# How do you add 4.5 x 10^4 and 3.0 x 10^5?

Apr 2, 2015

You first take them to the same $10$power

$4.5 \cdot {10}^{4} = 0.45 \cdot {10}^{5}$ (one to the left = power up by one)

$0.45 \cdot {10}^{5} + 3.0 \cdot {10}^{5}$
$= \left(0.45 + 3.0\right) \cdot {10}^{5} = 3.45 \cdot {10}^{5}$