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
407