# Lesson 9 Same Digit, Different Value

• Let’s describe the relationship between the digits in multi-digit numbers.

## Warm-up True or False: Expanded Expressions

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

## Problem 1

Your teacher will give you and your partner a set of cards with multi-digit numbers on them.

1. Sort the cards in a way that makes sense to you. Be prepared to explain your reasoning.

2. Join with another group and explain how you sorted your cards.

## Problem 2

Write each number in expanded form.

1. 4,620

2. 46,200

3. 462,000

## Problem 3

Write the value of the 4 in each number.

1. 4,620

2. 46,200

3. 462,000

## Problem 4

Compare the value of the 4 in two of the numbers. Write two statements to describe what you notice about the values.

## Problem 5

How is the value of the 2 in 46,200 related to the value of the 2 in 462,000?

## Activity 2 Expand Large Numbers

1. Express each number in standard form, expanded form, and word form.

number

expanded form

word form

eight hundred three thousand, ninety-nine

nine hundred thirty-four thousand, nine hundred

2. Choose two numbers from the table to make this statement true:

The 3 in  is ten times the value of the 3 in .

3. Explain why you chose those numbers.

4. Find two classmates who chose different numbers than you did. Record their numbers. Take turns sharing your completed statements and explaining your reasoning.

• The 3 in is ten times the value of the 3 in .

• The 3 in is ten times the value of the 3 in .

## Problem 1

1. Write the names of the numbers 702,150, and 73,026 in words.

2. How is the value of the 7 in 702,150 related to the value of the 7 in 73,026?