# Lesson 3: Multiplying and Dividing by Powers of 10

Operations with Decimals and Percentages Unit Plan - Year 5 and Year 6 | Lesson 3 | 60 minutes

A 60 minute lesson in which students will multiply and divide decimals by powers of 10.

## Lesson Plan

### Tuning In

- Revise decimal place value by displaying slide 7 of the
*Operations with Decimals PowerPoint*. Using the number on the slide, ask the students:- How could we make this number 10 times larger? 100 times larger? 1000 times larger?
- How could we make this number 10 times smaller? 100 times smaller? 1000 times smaller?
- Does this method also work when multiplying and dividing whole numbers by powers of 10?

### Teacher Instruction

- Display and discuss the steps involved in multiplying decimal numbers by powers of 10, as outlined on slide 13 of the
*Operations with Decimals PowerPoint*. Display and discuss the annotated example on slide 14. - Display and discuss the steps involved in dividing decimal numbers by powers of 10, as outlined on slide 15. Display and discuss the annotated example on slide 16.

### Guided/Independent Learning

- Display the review questions on slide 17. Monitor and support the students as they individually complete the questions on the slide.
- Display and discuss the answers to the review questions on slide 18. As the students correct their answers, encourage them to raise any queries or concerns.

### Wrapping Up

- Use the
*Multiplying and Dividing by Powers of 10 Activity*on the Flash Maths website to review the content of the lesson.

## Differentiation

### Extending Students

- Provide any fast finishers with the
*Multiplying and Dividing Decimals by Powers of Ten*pages from the*Fractions and Decimals Worksheets - Year 6*and allow the students to complete the questions independently.

### Supporting Students

- Allow less confident students to complete the review questions in a small group with the support of a teacher or teacher aide.

## Resources

#### Common Core State Standards alignment

Grade 5 > Standards for Mathematical Practice > Number & Operations in Base Ten > Understand the place value system > **CCSS.MATH.CONTENT.5.NBT.A.1**

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Grade 5 > Standards for Mathematical Practice > Number & Operations in Base Ten > Understand the place value system > **CCSS.MATH.CONTENT.5.NBT.A.2**

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

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