# How do you write 0.0009231 in scientific notation?

Dec 31, 2015

It's $9.231 \cdot {10}^{-} 4$.

#### Explanation:

Recalling fractions notions, we can rewrite this very number as

$\frac{9.2 \cancel{.} 3 \cancel{.} 1}{10000 \cancel{0} \cancel{0} \cancel{0}}$ which is the same as $\frac{9.231}{10} ^ 4 = 9.231 \cdot \frac{1}{10} ^ 4$

However, we know that, due to a power rule, that states ${a}^{-} n = \frac{1}{a} ^ n$, so:

$9.231 \cdot \frac{1}{10} ^ 4 = \textcolor{g r e e n}{9.231 \cdot {10}^{-} 4}$