Question

How do you write `0.07 * 10^6` in scientific notation?

Answer 1

`7 * 10^4`

Explanation:

A general form number written in exponential form

`a * 10^b`

must have its mantissa, which is the name given to coefficient `a`, in the interval

`1 <= |a| < 10`

Your starting number has its mantissa written as `0.07`. This means that you must use up some of those power of `10` to get it in that interval.

So, you have

`0.07 * 10^6 = 0.7 * 10^5 = 7 * 10^4`

You now have `1 <=7 < 10`, so this is where you stop.

Since the original number had one signifcant figure, its scientific notation version must have one significant figure as well.