# Lesson 10 Ten Times As Much

• Let’s write equations to show the relationship between the digits in multi-digit numbers.

## Warm-up Number Talk: Related Numbers

Find the value of each expression mentally.

## Activity 1 Alike but Not the Same

1. Complete the table with the value of the 8 in each number.

number

value of the 8

180,000

108,000

100,800

100,080

100,008

2. Describe the relationship between the value of the 8 in each number.

3. Write a multiplication or division equation to represent the relationship between the values of the 8 in two different numbers in the table.

## Activity 2 More and More Money

Diego’s class is counting collections of play money during a math class. There are four types of bills: tens, hundreds, thousands, and ten-thousands.

Diego found 9 of each type of bill. He organized each type into a stack, creating four stacks.

## Problem 1

How much money is in each stack of bills?

1. 9 tens

2. 9 hundreds

3. 9 thousands

4. 9 ten-thousands

## Problem 2

Describe the relationship between the values of each stack of bills.

## Problem 3

How is the value of the stack of thousands related to the value of the stack of ten-thousands? Write an equation for that relationship.

## Problem 4

Clare had 21 bills of each type. How much money is in each stack of bills Clare has?

1. 21 tens

2. 21 hundreds

3. 21 thousands

4. 21 ten-thousands

## Problem 5

What is the value of the 2 in each stack of bills?

## Problem 6

How is the value of the 2 in the stack of thousands related to the value of 2 in the stack of ten-thousands? Write an equation for that relationship.

## Problem 1

1. What is the value of the 6 in 65,247?

2. What is the value of the 6 in 16,803?

3. Write multiplication and division equations to represent the relationship between the value of the 6 in 65,247 and the value of the 6 in 16,803.