How do you convert 725.98 into scientific notation?

Question

1723 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-13T00:07:32

The number in standard scientific notation is #7.2598 × 10^2#.

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 #725.98#.

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, #725.98# becomes #7.2598#.

We moved the decimal point two places, so the exponent is #2#.

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

The exponential part is therefore #10^2#.

#725.98 = 7.2598 × 10^2#