Question

How do you write `(1.68 times 10^-1) / (3 times 10^4)` in standard form?

Answer 1

You can do this in two ways: First the standard forms and then the division, or the other way around. I prefer the second.

Explanation:

Rules of division: divide the numbers, subtract the 10-powers:

`=1.68/3*10^(-1-4)=0.56*10^-5`

Since the 10-power is negative, we move the decimal point 5 to the left:

`=0.0000056`

The other way would be:
`0.168/30000=` (same answer of course)