The index or exponent or power of a number shows you how many times to use the number in a multiplication.
Powers of 10 is a useful way of writing down large numbers. Instead of having a number of zeros, you show how many powers of 10 are required to make that many zeros.
102 = 10 x 10 = 100
103 = 10 x 10 x 10 = 1000
In decimal number system powers of ten are used with decimal number, it simply represents number of places to move the decimal point towards right.
Example: 1.457 x 102
Move the decimal point 2 places to right.
Therefore 1.457 x 102 = 145.7
If the power of 10 is negative, then move the decimal point to left.
Example: 12.56 x 10-2
Move the decimal point 2 places to left
Therefore, 12.56 x 10-2 = 0.1256
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