Unit 1 - Objective 5 - Scientific Notation

A number is said to be in scientific notation when it is written as a number whose absolute value is between 1 and 10, multiplied by a power of 10. If you shifted the decimal point n places to the right then multiply by 10n. If you shifted the decimal point n places to the left then multiply by 10-n.

Example:
34,725 = 3.4725·10,000
= 3.4725 · 104
0.034725 = 3.4725 · 0.01 (.01 = 1/100 = 1/102 = 10-2)
= 3.4725 · 10-2

To change a number from scientific notation to ordinary notation you shift the decimal point to the right if n is positive in 10n. You shift the decimal point to the left if n is negative in 10n.

Example:

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