9. Understand Scientific Notation
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Move the decimal point after the first nonzero digit.
5.864* 10^8
A number written in scientific notation usually expresses a very large or very small number by writing its value as a product of 10 to some power. Let's look at some examples.
| Standard Notation | Scientific Notation |
|---|---|
| 5 0 000 000 000 | 5 * 10^(10) |
| 5 00 000 | 5 * 10^5 |
| 5 0 | 5 * 10^1 |
| 5 | 5 * 10^0 |
| 0.5 | 5 * 10^(- 1) |
| 0.00005 | 5 * 10^(- 5) |
| 0.0000000005 | 5 * 10^(- 10) |
To change from standard form to scientific notation, move the decimal point until the resulting number is greater than 1 and less than 10. The number of places the decimal moves is the exponent of 10.
Therefore, the scientific notation of 586400000 is 5.864* 10^8. Standard Form:& 586 400 000 Scientific Notation:& 5.864* 10^8