Question

How do you convert 975000 into scientific notation?

Answer 1

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`.