# How do you write 67500 in scientific notation?

May 26, 2018

$6.75 \times {10}^{4}$

#### Explanation:

Scientific notation is a way of writing very big or very numbers as a power of $10$.

It is written in the form $a \times {10}^{n}$ where $a$ is a number between $1 \mathmr{and} 10$ and $n$ is an integer.
There must be only one digit before the decimal point.

$10 , 000 = {10}^{4}$

$67 , 500 = 6.75 \times 10 , 000$

$67 , 500 = 6.75 \times {10}^{4}$

Move the decimal point until there is one digit to the left .
Count how many place holders you moved.

$6 \textcolor{b l u e}{7 , 500} = 6 \textcolor{b l u e}{.7500} \times {10}^{4}$