Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
6. Scientific Notation
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Exercise 9 Page 351

Move the decimal according to the exponent of 10.

12 850

Practice makes perfect

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.

Scientific Notation Standard Notation
5 * 10^(10) 5 0 000 000 000
5 * 10^5 5 00 000
5 * 10^1 5 0
5 * 10^0 5
5 * 10^(- 1) 0.5
5 * 10^(- 5) 0.00005
5 * 10^(- 10) 0.0000000005
To change from scientific notation to standard form, move the decimal of the given number according to the exponent of 10.

1.285* 10^4 In this case, the exponent is positive4, so we should move the decimal four places to the right.

Therefore, the standard form of 1.285* 10^4 is 12 850. Scientific Notation:& 1.285* 10^4 Standard Form:& 12 850