angel052005 angel052005
  • 08-02-2016
  • Mathematics
contestada

How does the exponent of each power of ten correspond with placing a decimal?

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nobrains
nobrains nobrains
  • 08-02-2016
Each power of ten multiplies or divides the number by 10.
A number to the power of 10 multiplies the number by 10.
A number to the power of -10 divides the number by 10.

Multiplying by 10 (to the power of 10) moves the decimal point 1 place to the right.
Dividing by 10 (to the power of -10) moves the decimal point 1 place to the left.

Let's say you have [tex]1 * 10^3[/tex], you move the decimal place 3 places to the right.
For [tex]1*10^-3[/tex] move the decimal 3 places to the left.
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