How do you convert 0.12011 into scientific form?

1 Answer
Jul 11, 2015

0.12011 = 1.2011 xx 10^-10.12011=1.2011×101

Explanation:

Choose the power of 1010 to make the mantissa a number in the range [1, 10)[1,10) (or (-10, -1](10,1] if it's negative).

Count the number of times you need to multiply or divide the original number by 1010 to find the exponent of 1010. Multiplying or dividing by 1010 boils down to shifting the number one digit to the left or right.

In our case we needed to multiply by 1010 once to bring the mantissa into range, hence the -11 exponent.