# How do you convert 975000 into scientific notation?

Jul 12, 2015

The number in standard scientific notation is 9.75 × 10^5.

#### 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 $975000$.

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, $975000$ becomes $9.75000$.

The "trailing zeroes" are not significant and can be dropped, so the pre-exponential term is $9.75$.

We moved the decimal place four places, so the exponent is $5$.

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

The exponential part is therefore ${10}^{5}$.

So 975000 = 9.75 × 10^5.