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.

** 10 ^{2} = 10 x 10 = 100**

** 10 ^{3} = 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 10^{2}

Move the decimal point 2 places to right.

Therefore 1.457 x 10^{2} = 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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