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4.5 Multiplying And
Dividing by Powers
      of Ten
     October 21, 2010
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 = _____
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
Multiplying by
Powers of Ten
Multiplying by
    Powers of Ten
***Copy this in your notebook:
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.
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
Multiplying by
Powers of Ten
Multiplying by
    Powers of Ten
***Copy this in your notebook:
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.
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
Try these on your own (in
      your notebook)


Multiply decimals using mental maths:

0.05 x 1000 =

95.38 x 0.0001
Check your answer (in
   your notebook)
Check your answer (in
     your notebook)

Multiply decimals using mental maths:
Check your answer (in
     your notebook)

Multiply decimals using mental maths:

0.05 x 1000 = 50
Check your answer (in
     your notebook)

Multiply decimals using mental maths:

0.05 x 1000 = 50

Move the decimal 3 places to the right.
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
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.
Dividing by Powers
      of Ten
Dividing by Powers
      of Ten
*** Copy this in your notebook.
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.
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
Dividing by Powers
      of Ten
Dividing by Powers
      of Ten
*** Copy this in your notebook.
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.
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
Divide Decimals Using Mental
     Math (Now you try: in your
             notebook)



•   508.3 ÷ 10

•   508.3 ÷ 0.01
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.
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
When you finish:


•   You may begin your homework.

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Multiplying and Dividing by Powers of Ten

  • 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
  • 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
  • 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.
  • 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
  • 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.

Editor's Notes