Grade 5 supplement. Set A3 Number & Operations: Estimating to Multiply & Divide. Includes. Skills & Concepts
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1 Grade 5 supplement Set A3 Number & Operations: Estimating to Multiply & Divide Includes Independent Worksheet 1: Using Compatible Numbers to Multiply & Divide A3.1 Independent Worksheet 2: More Multiplication & Division with Compatible Numbers A3.3 Independent Worksheet 3: Reasonable Estimates in Multiplication & Division A3.5 Skills & Concepts H develop and use strategies to estimate the results of multi-digit multiplication and division and judge the reasonableness of such results P1108
2 Bridges in Mathematics Grade 5 Supplement Set A3 Numbers & Operations: Estimating to Multiply & Divide The Math Learning Center, PO Box 12929, Salem, Oregon Tel by The Math Learning Center All rights reserved. Prepared for publication on Macintosh Desktop Publishing system. Printed in the United States of America. P1108 The Math Learning Center grants permission to classroom teachers to reproduce blackline masters in appropriate quantities for their classroom use. Bridges in Mathematics is a standards-based K 5 curriculum that provides a unique blend of concept development and skills practice in the context of problem solving. It incorporates the Number Corner, a collection of daily skill-building activities for students. The Math Learning Center is a nonprofit organization serving the education community. Our mission is to inspire and enable individuals to discover and develop their mathematical confidence and ability. We offer innovative and standards-based professional development, curriculum, materials, and resources to support learning and teaching. To find out more, visit us at
3 name date Set A3 H Independent Worksheet 1 Independent Worksheet Using Compatible Numbers to Multiply & Divide Mathematicians sometimes estimate answers to multiplication and division problems by using compatible numbers. Compatible numbers are numbers that work well together. example 1 A page in my chapter book has 12 words in each line and 32 lines on the page. About how many words on the whole page? Change 12 and 32 to nearby numbers that are easier to multiply in your head. 12 is close to is close to x 30 = 300, so the page has about 300 words. example 2 Mr. Gomez had 396 crayons left over at the end of the year. He s putting them in bags to send home with the kids. He has 20 students in his class. About how many crayons will each student get? Change 396 to a nearby number that is easier to divide by is close to is already a friendly number. You don t always have to change both numbers = 20, so each student will get about 20 crayons. 1 Choose a chapter book from your classroom. Turn to a page in the middle of the book. About how many words do you think there are on the page? To find out, count the number of words in one line. Next, count the number of lines on the page. Record the information: Words in one line Lines on the page 2 Use compatible numbers to estimate the number of words on the page. Show your work. (Continued on back.) Bridges in Mathematics Grade 5 Supplement A3.1
4 Independent Worksheet 1 Using Compatible Numbers to Multiply & Divide (cont.) 3 All the fourth and fifth graders at King School are going on a field trip with their teachers and some parent helpers. In all, there will be 197 people. The bus company plans to use 4 buses. Estimate how many people will ride in each bus. Use compatible numbers to help you. Show your work. 4 Use compatible numbers to estimate the answer to each problem below. To use this estimation strategy, change the actual numbers to nearby numbers that are compatible. The first two are done for you. multiplication example is close to is close to =, 400 so the answer is about. 400 division example is close to is close to =, 10 so the answer is about. 10 a is close to. 29 is close to. =, so the answer is about. b is close to. 9 is close to. =, so the answer is about. c is close to. 19 is close to. =, so the answer is about. d is close to. 9 is close to. =, so the answer is about. A3.2 Bridges in Mathematics Grade 5 Supplement
5 name date Set A3 H Independent Worksheet 2 Independent Worksheet More Multiplication & Division with Compatible Numbers 1 Which 2 numbers in the box could you multiply to come closest to 600? Circle them. Show your thinking Estimate the answers to the following multiplication problems. Use compatible numbers to help. Show your work. The first one is done for you. example is close to. 30 a is close to =, 900 so the answer is about. 900 b c (Continued on back.) Bridges in Mathematics Grade 5 Supplement A3.3
6 Independent Worksheet 2 More Multiplication & Division with Compatible Numbers (cont.) 3 Estimate the answers to the following division problems. Use compatible numbers to help you. Show your work. a About how much does each can of sugar-free soda cost if a case of 24 costs $5.99? b 9 scouts want to split a bag of 262 peanuts equally. About how many peanuts will each of the scouts get? c The scouts in Lincoln City collected 594 cans of food Now they re going to put the cans into bags to take to the Food Bank. If they put 21 cans in each bag, about how many bags of food can they make? A3.4 Bridges in Mathematics Grade 5 Supplement
7 name date Set A3 H Independent Worksheet 3 Independent Worksheet Reasonable Estimates in Multiplication & Division 1 Fill in the bubble in front of the answer that gives a reasonable estimate for each problem. (Hint: Try using compatible numbers to help.) To the right of the problem, use words, numbers and/or pictures to explain why you think it is a reasonable estimate. The first one is done for you. example a is close to is close to x 20 =400, so 400 is the best estimate b d = c = e = (Continued on back.) Bridges in Mathematics Grade 5 Supplement A3.5
8 Independent Worksheet 3 Reasonable Estimates in Multiplication & Division (cont.) 2 Brianna has $9.00. Baseball trading cards cost $0.49 each. She estimates that she will be able to buy about 27 cards with her money. Is this a reasonable estimate? Use words, numbers and/or pictures to explain your answer. A3.6 Bridges in Mathematics Grade 5 Supplement
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