Lesson 10 Place Value Comparisons (Part 1)

    • Let’s use place value to compare three-digit numbers.

Warm-up Number Talk: Add Tens

Find the value of each expression mentally.

Activity 1 Compare by Place

Problem 1

Who has more? How do you know?

Mai
Base-ten diagram.
Tyler
Base-ten diagram. 2 hundreds. 1 ten. 1 one.

Problem 2

Compare the base-ten diagrams.

Write each value as a three-digit number. Use the symbols , , or  to compare the numbers.

  1. Base-ten diagram. 2 hundreds, 6 tens, 1 one.
    Base-ten diagram. 3 hundreds. 1 ten. 3 ones.

  2. Base-ten diagram. 2 hundreds. 3 tens. 9 ones.
    Base-ten diagram. 1 hundred. 6 tens. 5 ones.

  3. Base-ten diagram. 2 hundreds. 2 tens. 4 ones.
    Base-ten diagram. 1 hundred, 12 tens, 4 ones.

Activity 2 Compare Hundreds, Tens, and Ones

Compare the base-ten diagrams. Write each value as a three-digit number. Use the symbols , , or  to compare the numbers.

  1. Base-ten diagram. 2 hundreds. 8 tens. 3 ones.
    Base-ten diagram. 2 hundreds. 6 tens. 2 ones.

  2. Base-ten diagram. 2 hundreds. 5 ones.
    Base-ten diagram. 2 hundreds. 10 tens. 4 ones.

  3. Base-ten diagram. 3 hundreds. 1 ten. 1 one.
    Base-ten diagram. 3 hundreds. 3 tens. 9 ones.

  4. Base-ten diagram. 3 hundreds. 3 tens. 8 ones.
    Base-ten diagram. 3 hundreds. 3 tens. 6 ones.

  5. In the last problem, how do you know which value was greater?

Practice Problem

Problem 1

Here are diagrams for two numbers.

A
Base-ten diagram. 2 hundreds. 4 tens. 1 one.
B
Base-ten diagram. 2 hundreds. 3 tens. 7 ones.
  1. Which two numbers are pictured in the diagrams.

  2. Which number is larger? How do you know?

  3. Use or to compare the numbers.