Lesson 25 Divide Decimals by Decimals

- Let’s divide decimals by decimals.

Warm-up Number Talk: Same/Different

Find the value of each expression mentally.

$20 \div 2$
$2 \div 0.2$
$50 \div 2$
$5 \div 0.2$

Activity 1 Dividing by a Tenth and a Hundredth

Problem 1

To find the value of $1.6 \div 0.1$ , Jada drew this diagram.

Two diagrams. Each squares.

Describe how the diagram shows 1.6.
Describe how the diagram shows 16 groups of 1 tenth.
Describe how the diagram shows the value of $1.6 \div 0.1$ .
Describe how the diagram also represents the expression $160 \div 10$ .

Problem 2

Explain how this diagram represents $1.3 \div 0.01$ .
What is the value of $1.3 \div 0.01$ ? Explain or show your reasoning.

Activity 2 Divide Decimals by Decimals

Find the value of each expression. Explain or show your reasoning.

$5 \div 0.1$
$5 \div 0.01$
$0.5 \div 0.1$
$0.5 \div 0.01$
$0.02 \div 0.01$
$1.53 \div 0.01$

Practice Problem

Problem 1

Find the value of each expression. Explain or show your reasoning.

$0.5 \div 0.1$
$0.5 \div 0.01$
$3.5 \div 0.01$