Multiplying by Powers of 10: Patterns & Decimals

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Multiplying by Powers of 10

What do you already know about multiplying numbers by 10, 100, or 0.1?

Learning Objective

At the end of the lesson you will be able to find patterns in products when multiplying by powers of 10, including whole numbers and decimals.

Starter: What's the Pattern?

Look at these examples: 4 × 10, 4 × 100, 4 × 1,000. What happens to the number each time? Discuss with a partner.

I DO: Multiplying by 10, 0.1, and 0.01

Watch as I multiply 23.5 × 10 and 7 × 0.01 on a place value chart. Notice how the digits move and how the decimal point changes place.

WE DO: Let’s Try Together!

Multiply decimals

Multiply whole numbers

Solve: 6 × 100 and 8 × 0.1. What do you notice about the zeros and decimal point?

Solve: 3.2 × 10 and 4.5 × 0.01. What patterns do you see?

YOU DO: Practice

Try these on your own: 5 × 0.1, 2.7 × 100, 19 × 0.01, 6.3 × 10. Write how the decimal point moved in each.

Plenary: Explain to a Friend!

How does multiplying by powers of 10 move the decimal point? Share your answer with a partner using one example from today’s lesson.

Write down 3 things you learned in this lesson.

Write down 2 things you want to know more about.

Ask 1 question about something you haven't quite understood yet.