Question

How do you write `(3.00 times 10^8 m/s) / (5.68 times 10^9 m)` in scientific notation?

Answer 1

The numbers are: `5.2817 times 10^(-2)`
There is something wrong with the 'units' configuration in the question!!

Explanation:

First the numbers:

`3/5.56 = .52817` to 5 dp

write as
`5.2817 times 10^(-1)`

Now look at the indices.

Note that `10^(-1) = 1/10`

`(10^8)/(10 times 10^9)=10^(-2)`

Now look at the units:

`m/s divide m = m/s times 1/m = 1/s`

as it is one over s it is `color(blue)("'per second' ( for each second)")`

Putting it all together:

`5.2817 times 10^(-2) color(red)("(per second?????) that is can't be correct!!")`
You have to have 'some form of unit' per second!!!!

Did you mean `(m/s) divide (m/s) ?`

If so then they all cancel out and you have no units. Just numbers!!