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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

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  • 1. 4.5 Multiplying And Dividing by Powers of Ten October 21, 2010
  • 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. 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. Multiplying by Powers of Ten
  • 5. Multiplying by Powers of Ten ***Copy this in your notebook:
  • 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. 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. Multiplying by Powers of Ten
  • 9. Multiplying by Powers of Ten ***Copy this in your notebook:
  • 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. 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. Try these on your own (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 95.38 x 0.0001
  • 13. Check your answer (in your notebook)
  • 14. Check your answer (in your notebook) Multiply decimals using mental maths:
  • 15. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50
  • 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. 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. 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. Dividing by Powers of Ten
  • 20. Dividing by Powers of Ten *** Copy this in your notebook.
  • 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. 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. Dividing by Powers of Ten
  • 24. Dividing by Powers of Ten *** Copy this in your notebook.
  • 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. 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. Divide Decimals Using Mental Math (Now you try: in your notebook) • 508.3 ÷ 10 • 508.3 ÷ 0.01
  • 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. 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. When you finish: • You may begin your homework.