# How do I convert scientific notation to a real number?

Oct 11, 2014

A number in scientific notation is in the form

$a \cdot {10}^{b}$

To convert to a real number, write out $a$ then move the decimal point depending on $b$'s sign.

If $b$ is positive, move the decimal point to the right
If $b$ is negative, move the decimal point to the left

For example,

$1.23 \cdot {10}^{5}$

Moving the decimal point 5 places to the right, we have

$123000$

$4.56 \cdot {10}^{-} 5$

Moving the decimal point 5 places to the left, we have

$0.0000456$