Math Assignment Help With Decimal Numbers Powers of 10

2.6 Powers of 10:

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

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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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