How do you write 0.283 x 10^-1 in scientific notation?

1 Answer
Alan P.
Sep 11, 2015

In (normalized) scientific notation
0.283xx10^(-1) = 2.83xx10^(-2)0.283×10−1=2.83×10−2

Explanation:

Normalized scientific notation has one non-zero digit to the left of the decimal point.
Moving the decimal point from 0.2830.283 to 2.832.83 requires that we multiply 0.2830.283 by 10^1101
Equivalently 2.832.83 must be divided by 10^1101 (or multiplied by 10^(-1)10−1) to equal 0.2830.283

So 0.283xx10^(-1) = (2.83xx10^(-1))xx10^(-1)0.283×10−1=(2.83×10−1)×10−1
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