Name 2. There are 25 students in Mrs. Henley’s class. Fourteen of the students are girls. How many of the students are boys? A 11 B 12 C 14 D 39 3. What is fifty-eight thousand written in standard form? A 580,000 B 58,000 C 5,800 D 580 2-1 5. Evan has a shell collection. On Monday, he found 6 new shells. On Tuesday, he gave 9 shells to his friends. After giving the shells away, Evan had 37 shells left. How many shells did Evan have to start with? Daily Spiral Review 2-1 1. Boyd has saved 19 quarters and 2 nickels. How much has he saved? A $4.40 B $4.85 C $4.95 D $5.10 Daily Spiral Review 6. Aretha reads 3 chapters of her book each day. How many days will it take Aretha to finish the book if it has 24 chapters? Write a number sentence to solve the problem. 7. Look at the pattern below. What are the next two numbers in the series? 12, 18, 24, 30, 36, , 8. What is the name of the polygon shown below? © Pearson Education, Inc. 4 4. Which number has a 6 in the ten thousands place? A 652,931 B 528,629 C 496,893 D 360,927 Topic 2 Nat_AncTopic_2.indb 25 25 1/29/08 2:11:38 PM Name 2. There are 25 students in Mrs. Henley’s class. Fourteen of the students are girls. How many of the students are boys? A 11 B 12 C 14 D 39 3. What is fifty-eight thousand written in standard form? A 580,000 B 58,000 C 5,800 D 580 5. Evan has a shell collection. On Monday, he found 6 new shells. On Tuesday, he gave 9 shells to his friends. After giving the shells away, Evan had 37 shells left. How many shells did Evan have to start with? 40 shells 6. Aretha reads 3 chapters of her book each day. How many days will it take Aretha to finish the book if it has 24 chapters? Write a number sentence to solve the problem. 8 days; 24 ! 3 " 8 7. Look at the pattern below. What are the next two numbers in the series? 12, 18, 24, 30, 36, , 42 48 8. What is the name of the polygon shown below? Pentagon © Pearson Education, Inc. 4 4. Which number has a 6 in the ten thousands place? A 652,931 B 528,629 C 496,893 D 360,927 2-1 Daily Spiral Review 2-1 1. Boyd has saved 19 quarters and 2 nickels. How much has he saved? A $4.40 B $4.85 C $4.95 D $5.10 Daily Spiral Review Topic 2 Nat_AncTopic_2.indb 25 25 1/29/08 2:00:46 PM 26 Nat_AncTopic_2.indb 26 Problem of the Day 2-1 Topic 2 Problem of the Day 2-1 Tell the operation needed to solve the problem. 2-1 1/29/08 2:11:38 PM © Pearson Education, Inc. 4 Problem of the Day Toby, Neal, and Quinn each gave canned food to the food drive. How many cans did they give altogether? Name Quick Check 2-1 2. 532 " 167 A 412 A 360 B 454 B 365 C 464 C 379 D 470 D 699 Quick Check 2-1 1. 438 ! 26 3. 78 ! 55 A 123 B 133 C 145 D 235 © Pearson Education, Inc. 4 4. Writing to Explain Kevin wants to buy a new stereo for $239. So far, he has saved $115. Explain how you can use mental math to find out how much more money Kevin needs to save. Topic 2 Nat_AncTopic_2.indb 27 27 1/29/08 2:11:39 PM Name Quick Check 2-1 2. 532 " 167 A 412 A 360 B 454 B 365 C 464 C 379 D 470 D 699 Quick Check 2-1 1. 438 ! 26 3. 78 ! 55 A 123 B 133 C 145 D 235 4. Writing to Explain Kevin wants to buy a new stereo for $239. So far, he has saved $115. Explain how you can use mental math to find out how much more money Kevin needs to save. © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 27 27 1/29/08 2:00:47 PM Name Reteaching 2-1 Using Mental Math to Add and Subtract There are different strategies for adding and subtracting with mental math. Reteaching 2-1 Addition Strategies Subtraction Strategies With breaking apart you can add numbers in any order. Using compensation 235 158 Break apart 158. 158 5 153 235 5 240 Add one part to make a ten. 240 153 393 Add the other part. 162 48 With compensation you can add or subtract to make tens. Using counting on 235 158 Add 2 to make a ten. 158 2 160 235 160 395 395 2 393 Subtract 2 from the answer because 2 was added earlier. 162 50 112 112 2 114 Add 2 to make 50. 2 48 50 Since you subtracted 2 too many, add 2 to the answer. 400 185 Add 5 to make 190. 185 5 190 190 10 200 Make the next 100. 200 200 400 Add 200 to make 400. 5 10 200 215 Find the total of what you added. Add or subtract. Use mental math. 1. 67 ! 31 " 2. 86 # 14 " 3. 29 ! 43 " 4. 206 # 78 " 5. Reasoning How can you write 72 ! (8 ! 19) to make it easier to add? Marble Collection 425 375 129 99 Use mental math to solve. 6. How many more blue marbles are there than yellow marbles? 7. What is the number of red and green marbles? 28 Nat_AncTopic_2.indb 28 © Pearson Education, Inc. 4 red blue green yellow Topic 2 1/29/08 2:11:40 PM Name Reteaching 2-1 Using Mental Math to Add and Subtract There are different strategies for adding and subtracting with mental math. Reteaching 2-1 Addition Strategies Subtraction Strategies With breaking apart you can add numbers in any order. Using compensation Break apart 158. 158 5 153 235 5 240 Add one part to make a ten. 240 153 393 Add the other part. 162 48 With compensation you can add or subtract to make tens. Using counting on 235 158 235 158 Add 2 to make a ten. 158 2 160 235 160 395 395 2 393 Subtract 2 from the answer because 2 was added earlier. 162 50 112 112 2 114 Since you subtracted 2 too many, add 2 to the answer. 400 185 Add 5 to make 190. 185 5 190 190 10 200 Make the next 100. 200 200 400 Add 200 to make 400. 5 10 200 215 Find the total of what you added. Add or subtract. Use mental math. 98 29 ! 43 " 72 Add 2 to make 50. 2 48 50 72 206 # 78 " 128 1. 67 ! 31 " 2. 86 # 14 " 3. 4. 5. Reasoning How can you write 72 ! (8 ! 19) to make it easier to add? (72 + 8) + 19 Marble Collection 425 375 129 99 Use mental math to solve. 6. How many more blue marbles are there than yellow marbles? 7. What is the number of red and green marbles? 28 Nat_AncTopic_2.indb 28 276 554 © Pearson Education, Inc. 4 red blue green yellow Topic 2 1/29/08 2:00:48 PM Name Practice 2-1 Using Mental Math to Add and Subtract Add or subtract. Use mental math. 2. 101 " 49 3. 400 ! 157 4. 722 ! 158 5. 120 " 33 6. 900 " 187 7. 299 ! 206 8. 878 ! 534 9. 554 " 59 Practice 2-1 1. 89 ! 46 10. Reasoning How can you write 52 ! (8 ! 25) to make it easier to add? 11. Selena’s family went on a trip. The total hotel bill was $659. The cost of the airfare was $633. Use mental math to find the total cost for the hotel and the airfare. 12. One year, 76 people helped at the town cleanup. The next year, 302 people helped. How many more people helped in the second year? Use mental math to find the answer. 13. Stanley wants to collect 900 sports cards. So far, he has collected 428 baseball cards and 217 football cards. How many more cards does Stanley need to complete his collection? A 255 B 472 C 645 D 683 © Pearson Education, Inc. 4 14. Writing to Explain Explain how you could add 678 ! 303 using mental math. Topic 2 Nat_AncTopic_2.indb 29 29 1/29/08 2:11:41 PM Name Practice 2-1 Using Mental Math to Add and Subtract Add or subtract. Use mental math. 1. 89 ! 46 2. 101 " 49 135 52 5. 120 " 33 880 7. 299 ! 206 557 6. 900 " 187 87 713 8. 878 ! 534 505 1,412 10. Reasoning How can you write 52 ! (8 ! 25) to make it easier to add? 9. 554 " 59 495 (52 ! 8) ! 25 11. Selena’s family went on a trip. The total hotel bill was $659. The cost of the airfare was $633. Use mental math to find the total cost for the hotel and the airfare. 12. One year, 76 people helped at the town cleanup. The next year, 302 people helped. How many more people helped in the second year? Use mental math to find the answer. 13. Stanley wants to collect 900 sports cards. So far, he has collected 428 baseball cards and 217 football cards. How many more cards does Stanley need to complete his collection? A 255 B 472 Practice 2-1 4. 722 ! 158 3. 400 ! 157 C 645 $1,292 226 people D 683 © Pearson Education, Inc. 4 14. Writing to Explain Explain how you could add 678 ! 303 using mental math. Sample answer: 678 ! 3 " 681 and 681 ! 300 " 981. Topic 2 Nat_AncTopic_2.indb 29 29 1/29/08 2:00:79 PM Name Enrichment 2-1 Mental Puzzles Using mental math to add helps you find tens and hundreds. Mental Math Enrichment 2-1 1. Look at each number in the puzzle board. Find two numbers in the box whose sum equals that number. Use each number only once. Do not use paper and pencil or a calculator. 119 225 511 259 173 28 486 374 375 227 164 314 389 136 72 241 81 326 Puzzle Board 100 200 300 400 500 600 700 800 900 © Pearson Education, Inc. 4 2. Explain what methods you used to help you solve the puzzle board. 30 Nat_AncTopic_2.indb 30 Topic 2 1/29/08 2:11:42 PM Name Enrichment 2-1 Mental Puzzles Using mental math to add helps you find tens and hundreds. Mental Math Enrichment 2-1 1. Look at each number in the puzzle board. Find two numbers in the box whose sum equals that number. Use each number only once. Do not use paper and pencil or a calculator. 119 225 511 259 173 28 486 374 375 227 164 314 389 136 72 241 81 326 Puzzle Board 100 200 300 72 28 119 81 164 136 400 500 600 227 173 700 326 374 241 259 375 225 800 900 486 314 511 389 2. Explain what methods you used to help you solve the puzzle board. © Pearson Education, Inc. 4 Check students’ methods: Sample answer: I looked for ones digits that equal 10 when added together. 30 Nat_AncTopic_2.indb 30 Topic 2 1/29/08 2:00:50 PM Name Daily Spiral Review 2-2 2. The fourth-grade class sold 73 tickets for Thursday’s basketball game. They sold 99 tickets for Saturday’s game. How many tickets did they sell in all? Use mental math to add. A 25 B 26 C 170 D 172 4. What is 21,883 rounded to the nearest hundred? 5. Destiny has 9 more stickers than Shane. Alisa has 7 fewer stickers than Destiny. If Shane has 20 stickers, how many stickers do Destiny and Alisa each have? Daily Spiral Review 2-2 1. What is forty-six million, seven hundred eighty thousand, two hundred sixteen written in standard form? A 46,708,216 B 46,780,216 C 406,078,216 D 406,780,216 6. Jake jumped 3 feet. Marco jumped 32 inches. Who jumped farther? Explain how you found your answer. 3. Which is NOT a way to say the time shown on the clock below? 11 12 1 10 2 9 3 8 4 7 6 5 Fifteen minutes to eight Seven forty-five Quarter past seven Quarter to eight 8. It takes Kiley 5 minutes to run around the track. How many minutes will it take her to run around the track 5 times? Write a number sentence to solve. © Pearson Education, Inc. 4 A B C D 7. Which number is missing from the number sentence below? 7! ! 16 " 31 Topic 2 Nat_AncTopic_2.indb 31 31 1/29/08 2:11:43 PM Name Daily Spiral Review 2-2 2. The fourth-grade class sold 73 tickets for Thursday’s basketball game. They sold 99 tickets for Saturday’s game. How many tickets did they sell in all? Use mental math to add. A 25 B 26 C 170 D 172 3. Which is NOT a way to say the time shown on the clock below? 11 12 1 10 2 9 3 8 4 7 6 5 © Pearson Education, Inc. 4 A B C D Fifteen minutes to eight Seven forty-five Quarter past seven Quarter to eight 4. What is 21,883 rounded to the nearest hundred? 21,900 5. Destiny has 9 more stickers than Shane. Alisa has 7 fewer stickers than Destiny. If Shane has 20 stickers, how many stickers do Destiny and Alisa each have? Destiny has 29; Alisa has 22 stickers. 6. Jake jumped 3 feet. Marco jumped 32 inches. Who jumped farther? Explain how you found your answer. Jake jumped farther. 1 ft = 12 inches, so 3 feet = 36 inches 7. Which number is missing from the number sentence below? 7! ! 16 " 31 8 8. It takes Kiley 5 minutes to run around the track. How many minutes will it take her to run around the track 5 times? Write a number sentence to solve. 5 ! 5 " 25 Topic 2 Nat_AncTopic_2.indb 31 Daily Spiral Review 2-2 1. What is forty-six million, seven hundred eighty thousand, two hundred sixteen written in standard form? A 46,708,216 B 46,780,216 C 406,078,216 D 406,780,216 31 1/29/08 2:00:51 PM 32 Nat_AncTopic_2.indb 32 Problem of the Day 2-2 Topic 2 Problem of the Day 2-2 2-2 1/29/08 2:11:44 PM © Pearson Education, Inc. 4 Problem of the Day Jayden wants to buy a baseball cap. He has 8 dollar bills and 15 dimes. Does he have enough money $9.45 to buy the cap? Name 1. The longest river in the world is the Nile River. It is 4,132 miles long. The longest river in the United States is the Missouri River. It is 2,540 miles long. Which is the best estimate of the difference in the lengths of the Nile and Missouri rivers? 2-2 2. Sue saved up $286. Then she received $75 for her birthday. About how much money does Sue have now? A $80 B $300 C $370 Quick Check 2-2 A 1,000 Quick Check D $500 B 1,600 C 2,000 D 6,600 © Pearson Education, Inc. 4 3. Writing to Explain Zoe said the best way to estimate 2,498 – 639 is to round each number to the nearest hundred. Sam said the best way to estimate is to round each number to the nearest thousand. Who is correct? Explain your answer. Topic 2 Nat_AncTopic_2.indb 33 33 1/29/08 2:11:45 PM Name 1. The longest river in the world is the Nile River. It is 4,132 miles long. The longest river in the United States is the Missouri River. It is 2,540 miles long. Which is the best estimate of the difference in the lengths of the Nile and Missouri rivers? 2-2 2. Sue saved up $286. Then she received $75 for her birthday. About how much money does Sue have now? A $80 B $300 C $370 Quick Check 2-2 A 1,000 Quick Check D $500 B 1,600 C 2,000 D 6,600 3. Writing to Explain Zoe said the best way to estimate 2,498 – 639 is to round each number to the nearest hundred. Sam said the best way to estimate is to round each number to the nearest thousand. Who is correct? Explain your answer. © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 33 33 1/29/08 2:00:54 PM Name Reteaching 2-2 Estimating Sums and Differences of Whole Numbers Reteaching 2-2 Rounding can be used to estimate sums and differences. To estimate 1,436 ! 422: To estimate 3,635 " 1,498: Rounding Rounding 1,436 rounds to 1,400 422 rounds to 400 1,400 ! 400 # 1,800 3,635 rounds to 3,600 1,498 rounds to 1,500 3,600 " 1,500 # 2,100 Estimate each sum or difference. 1. 5. 265 ! 426 ! 2,189 388 2. 348 ! 122 3. 562 " 223 4. 824 " 590 6. 1,329 ! 5,345 7. 877 " 475 8. 9,245 " 4,033 9. 788 ! 212 # 10. 9,769 " 4,879 # 11. 65,328 " 14,231 # 12. 32,910 ! 4,085 # 14. The fourth graders are helping raise money for the local animal shelter. They hoped to raise $1,000. So far they have made $465 in bake sales and $710 in T-shirt sales. About how much more than $1,000 have they raised? 34 Nat_AncTopic_2.indb 34 © Pearson Education, Inc. 4 13 . Number Sense Is 976 " 522 more or less than 400? Explain how you can tell without actually subtracting. Topic 2 1/29/08 2:11:46 PM Name Reteaching 2-2 Estimating Sums and Differences of Whole Numbers Reteaching 2-2 Rounding can be used to estimate sums and differences. To estimate 1,436 ! 422: To estimate 3,635 " 1,498: Rounding Rounding 1,436 rounds to 1,400 422 rounds to 400 1,400 ! 400 # 1,800 Estimate each sum or difference. 1. 265 ! 426 2. 700 5. ! 2,189 388 2,600 9. 10. 11. 12. 3,635 rounds to 3,600 1,498 rounds to 1,500 3,600 " 1,500 # 2,100 Sample answers are given. 348 ! 122 3. 1,329 ! 5,345 7. 470 6. 562 " 223 4. 877 " 475 8. 824 " 590 400 6,600 788 ! 212 # 1,000 9,769 " 4,879 # 4,900 65,328 " 14,231 # 51,000 32,910 ! 4,085 # 37,000 200 400 9,245 " 4,033 5,200 13 . Number Sense Is 976 " 522 more or less than 400? Explain how you can tell without actually subtracting. 14. The fourth graders are helping raise money for the local animal shelter. They hoped to raise $1,000. So far they have made $465 in bake sales and $710 in T-shirt sales. About how much more than $1,000 have they raised? $ 200 34 Nat_AncTopic_2.indb 34 © Pearson Education, Inc. 4 More; 1,000 ! 500 " 500 Topic 2 1/29/08 2:00:55 PM Name Practice 2-2 Estimating Sums and Differences of Whole Numbers Estimate each sum or difference. 627 829 1. " 95 2. ! 292 987 3. ! 233 5. 4,263 ! 1,613 1,568 352 6. 7,502 " 2,187 8. 64,099 ! 55,555 10. About how much larger is the largest ocean than the smallest ocean? Practice 2-2 7. 24,141 ! 2,177 4. " 9. 83,595 " 18,999 Ocean Area Ocean Area (million sq km) Arctic Ocean Atlantic Ocean Indian Ocean Pacific Ocean 14,056 76,762 68,556 155,557 11. About how many million square kilometers do all the oceans together cover? 12. Mallory is a pilot. Last week she flew the following round trips in miles: 2,020; 1,358; 952; 2,258; and 1,888. Which of the following is a good estimate of the miles Mallory flew last week? A 6,000 mi B 6,800 mi C 7,000 mi D 8,000 mi © Pearson Education, Inc. 4 13. Writing to Explain Explain how you would estimate to subtract 189 from 643. Topic 2 Nat_AncTopic_2.indb 35 35 1/29/08 2:11:47 PM Name Practice 2-2 Estimating Sums and Differences of Whole Numbers Estimate each sum or difference. Sample answers are given. 627 95 829 2. ! 292 700 500 2,700 1. " 5. 4,263 ! 1,613 800 6. 7,502 " 2,187 8. 64,099 ! 55,555 22,000 4. " Sample answer: About 142,000 million sq km 2,000 10,000 9. 83,595 " 18,999 8,000 10. About how much larger is the largest ocean than the smallest ocean? 1,568 352 Practice 2-2 7. 24,141 ! 2,177 987 3. ! 233 103,000 Ocean Area Ocean Area (million sq km) Arctic Ocean Atlantic Ocean Indian Ocean Pacific Ocean 14,056 76,762 68,556 155,557 11. About how many million square kilometers do all the oceans together cover? Sample answer: About 316,000 million sq km 12. Mallory is a pilot. Last week she flew the following round trips in miles: 2,020; 1,358; 952; 2,258; and 1,888. Which of the following is a good estimate of the miles Mallory flew last week? A 6,000 mi B 6,800 mi C 7,000 mi D 8,000 mi © Pearson Education, Inc. 4 13. Writing to Explain Explain how you would estimate to subtract 189 from 643. Sample answer: Estimate by rounding each number to the nearest hundred; 600 ! 200 " 400. Topic 2 Nat_AncTopic_2.indb 35 35 1/29/08 2:00:56 PM Name Enrichment 2-2 Canyon Trip Enrichment 2-2 You are going on a three-day camping trip in the Grand Canyon. The chart shows the weights of some equipment you may need. Each person must take at least 2 water canteens and 3 food tins on the trip. 1. You are going to hike alone and carry a backpack. The backpack can hold up to 25 lb. What equipment will you take on the trip? Decision Making Equipment Water canteen Food tin Compass Shovel Binoculars Tent Chair Pillow Extra clothes Cooking pots/pans Sleeping cushion Weight (lb) 1 2 1 5 3 8 10 2 7 30 4 2. You are hiking with 2 friends. Each will carry 1 backpack. The 3 of you can carry up to 75 lb. You will only need 1 tent. What equipment will you take on the trip? © Pearson Education, Inc. 4 3. You and 4 friends are taking a donkey on the trip. The donkey can carry 180 lb. You will not take backpacks. You will need 2 tents. What equipment will you take on the trip? 36 Nat_AncTopic_2.indb 36 Topic 2 1/29/08 2:11:48 PM Name Enrichment 2-2 Canyon Trip Enrichment 2-2 You are going on a three-day camping trip in the Grand Canyon. The chart shows the weights of some equipment you may need. Each person must take at least 2 water canteens and 3 food tins on the trip. 1. You are going to hike alone and carry a backpack. The backpack can hold up to 25 lb. What equipment will you take on the trip? 2 canteens, 3 food tins, compass, tent, extra clothes; Total must be ! 25 lb. Decision Making Equipment Weight (lb) Water canteen Food tin Compass Shovel Binoculars Tent Chair Pillow Extra clothes Cooking pots/pans Sleeping cushion 1 2 1 2. You are hiking with 2 friends. Each will carry 1 backpack. The 3 of you can carry up to 75 lb. You will only need 1 tent. What equipment will you take on the trip? 5 3 8 10 2 7 30 4 Sample answers for 1–3. 6 canteens, 9 food tins, compass, tent, 3 extra clothes, chair, shovel, pillow, sleeping cushion; Total must be ! 75 lb. Sample answer: 10 canteens, 15 food tins, 2 tents, compass, 5 extra clothes, pots and pans, 5 chairs, and binoculars; Total must be ! 180 lb. 36 Nat_AncTopic_2.indb 36 © Pearson Education, Inc. 4 3. You and 4 friends are taking a donkey on the trip. The donkey can carry 180 lb. You will not take backpacks. You will need 2 tents. What equipment will you take on the trip? Topic 2 1/29/08 2:00:57 PM Name Daily Spiral Review 2-3 1. Harriet brought 86 cookies to the school bake sale. She sold 45 cookies. How many cookies did Harriet have left? Use mental math to subtract. A 51 B 41 C 31 D 11 3. Rocco started to practice karate at 3:00 P.M. He finished at the time shown on the clock below. How long did he practice karate? 5. Luis has eight tickets for the school spree day. He needs three for the dunk tank, four for the moon walk, and two for the coin toss. Does Luis have enough tickets for all three events? Explain why or why not. Daily Spiral Review 2-3 2. Shauna bought a book for $7 and a calculator for $21. About how much did she spend for both items? A $50 B $30 C $20 D $10 4. Maria’s school has 248 students enrolled. How many is that rounded to the nearest ten? 6. Roberto eats two muffins every day. How many muffins does he eat in a week (7 days)? P.M. 11 12 1 10 2 9 3 8 4 7 6 5 1 hour 1 hour 45 minutes 15 minutes 45 minutes © Pearson Education, Inc. 4 A B C D Topic 2 Nat_AncTopic_2.indb 37 37 1/29/08 2:11:48 PM Name Daily Spiral Review 2-3 1. Harriet brought 86 cookies to the school bake sale. She sold 45 cookies. How many cookies did Harriet have left? Use mental math to subtract. A 51 B 41 C 31 D 11 3. Rocco started to practice karate at 3:00 P.M. He finished at the time shown on the clock below. How long did he practice karate? 250 5. Luis has eight tickets for the school spree day. He needs three for the dunk tank, four for the moon walk, and two for the coin toss. Does Luis have enough tickets for all three events? Explain why or why not. No, he needs nine but only has eight. Daily Spiral Review 2-3 2. Shauna bought a book for $7 and a calculator for $21. About how much did she spend for both items? A $50 B $30 C $20 D $10 4. Maria’s school has 248 students enrolled. How many is that rounded to the nearest ten? 6. Roberto eats two muffins every day. How many muffins does he eat in a week (7 days)? 14 muffins P.M. 11 12 1 10 2 9 3 8 4 7 6 5 1 hour 1 hour 45 minutes 15 minutes 45 minutes © Pearson Education, Inc. 4 A B C D Topic 2 Nat_AncTopic_2.indb 37 37 1/29/08 2:00:57 PM 38 Nat_AncTopic_2.indb 38 Problem of the Day 2-3 Topic 2 Problem of the Day 2-3 2-3 1/29/08 2:11:49 PM © Pearson Education, Inc. 4 Problem of the Day What information is needed to solve the problem? In a football game, the winning team passed for 47 more yards than the losing team. How many yards did the winning team pass for? Name 1. Mark has 11 yellow or red fish and a frog. There are 4 red fish. How many fish are yellow? Quick Check 2-3 2. Josie has 13 red or blue fish. How many are blue? A 6 A 4 B 7 B 5 C 19 C 7 D Not enough information D Not enough information A 2 miles B 3 miles C 6 miles D Not enough information 4. The department store has a total of 48 straight-leg jeans and bell-bottom jeans on sale for $24.99 each pair. They have equal numbers of the two types. How many pairs of straight-leg jeans do they have? Quick Check 2-3 3. Max drove 5 miles from his home to the mall, with a stop first at the gas station. The gas station is 2 miles from the mall. How far is it from his house to the gas station? A 2 B 24 C 48 D Not enough information © Pearson Education, Inc. 4 5. Writing to Explain Lucy danced for an hour, practicing ballet, jazz, and tap. She practiced twice as long on jazz as on tap. She practiced ballet as many minutes as tap. Explain whether you have enough information to find the number of minutes she practiced tap. If so, write a number sentence. Topic 2 Nat_AncTopic_2.indb 39 39 1/29/08 2:11:50 PM Name 1. Mark has 11 yellow or red fish and a frog. There are 4 red fish. How many fish are yellow? Quick Check 2-3 2. Josie has 13 red or blue fish. How many are blue? A 6 A 4 B 7 B 5 C 19 C 7 D Not enough information D Not enough information A 2 miles B 3 miles C 6 miles D Not enough information 4. The department store has a total of 48 straight-leg jeans and bell-bottom jeans on sale for $24.99 each pair. They have equal numbers of the two types. How many pairs of straight-leg jeans do they have? Quick Check 2-3 3. Max drove 5 miles from his home to the mall, with a stop first at the gas station. The gas station is 2 miles from the mall. How far is it from his house to the gas station? A 2 B 24 C 48 D Not enough information 5. Writing to Explain Lucy danced for an hour, practicing ballet, jazz, and tap. She practiced twice as long on jazz as on tap. She practiced ballet as many minutes as tap. Explain whether you have enough information to find the number of minutes she practiced tap. If so, write a number sentence. © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 39 39 1/29/08 2:00:59 PM Name Reteaching Problem Solving: Missing or Extra Information 2-3 Some problems contain too much or too little information. If a problem has missing information, you cannot solve it. If a problem has extra information, you need to figure out what information is needed to solve the problem. Step 2: Plan and Solve Mark has $40. Nora has $45. How much money will Mark have left if he buys a CD for $15? To solve this problem, you need to find out how much money Mark will have left over after he buys a CD. Decide which information you need to solve the problem and what is extra information. Reteaching 2-3 Step 1: Read and Understand You need to know how much money Mark has and how much the CD costs. You do not need to know how much money Nora has. Then, subtract the amount of money Mark spent on the CD from the amount of money he had. 40 ! 15 " 25 Mark has $25 left. Larissa volunteers at a wildlife group. One of her jobs is to photocopy a flyer and give copies to her friends and neighbors. Last month Larissa made 45 copies. There were 15 in color and 30 in black and white. This month Larissa made 75 copies. 1. Do you have enough information to find out how many copies Larissa made in the last 2 months? Explain. In order to raise money for the National Pet Association, Karl plans to sell bags of pet treats. He will fill 100 bags of treats. He made bags of treats for cats and bags of treats for dogs. How many dog treats did Karl use? 3. Do you have enough information to find out how many bags of dog treats Karl made? 40 Nat_AncTopic_2.indb 40 © Pearson Education, Inc. 4 2. What information did you not use to solve this problem? Topic 2 1/29/08 2:11:50 PM Name Reteaching Problem Solving: Missing or Extra Information 2-3 Some problems contain too much or too little information. If a problem has missing information, you cannot solve it. If a problem has extra information, you need to figure out what information is needed to solve the problem. Step 2: Plan and Solve Mark has $40. Nora has $45. How much money will Mark have left if he buys a CD for $15? To solve this problem, you need to find out how much money Mark will have left over after he buys a CD. Decide which information you need to solve the problem and what is extra information. Reteaching 2-3 Step 1: Read and Understand You need to know how much money Mark has and how much the CD costs. You do not need to know how much money Nora has. Then, subtract the amount of money Mark spent on the CD from the amount of money he had. 40 ! 15 " 25 Mark has $25 left. Larissa volunteers at a wildlife group. One of her jobs is to photocopy a flyer and give copies to her friends and neighbors. Last month Larissa made 45 copies. There were 15 in color and 30 in black and white. This month Larissa made 75 copies. 1. Do you have enough information to find out how many copies Larissa made in the last 2 months? Explain. Yes, Larissa made 45 copies last month and 75 copies this month. In order to raise money for the National Pet Association, Karl plans to sell bags of pet treats. He will fill 100 bags of treats. He made bags of treats for cats and bags of treats for dogs. How many dog treats did Karl use? 2. What information did you not use to solve this problem? 3. Do you have enough information to find out how many bags of dog treats Karl made? No, you need to know the number of bags of cat treats. 40 Nat_AncTopic_2.indb 40 © Pearson Education, Inc. 4 The number of colored and black and white copies. Topic 2 1/29/08 2:01:00 PM Name Practice Problem Solving: Missing or Extra Information 2-3 For 1 through 3, decide if each problem has extra information or not enough information. Tell any information that is not needed or that is missing. Solve if you have enough information. 1. Kendall pitches for his school’s baseball team. Every game Kendall pitches, he averages 5 strikeouts per game. Each game is about 2 hours. If Kendall pitches in 7 games during the season, how many strikeouts will he have? Practice 2-3 2. Geometry Yolanda is putting up a fence for her dog in the shape of a square. Each foot of fencing costs $7. If Yolanda is planning to have each side of the fence be 10 feet long, how many feet of fencing will Yolanda need? 3. Gretchen sings and plays guitar in a band after school. If Gretchen sings half of the songs the band knows, how many songs does the band know? 4. What do you need to know if you’re trying to find the year George Washington was born and you know he died in 1799? A The current year C How old he was when he died B The exact date he died D There is enough information. © Pearson Education, Inc. 4 5. Writing to Explain If you wanted to write a word problem about how much money the fourth-grade class collected at their bake sale, what information would you need to include? Topic 2 Nat_AncTopic_2.indb 41 41 1/29/08 2:11:51 PM Name Practice Problem Solving: Missing or Extra Information 2-3 For 1 through 3, decide if each problem has extra information or not enough information. Tell any information that is not needed or that is missing. Solve if you have enough information. 1. Kendall pitches for his school’s baseball team. Every game Kendall pitches, he averages 5 strikeouts per game. Each game is about 2 hours. If Kendall pitches in 7 games during the season, how many strikeouts will he have? Practice 2-3 Extra information. Each game is 2 hours long. About 35 strikeouts. 2. Geometry Yolanda is putting up a fence for her dog in the shape of a square. Each foot of fencing costs $7. If Yolanda is planning to have each side of the fence be 10 feet long, how many feet of fencing will Yolanda need? Extra information. Each foot of fencing costs $7. She will need 40 ft of fencing. 3. Gretchen sings and plays guitar in a band after school. If Gretchen sings half of the songs the band knows, how many songs does the band know? Not enough information. I need to know how many songs Gretchen sings. 4. What do you need to know if you’re trying to find the year George Washington was born and you know he died in 1799? A The current year C How old he was when he died B The exact date he died D There is enough information. © Pearson Education, Inc. 4 5. Writing to Explain If you wanted to write a word problem about how much money the fourth-grade class collected at their bake sale, what information would you need to include? How many items they sold and how much each item cost. Topic 2 Nat_AncTopic_2.indb 41 41 1/29/08 2:01:01 PM Name Enrichment 2-3 Birdhouses Cecilia owns a store that specializes in selling decorated birdhouses. The table at the right shows the number of birdhouses Cecilia sold each month. Write an expression to represent the following situations. 1. How many birdhouses did Cecilia sell in May and June together? Enrichment 2-3 2. How many more birdhouses did Cecilia sell in October than in September? 3. What is the total number of birdhouses Cecilia sold from February through May? 4. If Cecilia sold 152 birdhouses in May, how many birdhouses did she sell in January and May combined? Algebra Birdhouses Sold January 417 February 379 March 341 April 262 May m June 89 July 76 August 94 September s October 296 November 439 December 611 5. If Cecilia sold 257 birdhouses in September, how many more birdhouses did she sell in September than in August? © Pearson Education, Inc. 4 6. The company that makes the birdhouses is now charging $4 more for each birdhouse. If Cecilia used to pay b for each birdhouse, how much will she need to pay now? 42 Nat_AncTopic_2.indb 42 Topic 2 1/29/08 2:11:52 PM Name Enrichment 2-3 Birdhouses Cecilia owns a store that specializes in selling decorated birdhouses. The table at the right shows the number of birdhouses Cecilia sold each month. Write an expression to represent the following situations. 1. How many birdhouses did Cecilia sell in May and June together? m ! 89 Enrichment 2-3 2. How many more birdhouses did Cecilia sell in October than in September? 296 " s 3. What is the total number of birdhouses Cecilia sold from February through May? 379 ! 341 ! 262 ! m 4. If Cecilia sold 152 birdhouses in May, how many birdhouses did she sell in January and May combined? Algebra Birdhouses Sold January 417 February 379 March 341 April 262 May m June 89 July 76 August 94 September s October 296 November 439 December 611 417 ! 152 5. If Cecilia sold 257 birdhouses in September, how many more birdhouses did she sell in September than in August? 257 " 94 6. The company that makes the birdhouses is now charging $4 more for each birdhouse. If Cecilia used to pay b for each birdhouse, how much will she need to pay now? © Pearson Education, Inc. 4 b ! $4 42 Nat_AncTopic_2.indb 42 Topic 2 1/29/08 2:01:01 PM Name 1. On Friday, Dave read 27 pages of his new book. On Saturday, he read 62 pages. How many pages did Dave read in two days? Use mental math to add. A 99 B 97 C 89 D 79 Use the table below for 4 through 7. The students at Martha’s school were surveyed about their favorite animal they saw at the zoo. Animals Lion Tiger Monkey Bear Votes 216 378 192 139 4. Rounded to the nearest ten, how many students voted for the bear? 5. About how many students voted for the lion and the tiger altogether? 6. How many more students voted for the monkey than for the bear? 7. Write a number sentence to show about how many students voted in all. © Pearson Education, Inc. 4 3. A newspaper sold 13,441,902 copies last week. The editor wants to round that number to the nearest hundred thousand for a report. Which number will he use in the report? A 13,000,000 B 13,400,000 C 13,441,900 D 13,500,000 2-4 Daily Spiral Review 2-4 2. Marco bought a pair of pants for $36 and a hat for $12. About how much did Marco spend? A $50 B $46 C $40 D $30 Daily Spiral Review Topic 2 Nat_AncTopic_2.indb 43 43 1/29/08 2:11:52 PM Name 1. On Friday, Dave read 27 pages of his new book. On Saturday, he read 62 pages. How many pages did Dave read in two days? Use mental math to add. A 99 B 97 C 89 D 79 Use the table below for 4 through 7. The students at Martha’s school were surveyed about their favorite animal they saw at the zoo. Animals Lion Tiger Monkey Bear Votes 216 378 192 139 4. Rounded to the nearest ten, how many students voted for the bear? 140 5. About how many students voted for the lion and the tiger altogether? 600 6. How many more students voted for the monkey than for the bear? 53 7. Write a number sentence to show about how many students voted in all. 200 + 400 + 200 + 100 © Pearson Education, Inc. 4 3. A newspaper sold 13,441,902 copies last week. The editor wants to round that number to the nearest hundred thousand for a report. Which number will he use in the report? A 13,000,000 B 13,400,000 C 13,441,900 D 13,500,000 2-4 Daily Spiral Review 2-4 2. Marco bought a pair of pants for $36 and a hat for $12. About how much did Marco spend? A $50 B $46 C $40 D $30 Daily Spiral Review Topic 2 Nat_AncTopic_2.indb 43 43 1/29/08 2:01:02 PM 44 Nat_AncTopic_2.indb 44 Problem of the Day 2-4 Topic 2 Problem of the Day 2-4 1/29/08 2:11:53 PM © Pearson Education, Inc. 4 Problem of the Day A community garden produced 106 tomatoes the first week, 238 tomatoes the next week, and 354 tomatoes the third week. Estimate the number of tomatoes that were produced altogether during the three weeks. 2-4 Name Quick Check 2-4 1. Juliana read 86 pages of her book last week. She read 58 pages of her book this week. How many pages of her book did she read in both weeks? 2. The third, fourth, and fifth grades collected aluminum cans for the recycling drive as shown in the table below. How many cans did they collect altogether? A 171 B 144 Grade Third Fourth Fifth C 32 D 28 Number of Cans Collected 1,488 1,872 2,087 A 3,360 Quick Check 2-4 B 4,237 C 5,407 D 5,447 3. Writing to Explain Michael added the numbers 3,428 ! 5,125. His work is shown below. His answer is not correct. Explain what he did wrong. Then, correctly answer the problem. 3 © Pearson Education, Inc. 4 3,428 ! 5,125 8,571 Topic 2 Nat_AncTopic_2.indb 45 45 1/29/08 2:11:54 PM Name Quick Check 2-4 1. Juliana read 86 pages of her book last week. She read 58 pages of her book this week. How many pages of her book did she read in both weeks? 2. The third, fourth, and fifth grades collected aluminum cans for the recycling drive as shown in the table below. How many cans did they collect altogether? A 171 B 144 Grade Third Fourth Fifth C 32 D 28 Number of Cans Collected 1,488 1,872 2,087 A 3,360 Quick Check 2-4 B 4,237 C 5,407 D 5,447 3. Writing to Explain Michael added the numbers 3,428 ! 5,125. His work is shown below. His answer is not correct. Explain what he did wrong. Then, correctly answer the problem. 3 3,428 ! 5,125 8,571 © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 45 45 1/29/08 2:01:04 PM Name Reteaching 2-4 Adding Whole Numbers You can add more than two numbers when you line up the numbers by place value and add one place at a time. Add 3,456 ! 139 ! 5,547. Estimate: 3,000 ! 100 ! 6,000 " 9,100 Step 1 Line up numbers by place value. Add the ones. Step 2 Add the tens. Regroup if needed. Step 3 Add the hundreds, then the thousands. Continue to regroup. Regroup if needed. 2 Reteaching 2-4 3,456 139 5,547 22 becomes 2 tens and 2 ones. 1 2 1 12 3,456 139 5,547 3,456 139 5,547 42 9,142 2 Keep digits in neat columns as you add. 9,142 is close to the estimate of 9,100. Add. 1. 945 124 ! 343 2. 4. 2,955 9,017 ! 248 5. 2,588 373 ! 866 ! 16,699 3,311 32,484 3. 6. 12,566 8,222 ! 5,532 3,881 1,735 ! 364 © Pearson Education, Inc. 4 7. Number Sense Jill added 450 ! 790 ! 123 and got 1,163. Is this sum reasonable? 46 Nat_AncTopic_2.indb 46 Topic 2 1/29/08 2:11:54 PM Name Reteaching 2-4 Adding Whole Numbers You can add more than two numbers when you line up the numbers by place value and add one place at a time. Add 3,456 ! 139 ! 5,547. Estimate: 3,000 ! 100 ! 6,000 " 9,100 Step 1 Line up numbers by place value. Add the ones. Step 2 Add the tens. Regroup if needed. Step 3 Add the hundreds, then the thousands. Continue to regroup. Regroup if needed. 2 Reteaching 2-4 3,456 139 5,547 22 becomes 2 tens and 2 ones. 1 2 1 12 3,456 139 5,547 3,456 139 5,547 42 9,142 2 Keep digits in neat columns as you add. 9,142 is close to the estimate of 9,100. Add. 1. 945 124 ! 343 2. 2,588 373 ! 866 3. 12,566 8,222 ! 5,532 1,412 3,827 26,320 4. 5. 6. 2,955 9,017 ! 248 12,220 ! 16,699 3,311 32,484 52,494 3,881 1,735 ! 364 5,980 No, the sum should be closer to 1,400. 46 Nat_AncTopic_,.indb 46 © Pearson Education, Inc. 4 7. Number Sense Jill added 450 ! 790 ! 123 and got 1,163. Is this sum reasonable? Topic 2 1/,5/08 ,:01:04 9M Name Practice 2-4 Adding Whole Numbers Add. 1. 5. 486 875 ! 45 54,236 223 ! 7,856 2. 4,334 4,948 ! 890 3. 6. 80 960 4 ! 1,986 7. 938 1,487 ! 8,947 27,987 2,096 15,098 ! 7,945 4. 7,226 1,587 ! 72,984 8. 8,738 5,234 836 ! 237 10. What is the combined length of the three longest glaciers? 11. What is the total combined length of the four longest glaciers in the world? Practice 2-4 9. Number Sense Luke added 429 ! 699 ! 314 and got 950. Is this sum reasonable? World’s Longest Glaciers Glacier Length (miles) Lambert-Fisher Ice Passage Novaya Zemlya Arctic Institute Ice Passage 320 260 225 Nimrod-Lennox-King 180 12. Which is the sum of 3,774 ! 8,276 ! 102? © Pearson Education, Inc. 4 A 1,251 B 12,152 C 13,052 D 102,152 13. Writing to Explain Leona added 6,641 ! 1,482 ! 9,879. Should her answer be more than or less than 15,000? Topic 2 Nat_AncTopic_2.indb 47 47 1/29/08 2:11:55 PM Name Practice 2-4 Adding Whole Numbers Add. 1. 486 875 ! 45 2. 1,406 5. 54,236 223 ! 7,856 62,315 4,334 4,948 ! 890 10,172 6. 80 960 4 ! 1,986 3. 4. 938 1,487 ! 8,947 11,372 7. 81,797 8. 27,987 2,096 15,098 ! 7,945 3,030 7,226 1,587 ! 72,984 53,126 8,738 5,234 836 ! 237 15,045 No, his answer should be closer to 1,400. 10. What is the combined length of the three longest glaciers? 805 mi 11. What is the total combined length of the four longest glaciers in the world? Practice 2-4 9. Number Sense Luke added 429 ! 699 ! 314 and got 950. Is this sum reasonable? World’s Longest Glaciers Glacier Length (miles) Lambert-Fisher Ice Passage Novaya Zemlya Arctic Institute Ice Passage Nimrod-Lennox-King 320 260 225 180 985 mi 12. Which is the sum of 3,774 ! 8,276 ! 102? © Pearson Education, Inc. 4 A 1,251 B 12,152 C 13,052 D 102,152 13. Writing to Explain Leona added 6,641 ! 1,482 ! 9,879. Should her answer be more than or less than 15,000? Leona’s answer should be more than 15,000. Topic 2 Nat_AncTopic_2.indb 47 47 1/29/08 2:01:05 PM Name Enrichment 2-4 Use Your Head Enrichment 2-4 Look at the problem and the answer. Without actually adding the problem, decide whether or not the given answer is reasonable. Write Yes or No and explain your answer. 1. 224 303 ! 125 652 2. 300 478 ! 213 991 3. 24 56 ! 15 83 4. 18,207 4,956 ! 2,345 101,217 6. 2,341 4,750 ! 1,532 80,623 5. © Pearson Education, Inc. 4 ! 31,058 20,790 18,903 70,751 Reasonableness 48 Nat_AncTopic_2.indb 48 Topic 2 1/29/08 2:11:56 PM Name Enrichment 2-4 Use Your Head Look at the problem and the answer. Without actually adding the problem, decide whether or not the given answer is reasonable. Write Yes or No and explain your answer. 224 303 ! 125 652 2. Enrichment 2-4 Yes; The answer should be close to 650. 3. 24 56 ! 15 83 Yes; The answer should be about 1,000. 4. No; The answer should be close to 100. 5. ! 31,058 20,790 18,903 70,751 Yes; The answer should be close to 70,000. 48 Nat_AncTopic_2.indb 48 300 478 ! 213 991 18,207 4,956 ! 2,345 101,217 No; The answer should be about 25,500. 6. 2,341 4,750 ! 1,532 80,623 No; The answer should be about 8,600. © Pearson Education, Inc. 4 1. Reasonableness Topic 2 1/29/08 2:01:06 PM Name Daily Spiral Review 2-5 1. Paula’s family sells lemonade at county fairs during the summer. The chart below shows how many cups of lemonade they sold each month. Lemonade Sales Number of Cups Sold Month May 410 June 1,438 July 4,899 August 2,145 TOTAL 4. Jasmine handed out fliers for a charity event. She started with 75 fliers and ended with 21. How many fliers did Jasmine hand out? Show your work. 5. Multiply 12 ! 4. 6. Multiply 2 ! 10. A B C D Daily Spiral Review 2-5 What was the total number of cups Paula’s family sold? 8,453 8,763 8,882 8,892 © Pearson Education, Inc. 4 2. What is 12,389 rounded to the nearest hundred? A 12,000 B 12,300 C 12,390 D 12,400 3. If there are 10,000 bees in 1 hive, how many bees are in 5 hives? A 5,000 B 50,000 C 500,000 D 5,000,000 Topic 2 Nat_AncTopic_,.indb 42 49 1/,2/08 ,:11:59 :M Name Daily Spiral Review 2-5 1. Paula’s family sells lemonade at county fairs during the summer. The chart below shows how many cups of lemonade they sold each month. Lemonade Sales Number of Cups Sold Month May 410 June 1,438 July 4,899 August 2,145 TOTAL 4. Jasmine handed out fliers for a charity event. She started with 75 fliers and ended with 21. How many fliers did Jasmine hand out? Show your work. 54 5. Multiply 12 ! 4. 48 6. Multiply 2 ! 10. 20 A B C D Daily Spiral Review 2-5 What was the total number of cups Paula’s family sold? 8,453 8,763 8,882 8,892 © Pearson Education, Inc. 4 2. What is 12,389 rounded to the nearest hundred? A 12,000 B 12,300 C 12,390 D 12,400 3. If there are 10,000 bees in 1 hive, how many bees are in 5 hives? A 5,000 B 50,000 C 500,000 D 5,000,000 Topic 2 Nat_AncTopic_2.indb 49 49 1/29/08 2:01:07 PM 50 Nat_AncTopic_2.indb 50 Problem of the Day 2- 5 Topic 2 Problem of the Day 2-5 1/29/08 2:11:57 PM © Pearson Education, Inc. 4 Problem of the Day Tomás has 67 baseball cards and 48 football cards in his collection. How many sports cards does Tomás have in all? 2-5 Name 1. 559 ! 381 Quick Check 2-5 2. 1,667 ! 763 A 178 A 840 B 228 B 894 C 238 C 904 D 940 D 940 3. Hannah scored 5,772 points playing her favorite computer game. Joshua scored 4,881 points on the same game. How many more points did Hannah score than Joshua? A 891 Quick Check 2-5 B 999 C 1,001 D 1,111 © Pearson Education, Inc. 4 4. Writing to Explain Jeremy earned a total of $288 mowing lawns this summer. He plans to use the money he earned to buy a new bike. If the bike costs $279, how much money will Jeremy have left? Explain how you found your answer. Topic 2 Nat_AncTopic_2.indb 51 51 1/29/08 2:11:58 PM Name 1. 559 ! 381 Quick Check 2-5 2. 1,667 ! 763 A 178 A 840 B 228 B 894 C 238 C 904 D 940 D 940 3. Hannah scored 5,772 points playing her favorite computer game. Joshua scored 4,881 points on the same game. How many more points did Hannah score than Joshua? A 891 Quick Check 2-5 B 999 C 1,001 D 1,111 4. Writing to Explain Jeremy earned a total of $288 mowing lawns this summer. He plans to use the money he earned to buy a new bike. If the bike costs $279, how much money will Jeremy have left? Explain how you found your answer. © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 51 51 1/29/08 2:01:09 PM Name Reteaching 2-5 Subtracting Whole Numbers Here is how to subtract. Find 7,445 ! 1,368. Estimate: 7,000 ! 1,000 " 6,000 Step 1 Step 2 Step 3 13 3 315 315 Step 4 13 3 315 13 3 315 7,4 4 5 7,4 4 5 7,4 4 5 7,4 4 5 ! 1,368 ! 1,368 ! 1,368 ! 1,368 7 77 077 6,077 Reteaching 2-5 You cannot subtract You cannot subtract Subtract 3 hundreds Subtract 1 thousand from 7 thousands. 8 ones from 5 ones. 6 tens from 3 tens. from 3 hundreds. You must regroup. You must regroup. 1 1 6,077 Regroup 4 tens as 3 Regroup 4 hundreds as 3 hundreds and tens and 10 ones. 10 tens. Subtract 8 ones Subtract 6 tens from from 15 ones. 13 tens. # 1,368 7,445 You can check your answer using addition. Subtract. 1. 624 2. ! 379 5. 4,772 !1,671 759 3. ! 211 6. 8,335 ! 4,188 814 4. ! 662 7. 4,219 ! 1,379 391 ! 208 8. 5,216 ! 2,158 © Pearson Education, Inc. 4 9. Estimation Carlos has 2,175 marbles in his collection. Emily has 1,833 marbles in her collection. Carlos says that he has about 1,000 more marbles than Emily. Is Carlos correct? 52 Nat_AncTopic_2.indb 52 Topic 2 1/29/08 2:11:59 PM Name Reteaching 2-5 Subtracting Whole Numbers Here is how to subtract. Find 7,445 ! 1,368. Estimate: 7,000 ! 1,000 " 6,000 Step 1 Step 2 Step 3 13 3 315 315 Step 4 13 3 315 13 3 315 7,4 4 5 7,4 4 5 7,4 4 5 7,4 4 5 ! 1,368 ! 1,368 ! 1,368 ! 1,368 7 77 077 6,077 Reteaching 2-5 You cannot subtract You cannot subtract Subtract 3 hundreds Subtract 1 thousand from 7 thousands. 8 ones from 5 ones. 6 tens from 3 tens. from 3 hundreds. You must regroup. You must regroup. 1 1 6,077 Regroup 4 tens as 3 Regroup 4 hundreds as 3 hundreds and tens and 10 ones. 10 tens. Subtract 8 ones Subtract 6 tens from from 15 ones. 13 tens. # 1,368 7,445 You can check your answer using addition. Subtract. 1. 624 2. ! 379 245 5. 4,772 !1,671 3,101 759 3. ! 211 548 6. 8,335 ! 4,188 4,147 814 4. ! 662 152 7. 4,219 ! 1,379 2,840 391 ! 208 183 8. 5,216 ! 2,158 3,058 No; Carlos has about 400 more marbles than Emily. 52 Nat_AncTopic_2.indb 52 © Pearson Education, Inc. 4 9. Estimation Carlos has 2,175 marbles in his collection. Emily has 1,833 marbles in her collection. Carlos says that he has about 1,000 more marbles than Emily. Is Carlos correct? Topic 2 1/29/08 2:01:10 PM Name Practice 2-5 Subtracting Whole Numbers Subtract. 1. 5. 7,242 ! 158 2. 753 6. ! 218 3. 520 ! 203 7,392 7. ! 4,597 9. 3,328 ! 1,754 848 ! 257 3,898 ! 1,299 10. 9,333 ! 1,555 4. 6,797 ! 1,298 8. 3,721 ! 459 11. 6,797 ! 1,298 12. Which of the following best describes the answer to the subtraction problem below? 3,775 ! 1,831 A The answer is less than 1,000. Practice 2-5 B The answer is about 1,000. C The answer is greater than 1,000. D You cannot tell from the information given. 13. Writing to Explain The Environmental Club’s goal is to collect 1,525 cans by the end of the summer. The number of cans they collected each week is shown in the table below. How can you find the number of cans they need to collect in week 4 to meet their goal? Number of cans collected 378 521 339 © Pearson Education, Inc. 4 Week Number 1 2 3 4 Topic 2 Nat_AncTopic_2.indb 53 53 1/29/08 2:11:59 PM Name Practice 2-5 Subtracting Whole Numbers Subtract. 1. 2. 7,242 ! 158 7,084 5. 520 3. ! 203 317 6. 753 ! 218 7,392 ! 4,597 535 2,795 9. 3,328 ! 1,754 848 ! 257 591 7. 3,898 ! 1,299 2,599 4. 6,797 ! 1,298 5,499 8. 3,721 ! 459 3,262 1,574 10. 9,333 ! 1,5557,77811. 6,797 ! 1,298 5,499 12. Which of the following best describes the answer to the subtraction problem below? 3,775 ! 1,831 A The answer is less than 1,000. Practice 2-5 B The answer is about 1,000. C The answer is greater than 1,000. D You cannot tell from the information given. 13. Writing to Explain The Environmental Club’s goal is to collect 1,525 cans by the end of the summer. The number of cans they collected each week is shown in the table below. How can you find the number of cans they need to collect in week 4 to meet their goal? © Pearson Education, Inc. 4 Week Number 1 2 3 4 Number of cans collected 378 521 339 287 Add the number of cans they collected in weeks 1–3, and subtract from 1,525. Topic 2 Nat_AncTopic_2.indb 53 53 1/29/08 2:01:11 PM Name Enrichment 2-5 So Many Decisions! The local sports store is holding an anniversary sale. As part of the sale, every 100th customer gets a chance to win prizes. Each selected shopper gets 15 minutes to fill a shopping cart with sporting goods and clothing. If the total price of the items is more than $280 but less than $300, the shopper keeps everything in the cart. Estimation Enrichment 2-5 Here is a list of sporting goods and clothing. Place a check mark next to any item you would put in the cart. Then find your total. Item Price Item Price Baseball Football Basketball Hockey puck Baseball glove Running shorts Cycling gloves Stopwatch Football helmet Golf clubs $ 4.99 $17.95 $21.99 $ 8.50 $34.99 $11.50 $16.00 $ 3.49 $60.00 $99.99 Bicycle Tennis racket Tennis balls Sweatshirt Shoes Weight set In-line skates Gym ball Baseball bat Golf balls $ 178.99 $ 29.79 $ 7.25 $ 16.99 $ 41.50 $ 89.99 $ 53.69 $ 1.99 $ 27.99 $ 14.50 1. What is your total price? 2. Did you win your items? © Pearson Education, Inc. 4 3. How did you decide which items to choose? 54 Nat_AncTopic_2.indb 54 Topic 2 1/29/08 2:12:00 PM Name Enrichment 2-5 So Many Decisions! The local sports store is holding an anniversary sale. As part of the sale, every 100th customer gets a chance to win prizes. Each selected shopper gets 15 minutes to fill a shopping cart with sporting goods and clothing. If the total price of the items is more than $280 but less than $300, the shopper keeps everything in the cart. Estimation Enrichment 2-5 Here is a list of sporting goods and clothing. Place a check mark next to any item you would put in the cart. Then find your total. Item Price Item Price Baseball Football Basketball Hockey puck Baseball glove Running shorts Cycling gloves Stopwatch Football helmet Golf clubs $ 4.99 $17.95 $21.99 $ 8.50 $34.99 $11.50 $16.00 $ 3.49 $60.00 $99.99 Bicycle Tennis racket Tennis balls Sweatshirt Shoes Weight set In-line skates Gym ball Baseball bat Golf balls $ 178.99 $ 29.79 $ 7.25 $ 16.99 $ 41.50 $ 89.99 $ 53.69 $ 1.99 $ 27.99 $ 14.50 1. What is your total price? Check students’ totals. 2. Did you win your items? Check students’ answers. Check that students used addition and estimation to decide on items that would fall within the price range. 54 Nat_AncTopic_2.indb 54 © Pearson Education, Inc. 4 3. How did you decide which items to choose? Topic 2 1/29/08 2:01:11 PM Name 1. Which number is thirty-two thousand, four hundred eight written in standard form? A 32,480 B 32,408 C 30,248 D 30,240 2. The Wolves sold 4,038 tickets to their soccer game. The Leopards sold 4,048 tickets to their game. Which shows the correct way to compare 4,038 and 4,048? A 4,038 ! 4,048 B 4,038 " 4,048 C 4,038 # 4,048 D 4,038 $ 4,048 Daily Spiral Review 2-6 Lilith brought 20 cans to the food drive. Marcus brought 7 cans to the food drive. If Paulina brought 8 more cans than Lilith and Marcus combined, how many cans did Paulina bring? Paulina’s Donation = ? 20 7 8 20 % 7 % 8 # 35 So, Paulina brought 35 cans to the food drive. 4. Did Norman answer the question correctly? Is his work correct? Explain. Daily Spiral Review 2-6 © Pearson Education, Inc. 4 3. To what place is the number 12,340,000 rounded? A Tens B Hundreds C Thousands D Ten thousands Topic 2 Nat_AncTopic_2.indb 55 55 1/29/08 2:12:01 PM Name 1. Which number is thirty-two thousand, four hundred eight written in standard form? A 32,480 B 32,408 C 30,248 D 30,240 2. The Wolves sold 4,038 tickets to their soccer game. The Leopards sold 4,048 tickets to their game. Which shows the correct way to compare 4,038 and 4,048? A 4,038 ! 4,048 B 4,038 " 4,048 C 4,038 # 4,048 D 4,038 $ 4,048 2-6 Lilith brought 20 cans to the food drive. Marcus brought 7 cans to the food drive. If Paulina brought 8 more cans than Lilith and Marcus combined, how many cans did Paulina bring? Paulina’s Donation = ? 20 7 8 20 % 7 % 8 # 35 So, Paulina brought 35 cans to the food drive. 4. Did Norman answer the question correctly? Is his work correct? Explain. Yes, Paulina brought 35 cans. Norman’s work is correct. © Pearson Education, Inc. 4 Daily Spiral Review 2-6 3. To what place is the number 12,340,000 rounded? A Tens B Hundreds C Thousands D Ten thousands Daily Spiral Review Topic 2 Nat_AncTopic_,.indb 55 55 1/,4/08 ,:01:1, PM 56 Nat_AncTopic_2.indb 52 Problem of the Day 2-6 Topic 2 Problem of the Day 2-6 2-6 1/25/08 2:12:02 9M © Pearson Education, Inc. 4 Problem of the Day Mrs. Taylor makes hummingbird food using sugar and water. She uses 4 cups of water for every 1 cup of sugar. How many cups of water does she need if she has 5 cups of sugar? Name Quick Check 2-6 Circle the correct answer. 1. 408 − 259 2. 1,097 − 768 A 149 A 239 B 151 B 329 C 249 C 1,031 D 251 D 1,331 3. 9,070 − 4,675 A 4,395 B 4,415 C 5,275 D 5,605 Quick Check 2-6 4. Writing to Explain Petulia needed to subtract 375 from 700. Is her answer correct? If not, explain why and write the correct answer. 9 10 © Pearson Education, Inc. 4 700 !375 425 Topic 2 Nat_AncTopic_2.indb 57 57 1/29/08 2:12:03 PM Name Quick Check 2-6 Circle the correct answer. 1. 408 − 259 2. 1,097 − 768 A 149 A 239 B 151 B 329 C 249 C 1,031 D 251 D 1,331 3. 9,070 − 4,675 A 4,395 B 4,415 C 5,275 D 5,605 Quick Check 2-6 4. Writing to Explain Petulia needed to subtract 375 from 700. Is her answer correct? If not, explain why and write the correct answer. 9 10 700 !375 425 © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 57 57 1/29/08 2:01:14 PM Name Reteaching 2-6 Subtracting Across Zeros Here is how to subtract across zeros. Find 606 ! 377. Estimate: 600 ! 400 " 200 Step 1 Step 2 606 377 Since there is a zero in the tens place, you must regroup using the hundreds. 9 5 10 16 606 377 Regroup 10 tens and 6 ones as 9 tens and 16 ones. Regroup 6 hundreds as 5 hundreds and 10 tens. Reteaching 2-6 Step 4 9 5 10 16 5 10 606 377 You cannot subtract 7 ones from 6 ones, so you must regroup. Step 3 606 377 229 Subtract. 11 229 377 606 You can check your answer by using addition. Subtract. 1. ! 5. 707 58 4,507 ! 3,569 2. 6. 950 ! 47 3. 3,076 ! 1,466 7. 800 ! 638 4. 8,106 ! 2,999 8. ! 3,506 866 6,083 ! 1,492 © Pearson Education, Inc. 4 9. Reasonableness Lexi subtracts 9,405 from 11,138. Should her answer be greater than or less than 2,000? Explain. 58 Nat_AncTopic_2.indb 58 Topic 2 1/29/08 2:12:03 PM Name Reteaching 2-6 Subtracting Across Zeros Here is how to subtract across zeros. Find 606 ! 377. Estimate: 600 ! 400 " 200 Step 1 Step 2 606 377 Since there is a zero in the tens place, you must regroup using the hundreds. 9 5 10 16 606 377 Regroup 10 tens and 6 ones as 9 tens and 16 ones. Regroup 6 hundreds as 5 hundreds and 10 tens. Reteaching 2-6 Step 4 9 5 10 16 5 10 606 377 You cannot subtract 7 ones from 6 ones, so you must regroup. Step 3 606 377 229 Subtract. 11 229 377 606 You can check your answer by using addition. Subtract. 1. ! 707 58 2. ! 649 5. 4,507 ! 3,569 938 950 47 3. 903 6. 3,076 ! 1,466 1,610 800 ! 638 4. 8,106 ! 2,999 8. ! 162 7. 5,107 3,506 866 2,640 6,083 ! 1,492 4,591 Less than; 405 is greater than 138, so you would regroup to subtract. 58 Nat_AncTopic_2.indb 58 © Pearson Education, Inc. 4 9. Reasonableness Lexi subtracts 9,405 from 11,138. Should her answer be greater than or less than 2,000? Explain. Topic 2 1/29/08 2:01:15 PM Name Practice 2-6 Subtracting Across Zeros Subtract. 1. 906 45 2. 1,070 ! 593 6. ! 5. 9. 7,403 ! 3,254 3,091 ! 1,361 3. 8,904 ! 3,596 7. 4,000 ! 2,557 4. 3,007 ! 2,366 8. 10. 5,067 ! 2,987 ! 800 139 523 ! 203 11. 6,790 ! 1,298 12. Robert set a goal to swim 1,000 laps in the local swimming pool during his summer break. Robert has currently finished 642 laps. How many more laps does he have to swim in order to meet his goal? B 358 C 468 Practice 2-6 A 332 D 472 " 694. © Pearson Education, Inc. 4 , then 622 # 13. Writing to Explain If 694 ! 72 " Explain the process of checking your work. Topic 2 Nat_AncTopic_2.indb 59 59 1/29/08 2:12:04 PM Name Practice 2-6 Subtracting Across Zeros Subtract. 1. 906 45 2. 1,070 ! 593 6. ! 861 5. 477 3,091 ! 1,361 3. 8,904 ! 3,596 7. 1,730 4,000 ! 2,557 4. 3,007 ! 2,366 8. ! 1,443 5,308 641 800 139 661 523 ! 203 320 9. 7,403 ! 3,254 10. 5,067 ! 2,987 11. 6,790 ! 1,298 4,149 2,080 5,492 12. Robert set a goal to swim 1,000 laps in the local swimming pool during his summer break. Robert has currently finished 642 laps. How many more laps does he have to swim in order to meet his goal? B 358 C 468 622 Practice 2-6 A 332 D 472 , then 622 # 13. Writing to Explain If 694 ! 72 " Explain the process of checking your work. 72 " 694. © Pearson Education, Inc. 4 Add to check the difference because addition and subtraction are inverse operations. They undo each other. Topic 2 Nat_AncTopic_2.indb 59 59 1/29/08 2:01:16 PM Name Enrichment 2-6 Transportation Conclusions Each person made a conclusion about the data in the table. Think about each person’s conclusion. Do you agree? Explain. Data Airports and Railways Number of Airports Length of Railways (km) Australia 455 47,738 Finland 148 5,741 France 501 29,085 Germany 554 47,201 Hungary 46 7,937 Japan 175 23,556 New Zealand 118 4,128 Enrichment 2-6 Country 1. Kylie compared the length of railways in Australia and Japan. She concluded that Australia has 24,282 kilometers of railway more than Japan. 2. Franklin looked at the number of airports in Germany and Hungary. He concluded that Germany has 508 more airports than Hungary. © Pearson Education, Inc. 4 3. Theona concluded that France has 14 more airports than Hungary, New Zealand, Finland, and Japan altogether. 60 Nat_AncTopic_2.indb 60 Topic 2 1/29/08 2:12:05 PM Name Enrichment 2-6 Transportation Conclusions Each person made a conclusion about the data in the table. Think about each person’s conclusion. Do you agree? Explain. Data Airports and Railways Number of Airports Length of Railways (km) Australia 455 47,738 Finland 148 5,741 France 501 29,085 Germany 554 47,201 Hungary 46 7,937 Japan 175 23,556 New Zealand 118 4,128 Enrichment 2-6 Country 1. Kylie compared the length of railways in Australia and Japan. She concluded that Australia has 24,282 kilometers of railway more than Japan. Sample answers are given. No, Kylie subtracted incorrectly. Australia has 24,182 kilometers more railway. 2. Franklin looked at the number of airports in Germany and Hungary. He concluded that Germany has 508 more airports than Hungary. Yes, Franklin subtracted correctly and his conclusion is correct. Yes, Theona subtracted correctly and her conclusion is correct. 60 Nat_AncTopic_2.indb 60 © Pearson Education, Inc. 4 3. Theona concluded that France has 14 more airports than Hungary, New Zealand, Finland, and Japan altogether. Topic 2 1/29/08 2:01:16 PM Name 1. A florist delivered 24 flowers for a birthday party and 48 flowers for a wedding. How many flowers did the florist deliver for both events? Use mental math to add. A 72 B 70 C 62 D 24 2. Rosita has $10.00. She buys a sundae for $2.59. How much money does she have left? A $4.71 B $7.14 C $7.41 D $8.41 Daily Spiral Review 2-7 4. Jack travels 12 miles each day on the school bus. How many miles does Jack travel in 5 days? 5. The distance from Earth to the moon is about 250,000 miles. A spaceship can travel 50,000 miles in a day. Can the spaceship travel to the moon and back again in one week? © Pearson Education, Inc. 4 Daily Spiral Review 2-7 3. Bay City has a population of 49,542. What is Bay City’s population rounded to the nearest thousand? A 49,000 B 49,542 C 50,000 D 60,000 Topic 2 Nat_AncTopic_2.indb 61 61 1/29/08 2:12:06 PM Name 1. A florist delivered 24 flowers for a birthday party and 48 flowers for a wedding. How many flowers did the florist deliver for both events? Use mental math to add. A 72 B 70 C 62 D 24 2. Rosita has $10.00. She buys a sundae for $2.59. How much money does she have left? A $4.71 B $7.14 C $7.41 D $8.41 Daily Spiral Review 2-7 4. Jack travels 12 miles each day on the school bus. How many miles does Jack travel in 5 days? 60 miles 5. The distance from Earth to the moon is about 250,000 miles. A spaceship can travel 50,000 miles in a day. Can the spaceship travel to the moon and back again in one week? No, it would take 10 days. © Pearson Education, Inc. 4 Daily Spiral Review 2-7 3. Bay City has a population of 49,542. What is Bay City’s population rounded to the nearest thousand? A 49,000 B 49,542 C 50,000 D 60,000 Topic 2 Nat_AncTopic_2.indb 61 61 1/29/08 2:01:17 PM 62 Nat_AncTopic_2.indb 62 Problem of the Day 2-7 Topic 2 Problem of the Day 2-7 Draw a picture to show the main idea. Solve. The animal rescue association put this ad in the paper. 2-7 1/29/08 2:12:06 PM © Pearson Education, Inc. 4 Problem of the Day How many animals need adopting? Name 1. Raoul has 4 pennies and 5 dimes in his coat pocket. How many coins does he have in all? Quick Check 2-7 2. Sofia picked 7 apples and gave 2 to Jules. How many apples does she have left? A 1 A 4 B 9 B 5 C 20 C 9 D 45 D 14 3. Smallville is 104 miles east of Bigtown. Medburg is 206 miles east of Bigtown. How many miles is Medburg from Smallville? A 100 B 102 C 106 D 310 © Pearson Education, Inc. 4 Quick Check 2-7 4. Writing to Explain A model kit has 100 pieces. The kit has long beams, short beams, and connectors. There are 20 long beams and 30 short beams. Ann built a bridge from 62 pieces. How many pieces does she have left? Draw a picture to help you solve the problem. Topic 2 Nat_AncTopic_2.indb 63 63 1/29/08 2:12:07 PM Name 1. Raoul has 4 pennies and 5 dimes in his coat pocket. How many coins does he have in all? Quick Check 2-7 2. Sofia picked 7 apples and gave 2 to Jules. How many apples does she have left? A 1 A 4 B 9 B 5 C 20 C 9 D 45 D 14 3. Smallville is 104 miles east of Bigtown. Medburg is 206 miles east of Bigtown. How many miles is Medburg from Smallville? A 100 B 102 C 106 D 310 Quick Check 2-7 4. Writing to Explain A model kit has 100 pieces. The kit has long beams, short beams, and connectors. There are 20 long beams and 30 short beams. Ann built a bridge from 62 pieces. How many pieces does she have left? Draw a picture to help you solve the problem. © Pearson Education, Inc. 4 See student samples to the right. Topic 2 Nat_AncTopic_2.indb 63 63 1/29/08 2:01:19 PM Name Reteaching Problem Solving: Draw a Picture and Write an Equation 2-7 Read the question and follow the steps to develop a problem-solving strategy. In the morning, a grocery store had 28 apples on display. By the end of the day, 11 apples had been purchased. How many apples were left? Step 1: Read/Understand Step 2: Plan Step 3: Solve • Find the information you are given. [There were 28 apples; now there are 11 fewer apples.] • Draw a picture that helps you visualize the problem you are trying to solve. • Figure out which operation you need to use to solve the problem, and write an equation. [Subtraction; 28 ! 11 " ?] 28 in all • Find the information you need to figure out. [The number of apples that are left] 11 ? • Solve the equation to answer the problem. [28 ! 11 " 17; 17 apples were left.] Reteaching 2-7 1. Strategy Practice On Monday, Erika put 12 flakes of fish food in her fish tank before school, and 13 more when she got home. How many flakes did she put in the tank that day? Use the steps to answer the question. Step 1: Step 2: Step 3: • What information are you given? • Draw a picture. • Choose an operation and write an equation. • What information do you need to figure out? • Solve the equation. 3. There are 29 students in the school band. During practice, 6 new students joined the band. How many students are in the band now? 4. Jaycee’s teacher gave her a box of 96 pens. She gave 17 of the pens to her classmates. How many pens were left in the box? 64 Nat_AncTopic_2.indb 64 © Pearson Education, Inc. 4 Solve the following problems. Draw pictures to help you. 2. Roy is reading a book that is 68 pages. He has read 24 pages so far. How many more pages does he have to read to finish the book? Topic 2 1/29/08 2:12:08 PM Name Reteaching Problem Solving: Draw a Picture and Write an Equation 2-7 Read the question and follow the steps to develop a problem-solving strategy. In the morning, a grocery store had 28 apples on display. By the end of the day, 11 apples had been purchased. How many apples were left? Step 1: Read/Understand Step 2: Plan Step 3: Solve • Find the information you are given. [There were 28 apples; now there are 11 fewer apples.] • Draw a picture that helps you visualize the problem you are trying to solve. • Figure out which operation you need to use to solve the problem, and write an equation. [Subtraction; 28 ! 11 " ?] 11 ? • Solve the equation to answer the problem. [28 ! 11 " 17; 17 apples were left.] Reteaching 2-7 1. Strategy Practice On Monday, Erika put 12 flakes of fish food in her fish tank before school, and 13 more when she got home. How many flakes did she put in the tank that day? Use the steps to answer the question. 25 Step 1: Step 2: Step 3: • What information are you given? • Draw a picture. • Choose an operation and write an equation. • What information do you need to figure out? • Solve the equation. Solve the following problems. Draw pictures to help you. 2. Roy is reading a book that is 68 pages. He has read 24 pages so far. How many more pages does he have to read to finish the book? 44 3. There are 29 students in the school band. During practice, 6 new students joined the band. How many students are in the band now? 35 4. Jaycee’s teacher gave her a box of 96 pens. She gave 17 of the pens to her classmates. How many pens were left in the box? 79 64 Nat_AncTopic_2.indb 64 © Pearson Education, Inc. 4 28 in all • Find the information you need to figure out. [The number of apples that are left] Topic 2 1/29/08 2:01:20 PM Name Practice 2-7 Problem Solving: Draw a Picture and Write an Equation For exercises 1 through 4 write an equation and solve. Use the picture to help you. 1. A remote control car has a speed of 2. Danny has 45 minutes to take a 5 feet per second. How many feet math test. If Danny finishes half will the car travel in 6 seconds? the test in 19 minutes, how many minutes does he have left to finish it? ? feet in 6 seconds 5 ft 5 ft 5 ft 5 ft 5 ft 5 ft 45 minutes 19 minutes 3. While shopping, Janet bought a shirt for $8, a pair of jeans for $22, mittens for $5, and a hat for $10. How much money did Janet spend? 4. The 175th anniversary of the completion of the Erie Canal was in the year 2000. If it took 8 years to dig the canal, in what year did the digging of the Erie Canal begin? Year 2000 ? money spent $22 $5 $10 175 8 ? year digging began Practice 2-7 $8 ? minutes left 5. The average length of a song on a certain CD is 3 minutes. The CD has 12 songs. Write an equation for the length of the whole CD. Draw a picture to help you. A 12 ! 3 B 12 " 3 C 12 # 3 D 12 $ 3 © Pearson Education, Inc. 4 6. Writing to Explain It takes Jinny 56 minutes to drive to her friend’s house. She drove 15 minutes and then stopped at a store. She then drove another 10 minutes. What do you need to do to find the amount of time she has left to drive? Topic 2 Nat_AncTopic_2.indb 65 65 1/29/08 2:12:08 PM Name Practice 2-7 Problem Solving: Draw a Picture and Write an Equation For exercises 1 through 4 write an equation and solve. Use the picture to help you. 1. A remote control car has a speed of 2. Danny has 45 minutes to take a 5 feet per second. How many feet math test. If Danny finishes half will the car travel in 6 seconds? the test in 19 minutes, how many minutes does he have left to finish it? 5 ! 6 " 30 feet ? feet in 6 seconds 45 $ 19 " 26 minutes 5 ft 5 ft 5 ft 5 ft 5 ft 5 ft 45 minutes 19 minutes 3. While shopping, Janet bought a shirt for $8, a pair of jeans for $22, mittens for $5, and a hat for $10. How much money did Janet spend? ? minutes left 4. The 175th anniversary of the completion of the Erie Canal was in the year 2000. If it took 8 years to dig the canal, in what year did the digging of the Erie Canal begin? $8 # $22 # $5 2000 $ 175 $ 8 " 1817 # $10 " $45 ? money spent $22 $5 $10 175 8 ? year digging began Practice 2-7 $8 Year 2000 5. The average length of a song on a certain CD is 3 minutes. The CD has 12 songs. Write an equation for the length of the whole CD. Draw a picture to help you. A 12 ! 3 B 12 " 3 C 12 # 3 D 12 $ 3 © Pearson Education, Inc. 4 6. Writing to Explain It takes Jinny 56 minutes to drive to her friend’s house. She drove 15 minutes and then stopped at a store. She then drove another 10 minutes. What do you need to do to find the amount of time she has left to drive? Add the time she has already driven and subtract it from the total time it takes to get there. Topic 2 Nat_AncTopic_2.indb 65 65 1/29/08 2:01:20 PM Name Enrichment 2-7 Flying High Number Sense a ant Atl n sto Boston 946 Bo Chicago 606 867 Dallas 721 1,555 796 lla Da 1,208 1,767 901 654 235 982 Denver Detroit 505 632 Ch go ica s r nve De 1,135 Use the air distance chart above to write a number sentence for each problem. Then solve. 1. How many more miles does it take to get from Denver to Atlanta than to get from Detroit to Atlanta and Chicago to Atlanta combined? Enrichment 2-7 2. Jorge flew from Dallas to Detroit, from Detroit to Denver, and from Denver back to Dallas. How many miles did Jorge fly altogether? 3. Maria flew from her home city of Boston to Atlanta, back home to Boston, and then back to Atlanta. How many miles did she fly altogether? © Pearson Education, Inc. 4 4. How many more miles is it to fly round-trip between Dallas and Boston than between Denver and Chicago? 66 Nat_AncTopic_2.indb 66 Topic 2 1/29/08 2:12:10 PM Name Enrichment 2-7 Flying High Number Sense an Atl ta sto n Boston 946 Bo Chicago 606 867 Dallas 721 1,555 796 llas Da 1,208 1,767 901 654 235 982 Denver Detroit 505 632 go ica Ch r nve De 1,135 Use the air distance chart above to write a number sentence for each problem. Then solve. 1. How many more miles does it take to get from Denver to Atlanta than to get from Detroit to Atlanta and Chicago to Atlanta combined? 1,208 ! (505 " 606) # 97 mi Sample answers given Enrichment 2-7 2. Jorge flew from Dallas to Detroit, from Detroit to Denver, and from Denver back to Dallas. How many miles did Jorge fly altogether? (982 " 1,135) " 654 # 2,771 mi 3. Maria flew from her home city of Boston to Atlanta, back home to Boston, and then back to Atlanta. How many miles did she fly altogether? (946 " 946) " 946 # 2,838 mi (1,555 " 1,555) ! (901 " 901) # 3,110 ! 1,802 # 1,308 mi 66 Nat_AncTopic_2.indb 66 © Pearson Education, Inc. 4 4. How many more miles is it to fly round-trip between Dallas and Boston than between Denver and Chicago? Topic 2 1/29/08 2:01:22 8M Name Topic 2 Multiple-Choice Test Mark the best answer. 1. Amanda’s ant farm holds 56,732 ants. Jim’s ant farm holds 48,841 ants. How many more ants does Amanda’s ant farm hold? (2-5) A 17,891 B 7,981 C 7,891 D 2,191 2. The following table shows cans collected for a food drive. Cans Collected January 419 February 385 March 452 3. Ernest bought half a dozen sunflowers for $0.65 each, three lilies, and a rose that cost $1.19. What information is needed to find the total amount Ernest spent before tax? (2-3) A the cost of the lilies B the cost of the posies C who the sunflowers are for D how much money Ernest has 4. Daisy’s class wants to collect 273 toys for homeless children. So far, they have gathered 183. Which picture models the number of toys they need? (2-7) Which is the best estimate of the total number of cans collected? (2-2) A A 1,300 B 273 183 ? B 1,100 C 800 D 700 ? 273 183 183 C 273 ? 273 D 183 ? Topic 2 Nat_AncTopic_2.indb 67 67 Multiple-Choice Test Center Activity 8-4 Topic 2 © Pearson Education, Inc. 4 183 1/29/08 2:12:10 PM Name Topic 2 Multiple-Choice Test Mark the best answer. 1. Amanda’s ant farm holds 56,732 ants. Jim’s ant farm holds 48,841 ants. How many more ants does Amanda’s ant farm hold? (2-5) A 17,891 B 7,981 C 7,891 D 2,191 2. The following table shows cans collected for a food drive. Cans Collected January 419 February 385 March 452 3. Ernest bought half a dozen sunflowers for $0.65 each, three lilies, and a rose that cost $1.19. What information is needed to find the total amount Ernest spent before tax? (2-3) A the cost of the lilies B the cost of the posies C who the sunflowers are for D how much money Ernest has 4. Daisy’s class wants to collect 273 toys for homeless children. So far, they have gathered 183. Which picture models the number of toys they need? (2-7) Which is the best estimate of the total number of cans collected? (2-2) A A 1,300 B 273 183 ? B 1,100 C 800 D 700 ? 273 183 183 C 273 ? 273 D 183 ? Topic 2 Nat_AncTopic_2.indb 67 67 Multiple-Choice Test Center Activity 8-4 Topic 2 © Pearson Education, Inc. 4 183 1/29/08 2:01:23 PM Name Topic 2 Free-Response Test Give each answer. Add or subtract mentally. Use breaking apart or compensation. 1. 576 ! 354 9. 65 ! 32 2. 185 " 115 10. 434 " 76 3. 53 ! 18 11. 543 " 342 4. 893 ! 351 12. 4,629 " 6,331 Estimate each sum or difference. 13. 687 ! 298 5. 5,838 ! 1,472 6. 818 " 333 7. 7,545 " 7,211 © Pearson Education, Inc. 4 Topic 2 Free-Response Test 8. 376 ! 112 70 Nat_AncTopic_2.indb 70 Topic 2 1/29/08 2:12:12 PM Name Topic 2 Free-Response Test Give each answer. Add or subtract mentally. Use breaking apart or compensation. 1. 576 ! 354 222 2. 185 " 115 300 3. 53 ! 18 35 4. 893 ! 351 542 Estimate each sum or difference. 5. 5,838 ! 1,472 4,300 6. 818 " 333 1,150 7. 7,545 " 7,211 9. 65 ! 32 40 10. 434 " 76 500 11. 543 " 342 800 12. 4,629 " 6,331 11,000 13. 687 ! 298 400 Sample answers are given for 5–13. 14,700 8. 376 ! 112 © Pearson Education, Inc. 4 Topic 2 Free-Response Test 270 70 Nat_AncTopic_2.indb 70 Topic 2 1/29/08 2:01:25 PM Name Topic 2 Performance Assessment A summer camp needs help planning transportation routes so that 25 campers have rides to camp every day. Van A, Van B, Van C, and Van D can each hold 5 campers. The minibus can hold 8 campers. The map below shows how many campers are in each town. Camp Three Rivers 1 Visalia 5 Farmersville 2 Exeter 2 Ivanhoe 2 Woodlake 2 Lemon Grove 1 Tulare 3 Lindsay 2 Strathmore 1 Porterville 3 Tipton 1 1. Plan a route for each vehicle. 2. Fill in the table below. Remember that all 25 campers need rides to camp. To fill in information about a vehicle, find the row for that vehicle. Then move to the column for the information and write down that information. The total seats column is done for you. Vehicle Name Van A Van B Van C Van D Minibus Total Seats 5 5 5 5 8 Unoccupied Seats Occupied Seats Total 4. The camp wants to replace the minibus with another van. Is it possible to pick up all the campers with 5 vans and no minibus? How would the routes change if you replaced the minibus with Van E, which also holds 5 campers? 72 Nat_AncTopic_2.indb 72 © Pearson Education, Inc. 4 Topic 2 Performance Assessment 3. Explain how you chose your routes. Topic 2 1/29/08 2:12:13 PM Name Topic 2 Performance Assessment A summer camp needs help planning transportation routes so that 25 campers have rides to camp every day. Van A, Van B, Van C, and Van D can each hold 5 campers. The minibus can hold 8 campers. The map below shows how many campers are in each town. Camp Three Rivers 1 Visalia 5 Farmersville 2 Exeter 2 Ivanhoe 2 Woodlake 2 Lemon Grove 1 Tulare 3 Lindsay 2 Strathmore 1 Porterville 3 Tipton 1 1. Plan a route for each vehicle. See below. 2. Fill in the table below. Remember that all 25 campers need rides to camp. To fill in information about a vehicle, find the row for that vehicle. Then move to the column for the information and write down that information. The total seats column is done for you. Total Seats 5 5 5 5 8 Unoccupied Seats Topic 2 Performance Assessment 3. Explain how you chose your routes. 1 0 0 0 2 Occupied Seats 4 Total 72 Nat_AncTopic_2.indb 72 5 5 6 25 See below. 4. The camp wants to replace the minibus with another van. Is it possible to pick up all the campers with 5 vans and no minibus? How would the routes change if you replaced the minibus with Van E, which also holds 5 campers? See below. 5 © Pearson Education, Inc. 4 Vehicle Name Van A Van B Van C Van D Minibus Topic 2 1/29/08 2:01:27 PM

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