# How do you simplify 10^2 times 0.23?

Oct 26, 2016

$2.3 \cdot {10}^{1}$

#### Explanation:

First of all, you should have the number that isn't a multiple of ten written first, like so:

$0.23 \cdot {10}^{2}$

Then, actually multiply to get a number.

$0.23 \cdot {10}^{2} = 23$

Then, write the new equation with a number larger than 1, but less than 10, and multiply it by a multiple of ten

$23 = 2.3 \cdot 10 = 2.3 \cdot {10}^{1}$

We use 10^1, as you need to multiply 2.3 by 10 to get 23