Lesson 22 Divide Whole Numbers by 0.1 and 0.01

- Let’s divide whole numbers by one tenth and one hundredth.

Warm-up Number Talk: Remember Division of Unit Fractions

Find the value of each expression mentally.

$1 \div \frac{1}{10}$
$2 \div \frac{1}{10}$
$1 \div 0.01$
$2 \div 0.01$

Activity 1 Patterns in Dividing by Decimal Units

Problem 1

Find the value of each expression. Explain or show your reasoning. Use a diagram if it is helpful.

$3 \div 0.1$
$3 \div 0.01$
$4 \div 0.1$
$4 \div 0.01$

Problem 2

What patterns do you notice?

Activity 2 Divide Whole Numbers by Decimals

Describe how you can find the value of any whole number divided by 0.1. Use a diagram if it is helpful.
Describe how you can find the value of any whole number divided by 0.01. Use a diagram if it is helpful.

Practice Problem

Problem 1

Find the value of $1 \div 0.01$ . Use the diagram if it is helpful.
Jada says that there are 100 hundredths in 1 so $1 \div 0.01$ is 100. Do you agree with Jada? Show or explain your reasoning.