2. Which describes the pattern below? 72, 64, 56, 48, 40, … Use this information to answer 6 and 7. D Add 12 3. What is 312 rounded to the nearest ten? 7. How many golf balls does Paul have? A 300 B 310 © Pearson Education, Inc. 3 C 320 D 400 Topic 2 28421_039_063.indd 63 63 1/16/08 4:49:56 PM Name Daily Spiral Review 2-6 Choose the best answer. 1. Margot has the money shown below in her backpack. 4. Order the numbers from least to greatest. 961, 971, 917, 977 917, 961, 971, 977 What is the value of the money in Margot’s backpack? A $6.77 B $6.72 C $6.67 D $6.57 B Subtract 8 C Subtract 12 D Add 12 3. What is 312 rounded to the nearest ten? A 300 B 310 Use this information to answer 6 and 7. Phil has 10 golf balls. Steve has twice as many golf balls as Phil. Paul has 2 more golf balls than Phil and Steve have all together. 2-6 A Add 8 Accept 690 or 700 6. How many golf balls does Steve have? Daily Spiral Review 2. Which describes the pattern below? 72, 64, 56, 48, 40, … 5. There are 276 students at Johnson Elementary School. There are 412 students at Eisenhower Elementary School. Estimate the total number of students all together. 20 7. How many golf balls does Paul have? 32 © Pearson Education, Inc. 3 C 320 D 400 Topic 2 28421_039_063.indd 63 63 3/14/08 1:00:00 PM 64 28421_064_087.indd 64 Problem of the Day 2-6 Topic 2 Problem of the Day 2-6 Write a number sentence. Then solve. Hope had 14 dolls in her collection. She received 2 more as gifts. How many dolls did Hope have then? 2-6 Problem of the Day 1/16/08 4:47:15 PM © Pearson Education, Inc. 3 Name Quick Check 2-6 1. Two teams had a tug-of-war. There were 28 kids on the red team. There were 27 kids on the blue team. How many kids were in the tug-of-war in all? A 45 B 46 C 54 D 55 2. Clay rode his bike 56 miles last week. He rode his bike 67 miles this week. He hopes to ride 72 miles next week. Which number sentence shows how many miles Clay has ridden so far? A 56 ! 67 " ■ B 56 ! 72 " ■ C 56 ! 67 ! 72 " ■ D 72 # 67 " ■ © Pearson Education, Inc. 3 Quick Check 2-6 3. Writing to Explain Suppose you want to estimate the sum of 86 and 19. Explain your thinking. Then show how to find the exact sum. Explain how to know if your answer makes sense. Topic 2 28421_064_087.indd 65 65 1/16/08 4:47:16 PM Name Quick Check 2-6 1. Two teams had a tug-of-war. There were 28 kids on the red team. There were 27 kids on the blue team. How many kids were in the tug-of-war in all? A 45 B 46 C 54 D 55 2. Clay rode his bike 56 miles last week. He rode his bike 67 miles this week. He hopes to ride 72 miles next week. Which number sentence shows how many miles Clay has ridden so far? A 56 ! 67 " ■ B 56 ! 72 " ■ C 56 ! 67 ! 72 " ■ D 72 # 67 " ■ Quick Check 2-6 3. Writing to Explain Suppose you want to estimate the sum of 86 and 19. Explain your thinking. Then show how to find the exact sum. Explain how to know if your answer makes sense. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_064_087.indd 65 65 3/14/08 1:02:19 PM Name Reteaching 2-6 Adding 2-Digit Numbers To find 27 ! 57, first estimate by rounding. Since 7 " 5, round 27 to 30 and 57 to 60. Then add: 30 ! 60 # 90. Ones Tens Ones 1 Reteaching 2-6 Tens 1. 28 ! 34 2. 56 ! 22 3. 84 ! 17 4. 49 ! 72 5. 26 ! 19 6. 65 ! 23 7. 22 ! 79 8. 38 ! 85 9. Reasonableness Hannah added 65 and 26 and got 81. Is this answer reasonable? Explain. 66 28421_064_087.indd 66 © Pearson Education, Inc. 3 Estimate. Then find each sum. Topic 2 1/16/08 4:47:18 PM Name Reteaching 2-6 Adding 2-Digit Numbers To find 27 ! 57, first estimate by rounding. Since 7 " 5, round 27 to 30 and 57 to 60. Then add: 30 ! 60 # 90. Ones Tens Ones 1 Reteaching 2-6 Tens Estimate. Then find each sum. 28 ! 34 60, 62 5. 26 ! 19 50, 45 2. 56 ! 22 80, 78 6. 65 ! 23 90, 88 3. 4. 84 ! 17 49 ! 72 100, 101 120, 121 7. 8. 22 ! 79 100, 101 38 ! 85 130, 123 9. Reasonableness Hannah added 65 and 26 and got 81. Is this answer reasonable? Explain. No; The estimate would be close to 90. 66 Topic 2 The actual answer is 91. 28421_064_087.indd 66 © Pearson Education, Inc. 3 1. 3/14/08 1:02:21 PM Name Practice 2-6 Adding 2-Digit Numbers Estimate. Then find each sum. 1. 73 ! 19 2. 16 ! 48 3. 52 ! 79 4. 28 ! 25 5. 47 ! 34 6. 53 ! 45 7. 37 ! 21 8. 63 ! 24 9. 59 ! 76 10. 29 ! 44 11. 58 ! 28 12. 53 ! 72 13. 66 ! 23 14. 42 ! 31 15. 36 ! 52 16. Critical Thinking Mr. McWilliams drove 76 miles Monday and 43 miles Tuesday. Follow the steps to find how many miles Mr. McWilliams drove all together. a. Write a number sentence to show how to solve the problem. Practice 2-6 b. Estimate the total distance Mr. McWilliams drove. c. Find the actual total distance. © Pearson Education, Inc. 3 17. Reasoning Using four different digits, what is the least sum you can get when you add two 2-digit numbers? Write your problem. 18. There are 72 people on a train when 25 more people enter. How many people are on the train now? A 79 B 87 C 97 D 98 Topic 2 28421_064_087.indd 67 67 1/16/08 4:47:19 PM Name Practice 2-6 Adding 2-Digit Numbers Estimate. Then find each sum. 1. 73 ! 19 2. 16 ! 48 3. 37 ! 21 8. 52 ! 79 4. 28 ! 25 90; 92 70; 64 130; 131 60; 53 6. 7. 9. 53 ! 45 100; 98 11. 60; 58 58 ! 28 12. 53 ! 72 63 ! 24 5. 80; 81 59 ! 76 10. 80; 87 140; 135 13. 90; 86 120; 125 66 ! 23 90; 89 14. 47 ! 34 29 ! 44 70; 73 42 ! 31 15. 70; 73 36 ! 52 90; 88 16. Critical Thinking Mr. McWilliams drove 76 miles Monday and 43 miles Tuesday. Follow the steps to find how many miles Mr. McWilliams drove all together. a. Write a number sentence to show how to solve the problem. Practice 2-6 76 ! 43 " ! b. Estimate the total distance Mr. McWilliams drove. 80 ! 40 " 120 c. Find the actual total distance. 76 ! 43 " 119 17. Reasoning Using four different digits, what is the least sum you can get when you add two 2-digit numbers? Write your problem. © Pearson Education, Inc. 3 33; 13 ! 20 " 33 or 10 ! 23 " 33 18. There are 72 people on a train when 25 more people enter. How many people are on the train now? A 79 B 87 C 97 D 98 Topic 2 28421_064_087.indd 67 67 3/14/08 1:02:22 PM Name Enrichment 2-6 Model the Sum Draw the missing tens and ones for each sum. 1. Number Sense 2. 48 73 4. Enrichment 2-6 3. 105 39 Write the missing numbers. 7 5. 6. 1 2 7. 4 2 1 1 0 9 5 © Pearson Education, Inc. 3 9 6 68 28421_064_087.indd 68 Topic 2 1/16/08 4:47:21 PM Name Enrichment 2-6 Model the Sum Draw the missing tens and ones for each sum. 1. Number Sense For 1–4, sample answers are given. 2. 48 73 4. Enrichment 2-6 3. 105 39 Write the missing numbers. 5. 3 7 1 2 9 8 1 1 0 7. 4 5 3 2 9 5 © Pearson Education, Inc. 3 9 6 6. 68 28421_064_087.indd 68 Topic 2 3/14/08 1:02:24 PM Name Daily Spiral Review 2-7 Choose the best answer. 1. The Spurs scored 18 points in the first quarter. They scored 27 more points before halftime. How many total points did the Spurs have at halftime? A 35 Compare the numbers. Use !, ", or # to answer 4 and 5. 4. 673 773 5. 2,107 2,017 B 44 C 45 D 55 2. Carrie has $0.81 in her pocket. Which coins could she have? 6. Melissa read 38 pages of a book yesterday. Today she read 46 more pages. How many pages of the book has Melissa read all together? A 3 quarters and 1 penny 7. Write an example of the Associative Property of Addition using the numbers 3, 4, and 7. B 3 quarters, 1 nickel, and 1 penny C 3 quarters, 1 dime, and 1 penny D 3 quarters and 1 nickel 1 2 Money Earned $5 $10 3 2-7 Number of Weeks 8. Artie has $0.25. He does not have any pennies. In how many different ways can Artie have $0.25? Daily Spiral Review 3. Carlos earns $5 allowance each week. How much money will he earn after 4 weeks? 4 List them. A $40 B $25 © Pearson Education, Inc. 3 C $20 D $15 Topic 2 28421_064_087.indd 69 69 1/16/08 4:47:22 PM Name Daily Spiral Review 2-7 Choose the best answer. 1. The Spurs scored 18 points in the first quarter. They scored 27 more points before halftime. How many total points did the Spurs have at halftime? A 35 Compare the numbers. Use !, ", or # to answer 4 and 5. < 773 2,107 > 2,017 4. 673 5. B 44 C 45 D 55 2. Carrie has $0.81 in her pocket. Which coins could she have? 6. Melissa read 38 pages of a book yesterday. Today she read 46 more pages. How many pages of the book has Melissa read all together? 84 A 3 quarters and 1 penny 7. Write an example of the Associative Property of Addition using the numbers 3, 4, and 7. B 3 quarters, 1 nickel, and 1 penny C 3 quarters, 1 dime, and 1 penny D 3 quarters and 1 nickel 1 2 Money Earned $5 $10 A $40 B $25 © Pearson Education, Inc. 3 C $20 D $15 3 4 4 List them. 1 quarter, 2 dimes and 1 nickel, 1 dime and 3 nickels, 5 nickels Topic 2 28421_064_087.indd 69 2-7 Number of Weeks 8. Artie has $0.25. He does not have any pennies. In how many different ways can Artie have $0.25? Daily Spiral Review 3. Carlos earns $5 allowance each week. How much money will he earn after 4 weeks? Possible answer: 3 ! (7 ! 4) " (3 ! 7) ! 4 69 3/14/08 1:02:25 PM 70 28421_064_087.indd 70 Problem of the Day 2-7 Topic 2 Problem of the Day 2-7 2-7 1/16/08 4:47:24 PM © Pearson Education, Inc. 3 Problem of the Day Muffins Made Tell if you need an Number of Person Muffins exact answer or an Jada 28 17 estimate. Then solve. Courtney Tanya 13 Jada and her friends Debbie 12 want to make at least 60 muffins for the bake sale. Did they make enough? Name Quick Check 2-7 1. Which number sentence do the place-value blocks below show? A 361 ! 154 " 515 B 316 ! 145 " 561 C 316 ! 145 " 454 D 316 ! 145 " 461 2. A movie played on Saturday and on Sunday. On Saturday, 284 people bought tickets for the show. On Sunday, 327 people bought tickets for the show. How many tickets were sold in all? A 1,511 B 701 C 611 D 501 © Pearson Education, Inc. 3 Quick Check 2-7 3. Writing to Explain Write the steps you follow to add two 3-digit numbers. Be sure to explain how to tell whether or not you need to regroup. Topic 2 28421_064_087.indd 71 71 1/16/08 4:47:25 PM Name Quick Check 2-7 1. Which number sentence do the place-value blocks below show? A 361 ! 154 " 515 B 316 ! 145 " 561 C 316 ! 145 " 454 D 316 ! 145 " 461 2. A movie played on Saturday and on Sunday. On Saturday, 284 people bought tickets for the show. On Sunday, 327 people bought tickets for the show. How many tickets were sold in all? A 1,511 B 701 C 611 D 501 Quick Check 2-7 3. Writing to Explain Write the steps you follow to add two 3-digit numbers. Be sure to explain how to tell whether or not you need to regroup. © Pearson Education, Inc. 3 See students’ samples at the right. Topic 2 28421_064_087.indd 71 71 3/14/08 1:02:28 PM Name Reteaching 2-7 Models for Adding 3-Digit Numbers Find 152 ! 329. Step 1: Show each number with place-value blocks. Step 2: Combine the ones. 2 ! 9 " 11 Step 3: Combine the tens. 50 ! 20 " 70 Step 4: Combine the hundreds. Reteaching 2-7 Step 5: Add. 100 ! 300 " 400 400 ! 70 ! 11 " 481 Write each problem and find the sum. 1. 2. 3. © Pearson Education, Inc. 3 4. 72 28421_064_087.indd 72 Topic 2 1/16/08 4:47:27 PM Name Reteaching 2-7 Models for Adding 3-Digit Numbers Find 152 ! 329. Step 1: Show each number with place-value blocks. Step 2: Combine the ones. 2 ! 9 " 11 Step 3: Combine the tens. 50 ! 20 " 70 Step 4: Combine the hundreds. 400 ! 70 ! 11 " 481 Write each problem and find the sum. 1. 133 ! 87 " 220 2. 256 ! 122 " 378 3. 146 ! 134 " 280 4. 72 28421_064_087.indd 72 263 ! 248 " 511 © Pearson Education, Inc. 3 Reteaching 2-7 Step 5: Add. 100 ! 300 " 400 Topic 2 3/14/08 1:02:30 PM Name Practice 2-7 Models for Adding 3-Digit Numbers Write each problem and find the sum. 1. 2. 3. Number Sense Ed wants to show 137 ! 429 with placevalue blocks. He has enough hundreds and ones blocks but only 4 tens blocks. Can he show the problem? Explain. 4. Museum A has 127 steps. Museum B has 194 steps. How many steps do the museums have all together? Place-value blocks may help. Practice 2-7 5. The country of Malta has an area of 316 square miles. The country of Saint Kitts and Nevis has an area of 261 square miles. What is the area of the two countries all together? square miles © Pearson Education, Inc. 3 6. The longest vertical lift drawbridge in the United States is the Arthur Kill Bridge at 558 feet. The longest steel truss bridge in the United States is the Glade Creek Bridge. The Glade Creek Bridge is 226 feet longer than the Arthur Kill Bridge. How many feet long is the Glade Creek Bridge? feet 7. Larry was playing a board game. Larry scored 273 points on the first game and 248 points on the second game. How many points did Larry score in all? A 411 B 421 C 511 D 521 Topic 2 28421_064_087.indd 73 73 1/16/08 4:47:28 PM Name Practice 2-7 Models for Adding 3-Digit Numbers Write each problem and find the sum. 1. 2. 243 ! 112 " 355 37 ! 148 " 185 3. Number Sense Ed wants to show 137 ! 429 with placevalue blocks. He has enough hundreds and ones blocks but only 4 tens blocks. Can he show the problem? Explain. No, he does not have enough tens blocks. He needs to have at least 5 tens blocks. 4. Museum A has 127 steps. Museum B has 194 steps. How many steps do the museums have all together? Place-value blocks may help. 321 Practice 2-7 5. The country of Malta has an area of 316 square miles. The country of Saint Kitts and Nevis has an area of 261 square miles. What is the area of the two countries all together? 577 square miles © Pearson Education, Inc. 3 6. The longest vertical lift drawbridge in the United States is the Arthur Kill Bridge at 558 feet. The longest steel truss bridge in the United States is the Glade Creek Bridge. The Glade Creek Bridge is 226 feet longer than the Arthur Kill Bridge. How many feet long is the Glade Creek Bridge? 784 feet 7. Larry was playing a board game. Larry scored 273 points on the first game and 248 points on the second game. How many points did Larry score in all? A 411 B 421 C 511 D 521 Topic 2 28421_064_087.indd 73 73 3/14/08 1:02:31 PM Name Enrichment 2-7 Town Squares Number Sense James and Belinda traveled from their hometown, Mathville, to several different cities. The table shows the distances from Mathville to each city. Use the distances to divide each town square shown below in half. In the squares, each city is represented by the first letter in its name. The sum of the distances in one half of the square must equal the sum of the distances in the other half. 1. 2. A E 3. G A Distances from Mathville to: Allentown 359 mi Bensonville 430 mi Centropolis 110 mi Denton City 119 mi Edgarton 249 mi Franksburg 229 mi Grandview 158 mi Highfield 407 mi Irving Glen 178 mi 4. D E A F B B I C H A F G Replace the letters with numbers that will correctly solve the problem. 5. 359 ! ADD 570 6. 123 ! SUM 579 7. 179 ! AND 425 8. 135 ! ODD 846 74 Topic 2 28421_064_087.indd 74 © Pearson Education, Inc. 3 Enrichment 2-7 Number Words 1/16/08 4:47:29 PM Name Enrichment 2-7 Town Squares Number Sense James and Belinda traveled from their hometown, Mathville, to several different cities. The table shows the distances from Mathville to each city. Use the distances to divide each town square shown below in half. In the squares, each city is represented by the first letter in its name. The sum of the distances in one half of the square must equal the sum of the distances in the other half. 1. 608 517 2. 3. 478 A E G A D E B I C H A F Distances from Mathville to: 4. A Allentown 359 mi Bensonville 430 mi Centropolis 110 mi Denton City 119 mi Edgarton 249 mi Franksburg 229 mi Grandview 158 mi Highfield 407 mi Irving Glen 178 mi 588 or the square divided by a F B horizontal or G a vertical rule. Replace the letters with numbers that will correctly solve the problem. 5. 359 ! ADD 570 ADD ! 211 6. 123 ! SUM 579 SUM ! 456 7. 179 ! AND 425 AND ! 246 8. 135 ! ODD 846 ODD ! 711 74 Topic 2 28421_064_087.indd 74 © Pearson Education, Inc. 3 Enrichment 2-7 Number Words 3/14/08 1:02:32 PM Name Daily Spiral Review 2-8 Choose the best answer. 1. Barry wants to make a threedimensional shape with 2 circles and 1 rectangle. What is the name of the shape that Barry can make? A Cube B Cylinder C Pyramid D Prism 2. Which property of addition is shown below? 7!4"4!7 Write each missing number. 4. 9 ! 5. 7 ! 8 " "9 !7 6. Yasmine bowled two games. She scored 87 on her first game and 78 on her second game. What was Yasmine’s combined score? 7. Write the word form of 2,803. A Associative B Commutative C Identity D Inverse A 557 B 593 Daily Spiral Review 2-8 3. A report said there are 600 students at Springfield Elementary School. The number was rounded to the nearest ten. How many students could there actually be? 8. Doug is reading two books. The first book is 322 pages. The second book is 589 pages. Rounded to the nearest hundred, about how many pages will Doug read? 9. Name an activity that takes about one hour. C 604 © Pearson Education, Inc. 3 D 636 Topic 2 28421_064_087.indd 75 75 1/16/08 4:47:31 PM Name Daily Spiral Review 2-8 Choose the best answer. 1. Barry wants to make a threedimensional shape with 2 circles and 1 rectangle. What is the name of the shape that Barry can make? A Cube B Cylinder C Pyramid D Prism 2. Which property of addition is shown below? 7!4"4!7 A Associative B Commutative C Identity D Inverse A 557 B 593 C 604 0 5. 7 ! 8 " "9 8 !7 6. Yasmine bowled two games. She scored 87 on her first game and 78 on her second game. What was Yasmine’s combined score? 165 7. Write the word form of 2,803. two thousand, eight hundred three 8. Doug is reading two books. The first book is 322 pages. The second book is 589 pages. Rounded to the nearest hundred, about how many pages will Doug read? 900 9. Name an activity that takes about one hour. Answers will vary. Sample answer: Play soccer. © Pearson Education, Inc. 3 D 636 4. 9 ! Daily Spiral Review 2-8 3. A report said there are 600 students at Springfield Elementary School. The number was rounded to the nearest ten. How many students could there actually be? Write each missing number. Topic 2 28421_064_087.indd 75 75 3/14/08 1:02:34 PM 76 28421_064_087.indd 76 Problem of the Day 2-8 Topic 2 Problem of the Day 2-8 Write a number sentence. Then solve. Spencer’s basketball team scored 17 points in the first half and 24 points in the second half. What was the team’s final score? 2-8 Problem of the Day 1/16/08 4:47:32 PM © Pearson Education, Inc. 3 Name Quick Check 2-8 1. Last year Devin took 628 pictures of his puppy. Carson took 487 pictures of his cat. How many pictures did the boys take in all? A 1,015 B 1,105 C 1,115 D 1,205 2. Captain Ferry is a pilot. She flew 874 miles on Monday, 915 miles on Tuesday, and 708 miles on Wednesday. Which number sentence shows how far she flew on Monday and on Wednesday? A 874 ! 915 ! 708 " 2,497 miles B 874 ! 915 " 1,789 miles C 915 ! 708 " 1,623 miles D 708 ! 874 " 1,582 miles 3. Writing to Explain Zoë added 403 and 968 in her head. She got the exact sum correctly and quickly. Explain how you think she did this. © Pearson Education, Inc. 3 Quick Check 2-8 Topic 2 28421_064_087.indd 77 77 1/16/08 4:47:34 PM Name Quick Check 2-8 1. Last year Devin took 628 pictures of his puppy. Carson took 487 pictures of his cat. How many pictures did the boys take in all? A 1,015 B 1,105 C 1,115 D 1,205 2. Captain Ferry is a pilot. She flew 874 miles on Monday, 915 miles on Tuesday, and 708 miles on Wednesday. Which number sentence shows how far she flew on Monday and on Wednesday? A 874 ! 915 ! 708 " 2,497 miles B 874 ! 915 " 1,789 miles C 915 ! 708 " 1,623 miles D 708 ! 874 " 1,582 miles 3. Writing to Explain Zoë added 403 and 968 in her head. She got the exact sum correctly and quickly. Explain how you think she did this. See students’ samples at the right. © Pearson Education, Inc. 3 Quick Check 2-8 Topic 2 28421_064_087.indd 77 77 3/14/08 1:02:37 PM Name Reteaching 2-8 Adding 3-Digit Numbers Find 237 ! 186. Hundreds Tens Ones 200 30 7 100 80 6 237 186 Step 1: Add the ones. 7 ones ! 6 ones " 13 ones Regroup. 13 ones " 1 ten, 3 ones Step 2: Add the tens. 1 ten ! 3 tens ! 8 tens " 12 tens Regroup. 12 tens " 1 hundred, 2 tens Step 3: Add the hundreds. 1 hundred ! 2 hundreds ! 1 hundred " 4 hundreds Add together the hundreds, tens, and ones. Reteaching 2-8 400 ! 20 ! 3 " 423 Estimate. Then find each sum. 1. 118 ! 146 2. 283 ! 147 3. 542 ! 109 4. 220 ! 479 5. Find the sum of 456 and 238. 7. Estimation Estimate to decide which sum is less than 600: 356 ! 292 or 214 ! 356. 78 28421_064_087.indd 78 © Pearson Education, Inc. 3 6. Add 109 and 656. Topic 2 1/16/08 4:47:35 PM Name Reteaching 2-8 Adding 3-Digit Numbers Find 237 ! 186. Hundreds Tens Ones 200 30 7 100 80 6 237 186 Step 1: Add the ones. 7 ones ! 6 ones " 13 ones Regroup. 13 ones " 1 ten, 3 ones Step 2: Add the tens. 1 ten ! 3 tens ! 8 tens " 12 tens Regroup. 12 tens " 1 hundred, 2 tens Step 3: Add the hundreds. 1 hundred ! 2 hundreds ! 1 hundred " 4 hundreds Add together the hundreds, tens, and ones. Estimate. Then find each sum. 1. 118 ! 146 200, 264 2. 283 ! 147 400, 430 3. 542 ! 109 600, 651 4. 220 ! 479 6. Add 109 and 656. 700, 699 694 765 7. Estimation Estimate to decide which sum is less than 600: 356 ! 292 or 214 ! 356. 214 ! 356 5. Find the sum of 456 and 238. 78 28421_064_087.indd 78 © Pearson Education, Inc. 3 Reteaching 2-8 400 ! 20 ! 3 " 423 Topic 2 3/14/08 1:02:38 PM Name Practice 2-8 Adding 3-Digit Numbers Estimate. Then find each sum. 1. 329 ! 468 6. 645 ! 79 2. 148 ! 231 7. 536 ! 399 3. 555 ! 222 8. 4. 472 ! 515 5. 268 ! 422 10. Critical Thinking Follow the steps below to find how many combined points were scored by Howie and Theo. a. Write a number sentence to show how to solve the problem. 9. 396 ! 428 633 ! 210 Points Scored Player Points Howie 272 Theo 325 Isabel 288 b. Estimate the total points scored by Howie and Theo. c. Find the actual total. Practice 2-8 11. Explain It Write an addition story for two 3-digit numbers. Write the answer to your story. © Pearson Education, Inc. 3 12. Sharon can run 278 yards in one minute. Pete can run 145 more yards than Sharon in one minute. How many yards can Pete run in one minute? 13. There were 752 people at a town meeting last week. There were 163 more people this week. How many people attended this week’s meeting? A 815 B 825 C 915 D 925 Topic 2 28421_064_087.indd 79 79 1/16/08 4:47:37 PM Name Practice 2-8 Adding 3-Digit Numbers Estimate. Then find each sum. Estimates may vary. 1. 329 ! 468 2. 148 ! 231 3. 555 ! 222 4. 472 ! 515 5. 396 ! 428 800; 797 300; 379 800; 777 1,000; 987 800; 824 6. 645 ! 79 7. 536 ! 399 700; 724 900; 935 8. 268 ! 422 9. 700; 690 10. Critical Thinking Follow the steps below to find how many combined points were scored by Howie and Theo. a. Write a number sentence to show how to solve the problem. 272 ! 325 " ! 633 ! 210 800; 843 Points Scored Player Points Howie 272 Theo 325 Isabel 288 b. Estimate the total points scored by Howie and Theo. Possible estimate: 300 ! 300 " 600 c. Find the actual total. 272 ! 325 " 597 Practice 2-8 11. Explain It Write an addition story for two 3-digit numbers. Write the answer to your story. Answers will vary. Check students’ work. 12. Sharon can run 278 yards in one minute. Pete can run 145 more yards than Sharon in one minute. How many yards can Pete run in one minute? © Pearson Education, Inc. 3 423 13. There were 752 people at a town meeting last week. There were 163 more people this week. How many people attended this week’s meeting? A 815 B 825 C 915 D 925 Topic 2 28421_064_087.indd 79 79 3/14/08 1:02:40 PM Name Enrichment Baseball by the Numbers In this math baseball game, each position is marked with a number value. If the ball lands on any of the positions shown, you will score points. Which two position number values would the ball have to land on in order to get the sums listed below? 2-8 Number Sense 442 443 222 441 556 231 668 101 Home Run 999 1. Sum ! 332 2. Sum ! 884 Enrichment 2-8 3. Sum ! 665 4. Sum ! 543 5. Sum ! 769 6. Sum ! 453 8. The sum of which two numbers would equal more than a home run? 9. What is the lowest score for two numbers? 80 28421_064_087.indd 80 © Pearson Education, Inc. 3 7. The sum of which two numbers would equal a home run? Topic 2 1/16/08 4:47:38 PM Name Enrichment 2-8 Baseball by the Numbers In this math baseball game, each position is marked with a number value. If the ball lands on any of the positions shown, you will score points. Which two position number values would the ball have to land on in order to get the sums listed below? Number Sense 442 443 222 441 556 231 668 101 Home Run 999 231 ! 101 ! 443 Sum ! 884 441 ! 443 Sum ! 665 222 ! 101 Sum ! 543 442 ! 101 Sum ! 769 668 ! 231 Sum ! 453 222 2. Enrichment 2-8 3. 4. 5. 6. 7. The sum of which two numbers would equal a home run? 8. The sum of which two numbers would equal more than a home run? 9. What is the lowest score for two numbers? 222 ! 101 " 323 80 28421_064_087.indd 80 443 ! 556 Sample answer: 556 ! 668 © Pearson Education, Inc. 3 1. Sum ! 332 Topic 2 3/14/08 1:02:41 PM Name Daily Spiral Review 2-9 Choose the best answer. 1. Tim had 48 DVDs last year. He has since bought 16 more DVDs. How many DVDs does Tim have now? 4. Find the sum. 326 ! 458 A 32 B 54 C 64 5. What number makes the sentence below true? D 74 (3 ! 2. The following table shows the number of people living in a town over time. Year 1975 1985 1995 2005 Town Population Number of People 3,282 4,301 3,280 4,501 In what year did the least number of people live in the town? ) ! 4 " 3 ! (6 ! 4) 6. What is the missing number in the pattern below? 3, 6, 9, 12, 15, ,… 7. Lori bought a sweater for $47 and a pair of jeans for $39. If you were to round the amount that Lori spent for each item to the nearest ten dollars, which numbers would you use to add? A 1975 B 1985 C 1995 D 2005 8. Ruthie has 3 coins that are worth a total of $0.80. What 3 coins does she have? 2-9 © Pearson Education, Inc. 3 A 800,000 ! 4,000 ! 5,000 ! 200 ! 10 ! 2 B 800,000 ! 40,000 ! 500 ! 200 ! 10 ! 2 C 800,000 ! 40,000 ! 5,000 ! 200 ! 10 ! 2 D 800,000 ! 50,000 ! 4,000 ! 200 ! 10 ! 2 Topic 2 28421_064_087.indd 81 Daily Spiral Review 3. Which is the expanded form of 845,212? 81 1/16/08 4:47:40 PM Name Daily Spiral Review 2-9 Choose the best answer. 1. Tim had 48 DVDs last year. He has since bought 16 more DVDs. How many DVDs does Tim have now? 4. Find the sum. 326 ! 458 784 A 32 B 54 C 64 5. What number makes the sentence below true? D 74 (3 ! 2. The following table shows the number of people living in a town over time. Year 1975 1985 1995 2005 Town Population Number of People 3,282 4,301 3,280 4,501 In what year did the least number of people live in the town? A 1975 B 1985 C 1995 D 2005 ) ! 4 " 3 ! (6 ! 4) 6. What is the missing number in the pattern below? 3, 6, 9, 12, 15, 18 , … 7. Lori bought a sweater for $47 and a pair of jeans for $39. If you were to round the amount that Lori spent for each item to the nearest ten dollars, which numbers would you use to add? $50 ! $40 8. Ruthie has 3 coins that are worth a total of $0.80. What 3 coins does she have? © Pearson Education, Inc. 3 A 800,000 ! 4,000 ! 5,000 ! 200 ! 10 ! 2 B 800,000 ! 40,000 ! 500 ! 200 ! 10 ! 2 C 800,000 ! 40,000 ! 5,000 ! 200 ! 10 ! 2 D 800,000 ! 50,000 ! 4,000 ! 200 ! 10 ! 2 Topic 2 28421_064_087.indd 81 2-9 1 half dollar, 1 quarter, 1 nickel Daily Spiral Review 3. Which is the expanded form of 845,212? 6 81 3/14/08 1:02:43 PM 82 28421_064_087.indd 82 Problem of the Day 2-9 Topic 2 Problem of the Day 2-9 2-9 © Pearson Education, Inc. 3 Problem of the Day 1/16/08 4:47:41 PM The Statue of Liberty proudly stands in New York Harbor. This famous landmark is 151 feet tall from the tip of her torch to the bottoms of her feet. She stands on a base that is 154 feet tall. What is the total height of the Statue of Liberty, including the base? Name Adding Whole Numbers to Solve Problems: Adding Three or More Numbers Interactive Learning Recording Sheet 5 162 124 ! 246 Interactive Learning Recording Sheet 5 182 © Pearson Education, Inc. 3 ! Topic 2 28421_064_087.indd 83 83 1/16/08 4:47:43 PM Name Bernard Adding Whole Numbers to Solve Problems: Adding Three or More Numbers Interactive Learning Recording Sheet 5 1 162 124 ! 53 339 21 246 Interactive Learning Recording Sheet 5 182 © Pearson Education, Inc. 3 ! 84 512 Topic 2 28421_064_087.indd 83 83 3/14/08 1:02:46 PM Name Quick Check 2-9 1. Andy keeps track of fish sold at his pet store. The table shows the three most popular kinds of fish sold. Which number gives the correct total of the fish that were sold? A 469 Fish Sales Last Week Fish Guppies Mollies Tetras Number 256 39 184 B 479 C 569 D 830 2. Miss Reade runs the Stamp Club. Four students made albums. Larry has 123 stamps. Margo has 261 stamps. Peter has 87 stamps. Liza has 55 stamps. Which is the best estimate of how many stamps in all are in these students’ albums? A about 450 B about 530 USA USA 39¢ C about 600 D about 700 39¢ 3. Writing to Explain Remi added 357 ! 84 ! 6 like this: 357 84 6 ! 1,797 © Pearson Education, Inc. 3 Quick Check 2-9 Why is his answer wrong? Explain his mistake. Find the correct sum. 84 28421_064_087.indd 84 Topic 2 1/16/08 4:47:44 PM Name Quick Check 2-9 1. Andy keeps track of fish sold at his pet store. The table shows the three most popular kinds of fish sold. Which number gives the correct total of the fish that were sold? A 469 Fish Sales Last Week Fish Guppies Mollies Tetras Number 256 39 184 B 479 C 569 D 830 2. Miss Reade runs the Stamp Club. Four students made albums. Larry has 123 stamps. Margo has 261 stamps. Peter has 87 stamps. Liza has 55 stamps. Which is the best estimate of how many stamps in all are in these students’ albums? A about 450 B about 530 USA USA 39¢ C about 600 D about 700 39¢ 3. Writing to Explain Remi added 357 ! 84 ! 6 like this: 357 84 6 ! 1,797 Quick Check 2-9 Why is his answer wrong? Explain his mistake. Find the correct sum. © Pearson Education, Inc. 3 See students’ samples at the right. 84 28421_064_087.indd 84 Topic 2 3/14/08 1:02:47 PM Name Reteaching 2-9 Adding 3 or More Numbers Find 137 ! 201 ! 109. To add three numbers, you can add two numbers first. Then add the sum of the first two numbers and the third number. Step 1 Step 2 1 So, 137 ! 201 ! 109 " 447. Find each sum. 1. 32 64 ! 71 2. 127 39 ! 87 3. 293 312 ! 78 4. 358 427 ! 127 5. 382 ! 45 ! 181 " 6. 52 ! 238 ! 76 " © Pearson Education, Inc. 3 Reteaching 2-9 7. Number Sense Ranier has 37 baseball cards, 65 football cards, and 151 hockey cards. How many sports cards does he have in all? Explain how you found your answer. Topic 2 28421_064_087.indd 85 85 1/16/08 4:47:45 PM Name Reteaching 2-9 Adding 3 or More Numbers Find 137 ! 201 ! 109. To add three numbers, you can add two numbers first. Then add the sum of the first two numbers and the third number. Step 1 Step 2 1 So, 137 ! 201 ! 109 " 447. Find each sum. 1. 32 64 ! 71 2. 167 5. 382 ! 45 ! 181 " 6. 52 ! 238 ! 76 " 127 39 ! 87 253 608 366 3. 293 312 ! 78 683 4. 358 427 ! 127 912 Reteaching 2-9 7. Number Sense Ranier has 37 baseball cards, 65 football cards, and 151 hockey cards. How many sports cards does he have in all? Explain how you found your answer. © Pearson Education, Inc. 3 253; Possible explanation: I added 37 ! 65 " 102. Then I added 102 ! 151 " 253. Topic 2 28421_064_087.indd 85 85 3/14/08 1:02:49 PM Name Practice 2-9 Adding 3 or More Numbers Find each sum. 1. 75 36 ! 58 2. 6. 237 ! 75 ! 49 3. 142 297 ! 116 524 97 ! 176 4. 273 187 64 ! 249 7. 49 ! 7 ! 63 ! 8 5. 319 48 136 ! 347 8. 143 ! 47 ! 219 ! 136 9. Estimation Estimate the sum of 327 ! 419 ! 173. 10. Number Sense Justine has 162 red buttons, 98 blue buttons, and 284 green buttons. She says she knows she has more than 500 buttons without adding. Do you agree? Explain. Food Amount Calories Bran flakes 1 ounce 90 1 105 Orange juice 1 cup 110 Milk 1 cup 150 Banana 12. In winning the 1884 U.S. presidential election, Grover Cleveland received 219 electoral votes. He received 168 electoral votes in 1888, and lost. Then he received 277 electoral votes and won in 1892. How many electoral votes did Cleveland receive in all? 13. Kyle has 378 pennies, 192 nickels, and 117 dimes. How many coins does he have all together? A 495 86 28421_064_087.indd 86 B 570 C 677 D 687 © Pearson Education, Inc. 3 Practice 2-9 11. Carlos ate or drank everything that is listed in the table. How many calories did Carlos consume? Topic 2 1/16/08 4:47:47 PM Name Practice 2-9 Adding 3 or More Numbers Find each sum. 1. 75 36 ! 58 2. 169 6. 237 ! 75 ! 49 3. 142 297 ! 116 555 524 97 ! 176 4. 797 7. 49 ! 7 ! 63 ! 8 361 273 187 64 ! 249 5. 773 319 48 136 ! 347 850 8. 143 ! 47 ! 219 ! 136 127 545 9. Estimation Estimate the sum of 327 ! 419 ! 173. Possible estimates: 900 or 920 10. Number Sense Justine has 162 red buttons, 98 blue buttons, and 284 green buttons. She says she knows she has more than 500 buttons without adding. Do you agree? Explain. Yes, if you underestimate by adding only the hundreds and tens, you get 160 ! 90 ! 280 " 530. 11. Carlos ate or drank everything that is listed in the table. How many calories did Carlos consume? Amount Calories Bran flakes 1 ounce 90 1 105 Orange juice 1 cup 110 Milk 1 cup 150 Banana 12. In winning the 1884 U.S. presidential election, Grover Cleveland received 219 electoral votes. He received 168 electoral votes in 1888, and lost. Then he received 277 electoral votes and won in 1892. How many electoral votes did Cleveland receive in all? 664 13. Kyle has 378 pennies, 192 nickels, and 117 dimes. How many coins does he have all together? A 495 86 28421_064_087.indd 86 B 570 C 677 D 687 © Pearson Education, Inc. 3 Practice 2-9 455 Food Topic 2 3/14/08 1:02:51 PM Name Enrichment 2-9 Chairs for the Teachers Math teachers from many schools held a meeting at the Hotel Grand. In preparation, the planning committee placed chairs in the rooms according to the floor plan. Reasoning Floor Plan for Hotel Grand Grand Room Purple Ballroom 276 Meeting Rooms 127 Blue Room 31 100 125 Red Room Green Room Yellow Room 1. Which room could hold 100 teachers from Clinton School, 20 students from Rogers School, and 7 principals? 2. Which room was used for 77 third-grade teachers from Boone School, 2 student teachers, and 21 second-grade teachers from St. Paul School? Enrichment 2-9 © Pearson Education, Inc. 3 3. When all of the sixth-grade teachers met, 2 doors had to be opened between rooms so that 3 rooms could be connected. Which meeting room arrangement held the most teachers? 4. When all the meeting rooms were filled, only 3 rooms of people would fit into the chairs already in the Grand Room. Which 3 rooms of people fit? Topic 2 28421_064_087.indd 87 87 1/16/08 4:47:48 PM Name Enrichment 2-9 Chairs for the Teachers Math teachers from many schools held a meeting at the Hotel Grand. In preparation, the planning committee placed chairs in the rooms according to the floor plan. Reasoning Floor Plan for Hotel Grand Grand Room Purple Ballroom 276 Meeting Rooms 127 Blue Room 31 100 125 Red Room Green Room Yellow Room 1. Which room could hold 100 teachers from Clinton School, 20 students from Rogers School, and 7 principals? Blue Room 2. Which room was used for 77 third-grade teachers from Boone School, 2 student teachers, and 21 second-grade teachers from St. Paul School? Green Room Enrichment 2-9 3. When all of the sixth-grade teachers met, 2 doors had to be opened between rooms so that 3 rooms could be connected. Which meeting room arrangement held the most teachers? © Pearson Education, Inc. 3 Blue, Red, and Green rooms 4. When all the meeting rooms were filled, only 3 rooms of people would fit into the chairs already in the Grand Room. Which 3 rooms of people fit? Blue, Red, and Green rooms; or Red, Green, and Yellow rooms Topic 2 28421_064_087.indd 87 87 3/14/08 1:02:52 PM Name Daily Spiral Review 2-10 Choose the best answer. 1. Keri drew a line through the picture below. Which of the following two shapes did she form? 4. Louis found 4 coins on the ground. The total was $0.46. What coins did he find? A Triangle and circle B Triangle and square C Rectangle and triangle D Square and rectangle 5. The table shows the distances between U.S. cities. Distance Between Cities Cities 2. Which number below in standard form do these blocks show? A 4,020 B 4,002 Distance (in miles) Boston, MA to New York, NY 206 New York, NY to Washington, DC 233 Washington, DC to Pittsburgh, PA 221 Rounded to the nearest hundred miles, what is the distance from Boston to Washington, DC? C 420 3. On his first math quiz, Steven scored a 68. Steven’s next math quiz score was 24 points more than his first. What was Steven’s second math quiz score? A 92 B 84 C 82 D 44 88 28421_088_093.indd 88 6. How many poems did Batista write? Number of Poems Written Sue Batista Rick Each ! 2 poems © Pearson Education, Inc. 3 2-10 Daily Spiral Review D 42 Topic 2 1/16/08 4:46:41 PM Name Daily Spiral Review 2-10 Choose the best answer. 1. Keri drew a line through the picture below. Which of the following two shapes did she form? 4. Louis found 4 coins on the ground. The total was $0.46. What coins did he find? 1 quarter, 2 dimes, and 1 penny A Triangle and circle C Rectangle and triangle D Square and rectangle 5. The table shows the distances between U.S. cities. Distance Between Cities Cities 2. Which number below in standard form do these blocks show? A 4,020 B 4,002 C 420 2-10 Daily Spiral Review D 42 3. On his first math quiz, Steven scored a 68. Steven’s next math quiz score was 24 points more than his first. What was Steven’s second math quiz score? 206 New York, NY to Washington, DC 233 Washington, DC to Pittsburgh, PA 221 Rounded to the nearest hundred miles, what is the distance from Boston to Washington, DC? 400 miles 6. How many poems did Batista write? Number of Poems Written Sue Batista Rick Each B 84 6 poems D 44 28421_088_093.indd 88 Boston, MA to New York, NY A 92 C 82 88 Distance (in miles) ! 2 poems © Pearson Education, Inc. 3 B Triangle and square Topic 2 3/14/08 12:59:27 PM 28421_088_093.indd 89 © Pearson Education, Inc. 3 Problem of the Day 2-10 Topic 2 Area: 9,926 square miles Problem of the Day 2-10 1/16/08 4:46:42 PM 89 Problem of the Day Sicily is part of the country of Italy. Round the area of Sicily to the nearest ten and then to the nearest hundred. Sicily 2-10 Italy Name Quick Check 2-10 1. Mrs. Freedman ordered books for her class. She got 23 science books, 8 mysteries, and 31 biographies. Which is the best diagram to use to help you find the total number of books she bought? ? Books in all 23 A 8 ? Books in all B 23 31 ? Books in all C 23 8 31 31 Books in all D 23 8 ? 2. At a tree nursery, Dinah counted 12 maples, 28 willows, and 13 oaks. About how many trees did Dinah count? A 60 trees B 50 trees C 40 trees D 35 trees © Pearson Education, Inc. 3 Quick Check 2-10 3. Writing to Explain How does a diagram help you solve an addition story problem? Draw a diagram to help you find the exact answer to Exercise 3. Label each part of the diagram. Give the answer. 90 28421_088_093.indd 90 Topic 2 1/17/08 10:27:40 AM Name Quick Check 2-10 1. Mrs. Freedman ordered books for her class. She got 23 science books, 8 mysteries, and 31 biographies. Which is the best diagram to use to help you find the total number of books she bought? ? Books in all 23 A 8 ? Books in all B 23 31 ? Books in all C 23 8 31 31 Books in all D 23 8 ? 2. At a tree nursery, Dinah counted 12 maples, 28 willows, and 13 oaks. About how many trees did Dinah count? A 60 trees B 50 trees C 40 trees D 35 trees 3. Writing to Explain How does a diagram help you solve an addition story problem? Draw a diagram to help you find the exact answer to Exercise 3. Label each part of the diagram. Give the answer. © Pearson Education, Inc. 3 Quick Check 2-10 See students’ samples at the right. 90 28421_088_093.indd 90 Topic 2 3/14/08 12:59:30 PM Name Reteaching 2-10 Problem Solving: Draw a Picture Don sold 18 watermelons in the morning and 14 in the afternoon. How many watermelons did he sell in all? You can draw a rectangle to show addition. Each part of the rectangle represents one of the addends. Add the parts to show how many in all. 32 watermelons in all 18 14 Morning Afternoon Don sold 32 watermelons in all. 1. Two buses are carrying students to a field trip. There are 36 students on one bus and 30 students on the other. How many students are on the buses in all? 2. Estimation Vanessa bought a sweater for $27 and a skirt for $22. About how much money did Vanessa spend in all? in all students in all 36 30 Bus #1 Bus #2 3. A pet store sold 26 puppies and 14 kittens last month. How many animals were sold in all? $30 $20 Sweater Skirt 4. Ken has 15 rap CDs, 20 country CDs, and 30 rock CDs. How many CDs does Ken have in all? CDs in all animals in all 26 14 15 20 30 © Pearson Education, Inc. 3 Reteaching 2-10 Topic 2 28421_088_093.indd 91 91 1/16/08 4:46:46 PM Name Reteaching 2-10 Problem Solving: Draw a Picture Don sold 18 watermelons in the morning and 14 in the afternoon. How many watermelons did he sell in all? You can draw a rectangle to show addition. Each part of the rectangle represents one of the addends. Add the parts to show how many in all. 32 watermelons in all 18 14 Morning Afternoon Don sold 32 watermelons in all. 1. Two buses are carrying students to a field trip. There are 36 students on one bus and 30 students on the other. How many students are on the buses in all? 66 30 Bus #1 Bus #2 3. A pet store sold 26 puppies and 14 kittens last month. How many animals were sold in all? 26 $50 in all students in all 36 40 2. Estimation Vanessa bought a sweater for $27 and a skirt for $22. About how much money did Vanessa spend in all? $20 Sweater Skirt 4. Ken has 15 rap CDs, 20 country CDs, and 30 rock CDs. How many CDs does Ken have in all? 65 animals in all 14 $30 15 20 CDs in all 30 © Pearson Education, Inc. 3 Reteaching 2-10 Topic 2 28421_088_093.indd 91 91 3/14/08 12:59:31 PM Name Practice 2-10 Problem Solving: Draw a Picture 1. Kelly bought a CD for $15 and a book for $13. How much money did Kelly spend in all? in all $15 $13 Cost of CD Cost of book 3. Jane sold 25 raffle tickets Monday, 30 raffle tickets Tuesday, and 40 raffle tickets Wednesday. How many raffle tickets did Jane sell all together? tickets in all 25 30 2. Estimation There are 28 students in the chorus and 31 students in the band. All will be performing tonight. About how many students will be performing in all? students in all 30 30 Chorus Band 4. Dan cycled 12 miles Saturday and 18 miles Sunday. How many miles did he cycle all together? miles in all 12 18 40 The table shows the number of students who belong to clubs. Use the table for 5 through 7. 5. How many students belong to the Spanish and Science clubs? 6. About how many students belong to the Math and Spanish clubs? members in all 7. How many students belong to the Math, Running, and Science clubs? members in all © Pearson Education, Inc. 3 Practice 2-10 members in all Club Membership Club Members Math 24 Spanish 18 Running 15 Science 6 92 28421_088_093.indd 92 Topic 2 1/16/08 4:46:47 PM Name Practice 2-10 Problem Solving: Draw a Picture 1. Kelly bought a CD for $15 and a book for $13. How much money did Kelly spend in all? $28 in all $15 $13 Cost of CD Cost of book 3. Jane sold 25 raffle tickets Monday, 30 raffle tickets Tuesday, and 40 raffle tickets Wednesday. How many raffle tickets did Jane sell all together? 95 25 tickets in all 30 2. Estimation There are 28 students in the chorus and 31 students in the band. All will be performing tonight. About how many students will be performing in all? 60 students in all 30 30 Chorus Band 4. Dan cycled 12 miles Saturday and 18 miles Sunday. How many miles did he cycle all together? 30 miles in all 12 18 40 The table shows the number of students who belong to clubs. Use the table for 5 through 7. Practice 2-10 24 18 members in all 6 6. About how many students belong to the Math and Spanish clubs? 40 20 92 28421_088_093.indd 92 members in all 20 Club Membership Club Members Math 24 Spanish 18 Running 15 Science 6 7. How many students belong to the Math, Running, and Science clubs? 45 20 members in all 15 6 © Pearson Education, Inc. 3 5. How many students belong to the Spanish and Science clubs? Topic 2 3/14/08 12:59:33 PM Name Enrichment 2-10 The Itsy-Bitsy Spider The itsy-bitsy spider tried to climb up a 14-ft waterspout. Each day it climbed up the spout 6 ft. Each night it rained and almost washed the spider out. However, the clever spider used its legs to stop each night after falling only 3 ft. Find out how long it took the spider to get out of the waterspout. The spider’s position at the end of the first night has been drawn for you. Decision Making 1. Draw the spider’s position at the end of Night 2. 2. Draw the spider’s position at the end of Night 3. 3. Draw the spider’s position at the end of Night 4. 4. Draw the spider’s position at the end of Night 5. 5. Circle the picture of the spider on the day you think it got out of the waterspout. Waterspout (14 ft) 6 ft Day 2 Night 1 3 ft Night 2 14 13 12 11 10 9 8 7 6 5 4 3 2 1 9 ft 6 ft 12 ft Night 3 9 ft Day 3 14 13 12 11 10 9 8 7 6 5 4 3 2 1 or 14 13 12 11 10 9 8 7 6 5 4 3 2 1 15 ft(out) Day 518 ft Night 4 12 ft Night 5 15 ft(out) Day 4 © Pearson Education, Inc. 3 Day 1 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Enrichment 2-10 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Topic 2 28421_088_093.indd 93 93 1/16/08 4:46:48 PM Name Enrichment 2-10 The Itsy-Bitsy Spider The itsy-bitsy spider tried to climb up a 14-ft waterspout. Each day it climbed up the spout 6 ft. Each night it rained and almost washed the spider out. However, the clever spider used its legs to stop each night after falling only 3 ft. Find out how long it took the spider to get out of the waterspout. The spider’s position at the end of the first night has been drawn for you. Decision Making 1. Draw the spider’s position at the end of Night 2. 2. Draw the spider’s position at the end of Night 3. 3. Draw the spider’s position at the end of Night 4. 4. Draw the spider’s position at the end of Night 5. 5. Circle the picture of the spider on the day you think it got out of the waterspout. Waterspout (14 ft) 6 ft Night 1 3 ft 14 13 12 11 10 9 8 7 6 5 4 3 2 1 99 ft ft 6 ft ft Night 2 6 12 12 ft ft 9 ft ft Night 3 9 Day 2 Day 3 14 13 12 11 10 9 8 7 6 5 4 3 2 1 or or 14 13 12 11 10 9 8 7 6 5 4 3 2 1 18 ft ft 15 15 ft(out) ft(out) Day 518 15 ft(out) ft(out) 12 ft ft Night 515 Night 412 Day 4 © Pearson Education, Inc. 3 Day 1 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Enrichment 2-10 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Topic 2 28421_088_093.indd 93 93 3/14/08 12:59:34 PM Name Topic 2 Multiple-Choice Test Mark the best answer. 1. If Serena rounds her number of baseball cards to the nearest ten, she would have 280. How many cards could she have in her collection? (2-4) 4. A supermarket has 337 cans of soup and 478 packages of instant soup. How many containers of soup are there in all? (2-8) A 705 A 269 B 715 B 272 C 805 C 284 D 815 D 287 2. Which addition sentence is shown? (2-7) 5. Harry wants to add 47 ! 30 on a hundred chart. He starts at 47. What steps does he follow next? (2-2) 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 A 368 ! 143 B 386 ! 143 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 C 368 ! 134 61 62 63 64 65 66 67 68 69 70 D 17 ! 8 71 72 73 74 75 76 77 78 79 80 3. A store stocks 411 boxes of cold cereal and 162 boxes of hot cereal. Which number sentence shows the best way to estimate the total boxes of cereal using compatible numbers? (2-5) A Count to the right 3 squares. B Count to the left 3 squares. C Count down 3 rows. D Count back 3 rows. A 400 ! 100 " 500 B 400 ! 150 " 550 C 450 ! 150 " 600 © Pearson Education, Inc. 3 Topic 2 Multiple-Choice Test D 450 ! 200 " 650 94 28421_094_096.indd 94 Topic 2 1/16/08 4:50:02 PM Name Topic 2 Multiple-Choice Test Mark the best answer. 1. If Serena rounds her number of baseball cards to the nearest ten, she would have 280. How many cards could she have in her collection? (2-4) 4. A supermarket has 337 cans of soup and 478 packages of instant soup. How many containers of soup are there in all? (2-8) A 705 A 269 B 715 B 272 C 805 C 284 D 815 D 287 2. Which addition sentence is shown? (2-7) 5. Harry wants to add 47 ! 30 on a hundred chart. He starts at 47. What steps does he follow next? (2-2) 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 A 368 ! 143 B 386 ! 143 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 C 368 ! 134 61 62 63 64 65 66 67 68 69 70 D 17 ! 8 71 72 73 74 75 76 77 78 79 80 3. A store stocks 411 boxes of cold cereal and 162 boxes of hot cereal. Which number sentence shows the best way to estimate the total boxes of cereal using compatible numbers? (2-5) A Count to the right 3 squares. B Count to the left 3 squares. C Count down 3 rows. D Count back 3 rows. A 400 ! 100 " 500 B 400 ! 150 " 550 C 450 ! 150 " 600 © Pearson Education, Inc. 3 Topic 2 Multiple-Choice Test D 450 ! 200 " 650 94 28421_094_096.indd 94 Topic 2 3/14/08 1:00:56 PM Name Topic 2 Free-Response Test Answer the questions below. 1. A rodeo has 457 competitors. What is 457 rounded to the nearest ten? (2-4) 2. What property of addition is shown by the following diagram? (2-1) (••• ! ••••) ! ••••••••• " ••• ! (•••• ! •••••••••) 3. Becky drove 273 miles from San Antonio to Dallas, then she drove another 427 miles to Baton Rogue. Round those distances to the nearest ten to estimate how far Becky drove. (2-5) 4. A rancher has 478 cattle and 326 hogs on his ranch. How many animals does the rancher have in all? (2-8) 6. A yogurt stand sells 32 vanilla yogurts and 27 strawberry yogurts. How many yogurts are sold altogether? (2-6) 7. Sam jogs for 27 minutes on Monday. He jogs for 34 minutes on Tuesday. Use mental math to find how many minutes Sam jogs in all. (2-3) 8. Write the addition sentence that is shown by the blocks. (2-7) 9. Billy wants to add 35 ! 47. Show how Billy can add the two numbers by using a breakingapart strategy. (2-3) 5. Use the hundred chart to add 32 ! 45. (2-2) 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 Topic 2 28421_097_098.indd 97 97 Topic 2 Free-Response Test © Pearson Education, Inc. 3 41 42 43 44 45 46 47 48 49 50 1/16/08 4:48:08 PM Name Topic 2 Free-Response Test Answer the questions below. 1. A rodeo has 457 competitors. What is 457 rounded to the nearest ten? (2-4) 460 2. What property of addition is shown by the following diagram? (2-1) (••• ! ••••) ! ••••••••• " ••• ! (•••• ! •••••••••) Associative Property 3. Becky drove 273 miles from San Antonio to Dallas, then she drove another 427 miles to Baton Rogue. Round those distances to the nearest ten to estimate how far Becky drove. (2-5) 270 ! 430 " 700 4. A rancher has 478 cattle and 326 hogs on his ranch. How many animals does the rancher have in all? (2-8) 804 5. Use the hundred chart to add 32 ! 45. (2-2) 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 6. A yogurt stand sells 32 vanilla yogurts and 27 strawberry yogurts. How many yogurts are sold altogether? (2-6) 59 7. Sam jogs for 27 minutes on Monday. He jogs for 34 minutes on Tuesday. Use mental math to find how many minutes Sam jogs in all. (2-3) 61 8. Write the addition sentence that is shown by the blocks. (2-7) 283 ! 237 9. Billy wants to add 35 ! 47. Show how Billy can add the two numbers by using a breakingapart strategy. (2-3) 47 " 5 ! 42 35 ! 5 " 40 40 ! 42 " 82 So, 35 ! 47 " 82 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 77 Topic 2 28421_097_098.indd 97 97 Topic 2 Free-Response Test © Pearson Education, Inc. 3 41 42 43 44 45 46 47 48 49 50 3/14/08 1:01:33 PM Name Topic 2 Performance Assessment Your class is visiting a local park. The map below shows some of the paths in the park. The distances of the paths are measured in meters. Scenic View 378 m 79 m Lodge 74 m 467 m 106 m Lake 81 m 83 m 412 m Log Cabin 1. Choose two ways to walk from the log cabin to the lake and then to the scenic view. On a separate sheet of paper, draw place-value blocks to show the total distance for each way. Then write and solve a number sentence to find the total distance. 2. Choose a way to walk from the log cabin to the scenic view and then to the lodge. On a separate sheet of paper, draw place-value blocks to show the total distance. Then write and solve a number sentence to find the total distance. 4. Choose a way to walk from the lodge to the log cabin, to the scenic view, and back to the lodge. Estimate the distance. Then find the exact distance. Explain how you can use your estimate to check that your answer is reasonable. Topic 2 28421_099.indd 99 99 Topic 2 Performance Assessment © Pearson Education, Inc. 3 3. Write and solve a number sentence to show the shortest way from the lodge to the lake. Explain how you decided which paths to choose. 1/16/08 4:49:59 PM Name Topic 2 Performance Assessment Your class is visiting a local park. The map below shows some of the paths in the park. The distances of the paths are measured in meters. Scenic View 378 m 79 m Lodge 74 m 467 m 106 m Lake 81 m 83 m 412 m Log Cabin 1. Choose two ways to walk from the log cabin to the lake and then to the scenic view. On a separate sheet of paper, draw place-value blocks to show the total distance for each way. Then write and solve a number sentence to find the total distance. See below. 2. Choose a way to walk from the log cabin to the scenic view and then to the lodge. On a separate sheet of paper, draw place-value blocks to show the total distance. Then write and solve a number sentence to find the total distance. See below. 3. Write and solve a number sentence to show the shortest way from the lodge to the lake. Explain how you decided which paths to choose. 4. Choose a way to walk from the lodge to the log cabin, to the scenic view, and back to the lodge. Estimate the distance. Then find the exact distance. Explain how you can use your estimate to check that your answer is reasonable. Estimate: 410 ! 110 ! 380 " 900 meters. Exact distance: 412 ! 106 ! 378 " 896. Since my estimate and my answer are about the same, I know that my answer is reasonable. Topic 2 28421_099.indd 99 99 Topic 2 Performance Assessment © Pearson Education, Inc. 3 378 ! 74 " 452 m; The distance on the path from the lodge to the scenic view marked 378 meters is less than the distances of the other two paths leading from the lodge, so I used 378 as my first addend. The path from the scenic view that is marked 74 meters is shorter than the path marked 79 meters, so I used 74 for my second addend. 3/14/08 1:01:23 PM
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