Scientific notation (commonly referred to as "standard form" or
"standard index form") is a way of writing numbers that are too big or
too small to be conveniently written in decimal form. Scientific
notation has a number of useful properties and is commonly used in
calculators and by scientists, mathematicians and engineers.
In this practice, you will be converting numbers to and from scientific notation.
| Standard decimal notation | Normalized scientific notation |
|---|---|
| 2 | 2×100 |
| 300 | 3×102 |
| 4,321.768 | 4.321768×103 |
| −53,000 | −5.3×104 |
| 6,720,000,000 | 6.72×109 |
| 0.2 | 2×10−1 |
| 0.000 000 007 51 | 7.51×10−9 |
In this practice, you will be converting numbers to and from scientific notation.
A. Express in correct scientific notation:
1.) 61,500
2.) 0.0000568
3.) 321
4.) 64,960,000
5.) 0.070850
B. Express in correct standard form:
6.) 1.09 x 103
7.) 4.22715 x 108
8.) 3.078 x 10-4
9.)9.004 x 10-2
10.) 5.1874 x 102
10.) 5.1874 x 102
Answers:
1. 6.15 E 4
2. 5.68 E -5
3. 3.21 E 2
4. 6.496 E 7
5. 7.0850 E -2
6. 1,090
7. 422,715,000
8. 0.0003078
9. 0.09004
10. 518.74
source : http://en.wikipedia.org/wiki/Scientific_notation
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