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Features

  • Share base-ten blocks and hundred grids equally, trading a flat or a rod when needed
  • Long division with 1-digit divisors, the point straight up and an estimate first
  • Divide by 2-digit numbers, writing a point and zeros after a whole number
  • Divide by a decimal with jumps on tenths strips and by counting hundredths
  • Multiply and divide by 0.1 and 0.01 as dividing and multiplying by 10 and 100
  • Story problems with money and measurements, and unit prices for the better buy
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Divide a decimal by a whole number with base-ten blocks and hundred grids
  • Use long division with a decimal dividend, the point straight up in the quotient
  • Estimate a quotient with compatible numbers to place the decimal point
  • Divide by 2-digit whole numbers, writing zeros after the point to keep going
  • Divide by tenths and hundredths, and by 0.1 and 0.01
  • Solve money and measurement stories and find the better buy

How to Use This Pack

Five pages on dividing decimals, every answer ending at the hundredths. Page 1 shares base-ten blocks, a flat as one whole: 3.42 ÷ 3 gives each group a flat, a rod and 4 small squares once the extra rod is traded for 10 small squares. Then students shade a hundred grid and split it into equal groups, a color for each. Page 2 is long division by a one-digit number: estimate first (17.36 ÷ 4 is about 16 ÷ 4 = 4), divide, and put the point in the quotient straight above the point in the dividend; then the digits of each quotient are given and an estimate decides where the point goes. Page 3 divides by two-digit numbers, including whole numbers that need a point and zeros written after them (54 ÷ 24 = 2.25), and checks whether someone put the point in the right place. Page 4 divides by a decimal: jumps of 0.3 on tenths strips show 2.4 ÷ 0.3 = 8, and 1.5 ÷ 0.05 is 150 hundredths ÷ 5 hundredths = 30; then times 0.1 is divided by 10, and divided by 0.01 is times 100. Page 5 has money and measurement stories, one and two steps, with an estimate first, and a table of deals where students find what one costs and circle the better buy. Every page starts with a worked example.

In the Classroom

Share real base-ten blocks before page 1: give a group 3 flats, 4 rods and 2 small squares to share among 3, and ask what to do with the rod that is left. On page 2, have students estimate on whiteboards before they divide, then compare the estimate with the quotient. Before page 4, draw three tenths strips on the board and hop along them in jumps of 0.3.

At Home

At the store, compare two sizes of the same thing: a 4-pack for $3.80 or a 6-pack for $5.10. Divide to find what one costs in each, estimate first, and decide together which is the better buy.

Tips for Success

  • Estimate first with numbers that divide easily: 17.36 ÷ 4 is about 16 ÷ 4 = 4
  • In long division, put the point in the quotient straight above the point in the dividend
  • When something is left over, write a zero after the last digit and keep dividing
  • Dividing by a decimal asks how many of it fit: 2.4 ÷ 0.3 is 24 tenths ÷ 3 tenths = 8
  • Times 0.1 is the same as dividing by 10, and dividing by 0.1 is the same as times 10

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 5.NBT.B.7 Do all four operations with decimals to hundredths using models, drawings and place value, and explain how each strategy matches a written method.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Dividing Decimals

5th Grade

Dividing decimals to the hundredths, from sharing base-ten blocks and hundred grids to long division and dividing by tenths and hundredths. Students estimate first, place the decimal point, write zeros to keep dividing, and solve money and measurement stories, including which deal is the better buy.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Base-ten blocks and hundred grids to share, and long division with an estimate first
  • Two-digit divisors, zeros written after the point, and placing the point by estimating
  • Dividing by tenths and hundredths, 0.1 and 0.01, story problems and the better buy
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