Big Ideas Math: Modeling Real Life, Grade 8
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6. Scientific Notation
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Exercise 26 Page 353

Move the decimal according to the exponent of 10.

0.0000000385

Practice makes perfect

A number written in scientific notation usually expresses a very large or very small number. It writes the value of that number 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.

3.85* 10^(- 8) In this case, the exponent is negative8. Therefore, we should move the decimal eight places to the left.

The standard form of 3.85* 10^(- 8) is 0.0000000385. Scientific Notation:& 3.85* 10^(- 8) Standard Form:& 0.0000000385