# How to simplify 3.21 times 10^2 + 1.5 times 10^4 in scientific notation?

Nov 3, 2015

$1.5321 \times {10}^{4}$

#### Explanation:

The secret is to make the powers of 10 the same. In a sense the powers of 10 are the units so you are converting the numbers so that you are adding like for like.

$3.21 \times {10}^{2} = 0.0321 \times {10}^{4}$
Giving:

$\left(0.0321 + 1.5\right) \times {10}^{4}$

$1.5321 \times {10}^{4}$