# How do you convert -52,300,000 into scientific notation?

Jul 12, 2015

The number in standard scientific notation is -5.23× 10^7.

#### 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 $\text{-52,300,000}$.

The negative sign remains unchanged.

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, $\text{-52,300,000}$ becomes $\text{-5.230,0000}$.

The trailing zeroes are not significant, so $\text{-5.230,0000}$ becomes $- 5.23$.

We moved the decimal point seven places, so the exponent is $7$.

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

The exponential part is therefore ${10}^{7}$.

"-52,300,000" = -5.23 × 10^7