Name Date LESSON Class Problem Solving 4-1 Estimating with Fractions Write the correct answer. 1 2. Jorgé had 53 jugs of apple cider. He 5 used 26 jugs for a party. About how much apple cider does he have left? 1. At the beach, Richard rides the waves on a boogie board that is 2 1 33 feet long. Laura rides a 72-foot surfboard. Estimate the difference in length of the 2 boards. 3 7 3. Sari jogs 24 miles on Monday, 5 36 miles on Wednesday, and 4. Robert’s hand is 28 inches wide. When Robert uses his hand to estimate the width of his desk, he 3 finds that the desk is about 114 hands wide. About how many inches wide is the desk? 1 23 miles on Friday. Estimate her total distance for the week. Choose the letter for the best answer. This table shows the total amount of snow to fall in 5 cities during 2003. 5. About how much snow all together fell in the two cities in Illinois? A 40 inches C 44 inches D 61 inches B 41 inches Snowfall During 2003 City Chicago, IL Indianapolis, IN Marquette, MI Moline, IL Providence, RI Amount of Snow (in.) 6. About how much more snow fell in Providence than in Indianapolis? F 35 inches H 15 inches G 20 inches J 10 inches 2 175 1 44 10 4 1915 4 235 9 58 10 7. Which city had about 11 times as much snow as Chicago? A Indianapolis C Moline D Providence B Marquette 8. About how much more snow fell in Indianapolis than in Moline? H 24 inches F 20 inches G 22 inches J 30 inches Copyright © by Holt, Rinehart and Winston. All rights reserved. 10 Holt Mathematics Problem Solving 4-1 Estimating with Fractions Challenge 4-1 Don’t Underestimate the Answer to a Riddle! LESSON LESSON Write the correct answer. Circle the fractions whose estimated sums, differences products, or quotients equal the given solution. To find the answer to each riddle, write the letters below the circled fractions in order in the blanks. 6 9 7 4 7 1 3 or 45 38 or 1. 8 11 1 10 2 H E 11 M 3 5 I P G 6 6 9 4 2 16 1 or 5 or 7 or 4 5 3. 11 7 10 19 3 19 2 H T Y E 3 1 HIGHER education! What kind of hair does the Atlantic Ocean have? about 9 miles 1 9 5 1 9 or 4 6 or 6 11 4. 3 10 10 12 20 10 W 4 H U 5 1 V about 36 inches Choose the letter for the best answer. A 5. 87 69 or 68 15 1 6 This table shows the total amount of snow to fall in 5 cities during 2003. 1 4 2 6. 23 or 1 13 10 R Y 5 1 3 9 7. 48 or 68 8 10 or 12 10 48 T S T R 1 7 3 11 6 8. 205 or 298 65 or 4 13 U 2 A C 4 7 Amount of Snow (in.) City What can go across the country and still stay in its corner? 175 Indianapolis, IN 44 10 Marquette, MI 1915 1 4 Providence, RI ANSWER: A 7. Which city had about 11 times as much snow as Chicago? A Indianapolis C Moline D Providence B Marquette 4 235 9 58 10 Moline, IL M 6. About how much more snow fell in Providence than in Indianapolis? F 35 inches H 15 inches G 20 inches J 10 inches 2 Chicago, IL 9. 635 85 or 69 7 P 5. About how much snow all together fell in the two cities in Illinois? A 40 inches C 44 inches D 61 inches B 41 inches Snowfall During 2003 T WAVY ANSWER: 4. Robert’s hand is 28 inches wide. When Robert uses his hand to estimate the width of his desk, he 3 finds that the desk is about 114 hands wide. About how many inches wide is the desk? 23 miles on Friday. Estimate her total distance for the week. R 7 3. Sari jogs 24 miles on Monday, 5 36 miles on Wednesday, and S ANSWER: She wanted to get a 1 2 about 2 jugs about 4 feet 6 or 4 1 2. 5 12 8 6 1 2. Jorgé had 53 jugs of apple cider. He 5 used 26 jugs for a party. About how much apple cider does he have left? 1. At the beach, Richard rides the waves on a boogie board that is 2 1 33 feet long. Laura rides a 72-foot surfboard. Estimate the difference in length of the 2 boards. Why did the student go to school in an airplane? 8. About how much more snow fell in Indianapolis than in Moline? H 24 inches F 20 inches G 22 inches J 30 inches K STAMP 9 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Mathematics Reading Strategies 4-1 Analyze Information LESSON Estimate the answers. Then solve the riddle. You can use some easy rules to help you estimate fractions. If the numerator is much smaller than the denominator, round to 0. Fractions Close to 0 If the numerator is about half the value of the 1 denominator, round to 2 . Fractions Close to 1 1 5 2 25 6 13 9 20 6 50 2 12 23 Fractions Close to 1 7 8 23 25 57 60 This can help you estimate sums and differences of fractions. 5 14 16 9 3 8 38 19 1 1 1 2 2 32 2 52 1 1 1 Write close to 0, close to 2, or close to 1 for each fraction. 1 2 close to 13 1. 2 5 9 2. 7 5 close to 0 7 3. 9 close to 1 14 4. 1 6 close to 1 3 5. 2 0 close to 0 1 6. 9 close to 0 7 7. close to 1 9 H 353 4 10 7 T 8 7 29 18 5 S 7 5 318 39 8 E 2 13 25 2 15 I 7 3 9 8 Y 3 6 5 7 F 47 53 A 84 65 L 1 8 157 109 R 2 5 12 6 5 6 1 2 1 12 1 3 25 1 3 26 1 Why are crabs so greedy? T H E Y 5 7 6 12 S H E L L 8 7 6 26 26 1 A R E 3 1 6 F I S H 25 1 2 8 7 . 1 2 15 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Mathematics Puzzles, Twisters & Teasers 4-1 Math Makes Me Crabby! LESSON If the numerator and denominator are close to the same value, round to 1. 10 Copyright © by Holt, Rinehart and Winston. All rights reserved. 11 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Mathematics Copyright © by Holt, Rinehart and Winston. All rights reserved. 102 12 Holt Mathematics Holt Mathematics
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