1. Learning Target:Students will learn the rules for multiplying and dividing powers of ten to help solve multiplication and division problems using mental math.

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3. Multiplying by Powers of TenMultiplying by Whole Number Powers of 10 move the decimal point one place to the right for each zero in the whole number power of 10.Multiplying by Decimal Powers of 10 move the decimal point one place to the left for each decimal place in the decimal power of 10.

4. Multiply the decimals using mental math.0.001 4.532.75 10,000

5. Answers: 0.001 4.530.004532.75 10,00027,500

6. Dividing by Powers of TenDividing by Whole Number Powers of 10 move the decimal point one place to the left for each zero in the whole number power of 10. Dividing by Decimal Powers of 10 move the decimal point one place to the right for each decimal place in the decimal power of 10

7. Divide the decimals using mental math.72.7 / 0.00172.7 / 10,000

8. Answers: 72.7 / 0.00172,70072.7 / 10,0000.00727

9. Find the product or quotient using mental math.6.07 1,000153.6 0.0142.6 / 100509 / 1,0005 / 0.13.2 / 0.001

10. Answers: 6.07 1,000 = 6,070153.6 0.01 = 1.53642.6 / 100 = 0.426509 / 1,000 = 0.5095 / 0.1 = 503.2 / 0.001 = 3,200

11. Can you name the rules for multiplying and dividing powers of ten? Can you then use the rules to help you solve multiplication and division problems using mental math?