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Multiplying and Dividing Decimals By Powers of 10.

Multiplying and Dividing Decimals By Powers of 10. Multiplying by Powers of 10. Warm-up. 5.3 x 9 =47.7 7.2 ÷ 0.4=18 7 x 8.39 =58.73 0.006 ÷ 0.3 =0.02 9.7 x 0.8 =7.76 1.8 x 1.23 =2.214 2.9 x 0.06= 0.174 90.3 ÷ 6=15.05 246.5 ÷ .2465=1000. Practice it. Multiplying by 10.

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Multiplying and Dividing Decimals By Powers of 10.

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  1. Multiplying and Dividing Decimals By Powers of 10. CONFIDENTIAL

  2. Multiplying by Powers of 10 CONFIDENTIAL

  3. Warm-up • 5.3 x 9 =47.7 7.2 ÷ 0.4=18 • 7 x 8.39 =58.73 0.006 ÷ 0.3 =0.02 • 9.7 x 0.8 =7.76 • 1.8 x 1.23 =2.214 • 2.9 x 0.06= 0.174 • 90.3 ÷ 6=15.05 • 246.5 ÷ .2465=1000 Practice it CONFIDENTIAL

  4. Multiplying by 10 • Multiplying by 10 moves the decimal point one place to the right. CONFIDENTIAL

  5. Examples 0 . 3 89 • 10 x 0.389 = 03.89 • 10 x 3.89 = 38.9 • 10 x 38.9 = 389 3. 8 9 38. 9 CONFIDENTIAL

  6. Problems Look for a pattern. Watch the decimal points. • 10 x 5.623 =56.23 • 0.1 x 10 =1 • 0.001 x 10 =0.01 • 0.01 x 10 =0.1 • 7.8 x 10 =78 • 28.256 x 10 =282.56 • 19.52 x 10=195.2 CONFIDENTIAL

  7. Multiplying by 100 • Multiplying by 100 moves the decimal point two places to the right. CONFIDENTIAL

  8. Examples 0. 79 5 • 100 x 0.795 = 79.5 • 100 x 7.95 = 795 • 100 x 79.5 = 7950 7. 95 79.50 Extra zero CONFIDENTIAL

  9. LET’S PRACTICE • O.2 X 100 =20 • 0.02 X 100 =2 • 0.002 X 100 =0.2 • 7.8 X 100 =780 • 19.52 X 100 =1952 • 28.256 X 100 =2825.6 CONFIDENTIAL

  10. MULTIPLYING BY 1000 • MULTIPLYING BY 1000 MOVES THE DECIMAL POINT THREE PLACES TO THE RIGHT. CONFIDENTIAL

  11. EXAMPLES: 2. 3 5 9 • 1000 X 2.359 = 2359 • 1000 X 23.59 = 23590 23. 590 EXTRA ZERO CONFIDENTIAL

  12. PROBLEMS • 28.256 X 1000 =28,256 • 19.52 X 1000 =19520 • 7.8 X 1000 =7800 • 0.3 X 1000 =300 • 0.03 X 1000 =30 • 0.003 X 1000=3 CONFIDENTIAL

  13. Break CONFIDENTIAL

  14. DIVIDING BY POWERS OF 10 CONFIDENTIAL

  15. DIVISION BY 10, 100, 1000 CONFIDENTIAL

  16. EXAMPLES 321.5 • 321.5 ÷ 10 = 32.15 • 321.5 ÷ 100 = 3.215 • 321.5 ÷ 1000 = 0.3215 321.5 321.5 CONFIDENTIAL

  17. Problems • 4 ÷ 10 =0.4 • 2.35 ÷ 100=0.02350 • 0.288 ÷ 100 =0.00288 • 357 ÷ 1000 =0.357 • 243 ÷ 100000 =0.00243 • 6.3 ÷ 10=0.63 CONFIDENTIAL

  18. Just try this!!! http://www.jigzone.com/puzzles/A7055D506E99?z=10 CONFIDENTIAL

  19. Mixed Practice • 4.35 ÷ 100=0.0435 • 21.5 ÷ 10 =2.15 • 8.79 ÷ 10000=0.000879 • 0.0594 ÷ 1000=0.0000594 • 0.27222÷10000=.000027222 • 5.3 x 100 =530 • 0.84 x 10 =8.4 • 17.42 x 1000 =17420 • 1.235 x 100000 =123500 • 0.00007 x 1000000 =70 CONFIDENTIAL

  20. Review • Multiplying by powers of 10 shifts the decimal places to the right of the decimal in the question according to the number of zeroes in the powers of 10. • Dividing by powers of 10 moves the decimal places to the left of the decimal in the question according to the number of zeroes in the powers of 10. CONFIDENTIAL

  21. Good Work CONFIDENTIAL

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