# How do you convert 32 into scientific notation?

Jul 12, 2015

The number in standard scientific notation is 3.2 × 10.

#### Explanation:

In scientific notation, numbers are written in the form a × 10^b, where $a$ is the "pre-exponential" part and ${10}^{b}$ is the "exponential part".

Your number in decimal form is $32$.

To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point.

So, $32$ becomes $3.2$.

We moved the decimal point one place, so the exponent is $1$.

We moved the decimal point to the left, so the exponent is positive.

The exponential part is therefore ${10}^{1}$.

The exponent "1" is not usually written, so ${10}^{1} = 10$.

So 32 = 3.2 × 10.