# 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.

## Activity 1 Card Sort: Large Numbers

## Problem 1

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

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

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

## Problem 2

Write each number in expanded form.

4,620

46,200

462,000

## Problem 3

Write the value of the 4 in each number.

4,620

46,200

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

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

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

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

Explain why you chose those numbers.

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 .

## Practice Problem

## Problem 1

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

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