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SCIENTIFIC NOTATION

SCIENTIFIC NOTATION. A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS. Mathematicians are Lazy!!!. They decided that by using powers of 10, they can create short versions of long numbers. Scientific Notation.

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SCIENTIFIC NOTATION

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  1. SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALLNUMBERS.

  2. Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.

  3. Scientific Notation A number is expressed in scientific notation when it is in the form a x 10n where a is from 1 to 9 and n is an integer 23 X 105 is not in proper scientific notation. Why?

  4. Soooo 137,000,000 can be rewritten as 1.37 X 108

  5. Now You Try Using scientific notation, rewrite the following numbers. 347,000. 3.47 X 105 902,000,000. 9.02 X 108 61,400. 6.14 X 104

  6. Try These 4,000 4 X 103 2.48 X 103 2,480 6.123 X 106 6,123,000 306,000,000 3.06 X 108

  7. Your Turn Using Scientific Notation, rewrite the following numbers. 0.000882 8.82 X 10-4 0.00000059 5.9 X 10-7 0.00004 4 X 10-5

  8. More Examples 1) 0.0004 4 X 10-4 2) 1.248 X 10-6 .000001248 3) 6.123 X 10-5 .00006123 4) 0.00000306 3.06 X 10-6 5) 0.000892 8.92 X 10-4

  9. Using your calculator Express 4.58 x 106 in decimal notation. 4,580,000 On the graphing calculator, scientific notation is done with the button. 4.58 x 106 is typed 4.58 6

  10. Use a calculator to evaluate: 4.5 x 10-5 1.6 x 10-2 Type 4.5 -5 1.6 -2 You must include parentheses if you don’t use those buttons!! (4.5 x 10 -5) (1.6 x 10 -2) 0.0028125 Write in scientific notation. 2.8125 x 10-3

  11. Use a calculator to evaluate: 7.2 x 10-9 1.2 x 102On the calculator, the answer is: 6.E -11 The answer in scientific notation is 6 x 10 -11 The answer in decimal notation is 0.00000000006

  12. Use a calculator to evaluate (0.0042)(330,000).On the calculator, the answer is 1386 The answer in decimal notation is 1386. The answer in scientific notation is 1.386 x 103

  13. Use a calculator to evaluate (3,600,000,000)(23).On the calculator, the answer is: 8.28 E +10 The answer in scientific notation is 8.28 x 10 10 The answer in decimal notation is 82,800,000,000

  14. Write in PROPER scientific notation.(Notice the number is not between 1 and 10)234.6 x 109 2.346 x 1011 0.0642 x 104 on calculator: 642 6.42 x 10 2

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