# How do you write 9,364 in scientific notation?

May 10, 2016

#### Answer:

$9364 = 9.364 \times {10}^{3}$

#### Explanation:

Choose the exponent of $10$ so that when the mantissa is shifted that many places to the right, the resulting value lies in the range $\left[1.0 , 10\right)$.

In our example, we need to divide the mantissa by ${10}^{3}$ to get it into range.