How do you convert 975000 into scientific notation?

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Answer 1 · 2015-07-12T22:37:54

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

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 $975000 = 9.75 × 10^5$ .