# How do you write 9568.19 times 10^3 in standard notation?

Feb 15, 2016

$\text{ } 9.56819 \times {10}^{6}$

#### Explanation:

Given:$\text{ } 9568.19 \times {10}^{3}$

Write $\text{ "9568.19 " as } 9.56819$, but in doing so you have changed its value. However, if we multiply this new value by ${10}^{3}$ we correct it back to the original value.

So if we substitute this back into the original expression we have:

$\text{ } 9.56819 \times {10}^{3} \times {10}^{3}$

$\text{ } 9.56819 \times {10}^{3 + 3}$

$\text{ } 9.56819 \times {10}^{6}$