Lesson 10 Place Value and the Number Line

• Let’s compare methods using the number line.

Warm-up Notice and Wonder: Base-ten and the Number Line

What do you notice? What do you wonder?

Activity 1 Compare Representations

Clare subtracted and represented her work with a base-ten diagram.

1. Write an equation to represent Clare’s work.

2. Represent Clare’s method on the number line.

3. Find the value of .

Show your thinking using a base-ten diagram.

4. Represent how you found the value of on the number line.

Activity 2 On the Number Line

Diego is finding the value of . He says he can count on by tens, then by ones. He used a number line to show what he means.

1. Write an equation to show the sum for Diego’s work.

2. Find the value of .

Represent your thinking on the number line.

3. Find the value of .

Represent your thinking on the number line.

4. Find the value of .

Represent your thinking on the number line.

Problem 1

Find the value of . Represent your thinking on the number line.