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**REALLY, REALLY SMALL NUMBERS.**

SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

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**Mathematicians are Lazy!!!**

They decided that by using powers of 10, they can create short versions of long numbers.

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**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?

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

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**Using scientific notation, rewrite the following numbers.**

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

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Convert these: 1.23 X , X 106 6,806,000

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Try These 4,000 4 X X 103 2, X 106 6,123, ,000, X 108

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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

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The U.S. has a total of X 107 acres of land reserved for state parks. Write this in standard form. 12,916,000 acres

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**Why does a Negative Exponent give us a small number?**

10000 = 10 x 10 x 10 x 10 = 104 = 10 x 10 x 10 = 103 = 10 x 10 = 102 = 101 1 = 100 Do you see a pattern?

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Sooooo = 10-1 = = 10-2 = = 10-3 = = 10-4

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**Using Scientific Notation, rewrite the following numbers.**

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

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**More Examples 4 X 10-4 2) 1.248 X 10-6 .000001248 3) 6.123 X 10-5**

1) 4 X 10-4 2) X 10-6 3) X 10-5 4) 3.06 X 10-6 5) 8.92 X 10-4

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**.000007 The nucleus of a human cell is about**

7 X 10-6 meters in diameter. What is the length in standard notation?

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**A ribosome, another part of a cell, is about 0**

A ribosome, another part of a cell, is about of a meter in diameter. Write the length in scientific notation. 3 X 10-9

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Scientific Notation for big numbers ex. 123.4 = 1.234 x 10 2 2 places single digit from 1 to 9 power of ten The number of places the decimal shifts determines.

Scientific Notation for big numbers ex. 123.4 = 1.234 x 10 2 2 places single digit from 1 to 9 power of ten The number of places the decimal shifts determines.

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