# How do you find the value of 325 x 10^-2?

Oct 2, 2015

It is $3.25$

#### Explanation:

If you have to calculate the value of an expression $a \cdot {10}^{n}$ for an integer value of $n$, the easiest way is to write the value of $a$ as a decimal fraction (adding $.0$ if $a$ is integer) and next move the decimal point $| a |$ places tpo the left if $a < 0$ or to the right if $a > 0$

In this case you have:

$a = 325$, $n = - 2$, so:

1) You write $a$ as a decimal fraction $325.0$
2) $n < 0$, so you move the decimal point 2 places left, so you get $3.250$
3) Finally you can cross out any zeros at the right end of the number to get $3.25$