# How do you simplify and write (2.5 times 10^-3) + (4.6 times 10^-3) in standard notation?

Dec 24, 2016

$0.0071$

#### Explanation:

In this problem the standard term is $\textcolor{red}{{10}^{-} 3}$.

We can factor this term to simplify the problem:

$\left(2.5 \times \textcolor{red}{{10}^{-} 3}\right) + \left(4.6 \times \textcolor{red}{{10}^{-} 3}\right) \to \left(2.5 + 4.6\right) \times \textcolor{red}{{10}^{-} 3} \to$

$7.1 \times \textcolor{red}{{10}^{-} 3}$

Because the exponent for the 10's term is negative we must move the decimal point 3 places to the left to write this in standard notation:

$7.1 \times \textcolor{red}{{10}^{-} 3} \to 0.0071$