# Lesson 5 Expanded Form of Numbers

Let’s represent three-digit numbers as a sum of the value of each digit.

## Warm-up True or False: Value of Digits

Decide if each statement is true or false. Be prepared to explain your reasoning.

## Activity 1 Expressions and Three-digit Numbers

## Problem 1

Andre has 3 hundreds. Tyler has 5 tens. Mai has 7 ones. They want to represent the amount they have using an equation.

Write an expression to represent the sum of their values.

+ +

Write the total value as a three-digit number:

## Problem 2

Write each number as the sum of hundreds, tens, and ones, and as a three-digit number.

Expanded form:

Three-digit number:

Expanded form:

Three-digit number:

Expanded form:

Three-digit number:

Expanded form:

Three-digit number:

## Activity 2 Make It and Expand It

## Problem 1

Roll the number cubes.

Make the largest number possible.

Write it as a three-digit number.

Write it in expanded form.

## Problem 2

Roll the number cubes.

Make the smallest number possible.

Write it as a three-digit number.

Write it in expanded form.

## Problem 3

Roll the number cubes.

Using the same digits, make a number different from your partner’s.

Write it in expanded form.

Write it as a three-digit number.

## Practice Problem

## Problem 1

Represent each sum as a three-digit number.

Represent each number as the sum of hundreds, tens, and ones.

823

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