Divide Decimals by Multiples of 10

Examples, solutions, and lessons to help Grade 5 students learn how to divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.

Common Core Standards: 5.NBT.2, 5.NBT.7

New York State Common Core Math Grade 5, Module 2, Lesson 24

Worksheets for Grade 5

Lesson 24 Application Problem

A long-time runner compiled her training distances in the chart below. Fill in the missing values.

Note: This Application Problem serves as a quick review of multi-digit multiplication and division with double-digit divisors. Students must determine which operation is needed, and the review of whole number division can serve as an anticipatory set for today’s continuation into decimal divisors.

Lesson 24 Concept Development
Problem 1: 54 ÷ 10
Problem 2: 5.4 ÷ 10
Problem 3: 0.54 ÷ 10
Problem 4: 54 ÷ 90
Problem 5: 5.4 ÷ 90
Problem 6: 0.54 ÷ 90
Problem 7: 54 ÷ 900
Problem 8: 5.4 ÷ 900

Use place value reasoning and the first quotient to compute the second quotient. Explain your thought process.
20 polar bears live at the zoo. In four weeks, they eat 9,732.8 pounds of food altogether. Assuming each bear is fed the same amount of food, how much food is used to feed one bear for a week? Round your answer to the nearest pound.

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Lesson 24 Problem Set

1. Divide. Show the division in the right hand column in two steps.
   d. 2.4 ÷ 40 = ______
   h. 0.34 ÷ 20 = ______

Lesson 24 Homework
This video introduces division with decimals. Problems are solved using place value charts to allow for mental problem solving.

1. Divide. Show the division in the right column in two steps.
   a. 1.8 ÷ 6 = 0.3
   b. 1.8 ÷ 60 = (1.8 ÷ 6) ÷ 10 = 0.3 ÷ 10 = 0.03
   c. 2.4 ÷ 8 = _____
   d. 2.4 ÷ 80 = _____

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Lesson 24 Homework

1. Divide. Show the division in the right column in two steps.
   k. 9.45 ÷ 9 =
   l. 9.45 ÷ 900 =
   
2. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.
   a. How many miles did he bike each day? Show your work to explain how you know.
   b. How many miles did he bike over the course of two weeks?

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