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- 1. SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.
- 2. Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.
- 3. Rules for Scientific Notation To be in proper scientific notation the number must be written with * a number between 1 and 10 * and multiplied by a power of ten 23 X 105 is not in proper scientific notation. Why?
- 4. Soooo 137,000,000 can be rewritten as 1.37 X 8 10
- 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. Convert these: 1.23 X 105 123,000 6 6.806 X 10 6,806,000
- 7. 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
- 8. In the United States, 15,000,000 households use private wells for their water supply. Write this number in scientific notation. 1.5 X 107
- 9. • The U.S. has a total of 1.2916 X 107 acres of land reserved for state parks. Write this in standard form. 12,916,000 acres
- 10. Why does a Negative Exponent give us a small number? 10000 = 10 x 10 x 10 x 10 = 104 1000 = 10 x 10 x 10 = 103 100 = 10 x 10 = 102 10 = 101 0 1 = 10 Do you see a pattern?
- 11. Sooooo 1 100 1 1000 1 10000 = = = 1 10 1 2 10 = 10-1 1 3 10 = 10-3 1 4 10 = 10-2 = -4 10
- 12. 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
- 13. More Examples 1) 0.0004 2) 3) 4) 5) 4 X 10-4 1.248 X 10-6 .000001248 6.123 X 10-5 .00006123 0.00000306 3.06 X 10-6 0.000892 8.92 X 10-4
- 14. The nucleus of a human cell is about 7 X 10-6 meters in diameter. What is the length in standard notation? .000007
- 15. A ribosome, another part of a cell, is about 0.000000003 of a meter in diameter. Write the length in scientific notation. 3 X 10-9

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