4. Scientific Notation
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Move the decimal according to the exponent of 10.
1.85* 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 between numbers in standard notation and scientific notation, move the decimal until there are no trailing zeros. The number of places the decimal moves is the exponent of 10.
Therefore, the scientific notation of 185 000 000 is 1.85* 10^8. Standard Form:& 185 000 000 Scientific notation:& 1.85* 10^8