Lesson 6 Compare Decimals on the Number Line

• Let’s locate and label decimals on number lines.

Warm-up Notice and Wonder: Nested Lines

What do you notice? What do you wonder?

Activity 1 Locate 1 Thousandth

On each number line:

• Label all of the tick marks.

• Locate and label the number 0.001.

Problem 1

Label the tick marks on each number line.

Problem 2

Which of the number lines would you use to compare 0.534 and 0.537? Explain or show your reasoning.

Activity 3 Locate and Compare With Symbols

1. Use the symbol < or > to compare the decimals 0.2 and 0.02. Use the number line to explain or show your thinking.

2. Use the symbol < or > to compare the decimals 0.3 and 0.14. Use the number line to explain or show your thinking.

3. Use the symbol < or > to compare the decimals 0.23 and 0.216. Use the number line to explain or show your thinking.

Problem 1

1. Label the tick marks. Use the number line to explain your reasoning.

2. Which is greater, 0.654 or 0.658? Explain or show your reasoning.