# 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.

## 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.

1. Write an expression to represent the sum of their values.

+ +

2. 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:

## Problem 1

Roll the number cubes.

Make the largest number possible.

1. Write it as a three-digit number.

2. Write it in expanded form.

## Problem 2

Roll the number cubes.

Make the smallest number possible.

1. Write it as a three-digit number.

2. Write it in expanded form.

## Problem 3

Roll the number cubes.

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

1. Write it in expanded form.

2. Write it as a three-digit number.

## Problem 1

1. Represent each sum as a three-digit number.

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

• 823

• 407