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4.5 multiplying and dividng by powers of 10

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• 4.5 multiplying and dividng by powers of 10

1. 1. 4.5 Multiplying And Dividing by Powers of Ten October 21, 2010
2. 2. What happens when you multiply by powers of ten? Fill in the blanks below (in your notebook). Whole Number Powers of Ten Decimal Powers of Ten 10 x 8.3 = _____ 0.1 x 8.3 = _____ 100 x 8.3 = _____ 0.01 x 8.3 = _____ 1000 x 8.3 = _____ 0.001 x 8.3 = _____ 10,000 x 8.3 = _____ 0.0001 x 8.3 = _____
3. 3. What happens when you multiply by powers of ten? Check your answers (in your notebook). Whole Number Powers of Ten Decimal Powers of Ten 10 x 8.3 = 83 0.1 x 8.3 = 0.83 100 x 8.3 = 830 0.01 x 8.3 = 0.083 1000 x 8.3 = 8,300 0.001 x 8.3 = 0.0083 10000 x 8.3 = 83,000 .0001 x 8.3 = .00083
4. 4. Multiplying by Powers of Ten
5. 5. Multiplying by Powers of Ten ***Copy this in your notebook:
6. 6. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by whole number powers of 10: Move the decimal point one place to the right for each zero in the whole number power 10.
7. 7. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by whole number powers of 10: Move the decimal point one place to the right for each zero in the whole number power 10. Numbers 3.995 x 100 = 3.99.5
8. 8. Multiplying by Powers of Ten
9. 9. Multiplying by Powers of Ten ***Copy this in your notebook:
10. 10. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by decimal number powers of 10: Move the decimal point one place to the left for each zero in the whole number power 10.
11. 11. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by decimal number powers of 10: Move the decimal point one place to the left for each zero in the whole number power 10. Numbers 399.5 x 0.001 = 399.5
12. 12. Try these on your own (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 95.38 x 0.0001
15. 15. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50
16. 16. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right.
17. 17. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right. 95.38 x 0.0001 = 0.009538
18. 18. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right. 95.38 x 0.0001 = 0.009538 Move the decimal 4 places to the left.
19. 19. Dividing by Powers of Ten
20. 20. Dividing by Powers of Ten *** Copy this in your notebook.
21. 21. Dividing by Powers of Ten *** Copy this in your notebook. Dividing 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.
22. 22. Dividing by Powers of Ten *** Copy this in your notebook. Dividing 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. 35 ÷ 100 = 0.35. = 0.35
23. 23. Dividing by Powers of Ten
24. 24. Dividing by Powers of Ten *** Copy this in your notebook.
25. 25. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Decimal Number Powers of 10: Move the decimal point one place to the right for each zero in the whole number power of 10.
26. 26. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Decimal Number Powers of 10: Move the decimal point one place to the right for each zero in the whole number power of 10. 35 ÷ 0.001 = 35.00 = 3,500
27. 27. Divide Decimals Using Mental Math (Now you try: in your notebook) • 508.3 ÷ 10 • 508.3 ÷ 0.01
28. 28. Divide Decimals Using Mental Math (Now you try: in your notebook) • 508.3 ÷ 10 = 50.83 Move 1 place to the left. • 508.3 ÷ 0.01 = 50,830 Move 2 places to the right.
29. 29. Try these (show these problems tomorrow with your homework) • 6.07 X 1000 • 153.6 X 0.01 • 42.6 ÷ 100 • 509 ÷ 1000 • 5 ÷ 0.1 • 3.2 ÷ 0.001
30. 30. When you ﬁnish: • You may begin your homework.