# How do you simplify and write 2.5 times 10^3 times 520 in scientific notation?

Jul 24, 2016

$1.3 \times {10}^{6}$

#### Explanation:

Lets get rid of the decimal!

Write $2.5 \times {10}^{3} \text{ as } 25 \times {10}^{2}$

Now we have:

$25 \times 520 \times {10}^{2} = 13000 \times {10}^{2}$
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Rather than write the solution straight off I am going to do the following so you can see what the stages are and their relationships.

$\textcolor{b l u e}{\text{All the following have the same value. They just look different!}}$

$13000 \times {10}^{2}$
$1300 \times {10}^{3}$
$130 \times {10}^{4}$
$13 \times {10}^{5}$
$1.3 \times {10}^{6} \leftarrow \text{ This is Scientific notation}$