Question

How do you write 0.0000516 in scientific notation?

Answer 1

`5.16xx10^-5`

Explanation:

See how many `0's` there are until you get to the number between `1-10` (in this case `5.16)`, it takes 5 steps from the decimal point.

`-> 5.16xx10^-5` as this is `0.0000516` not `516000`, you use a negative power.

Answer 2

`5.16xx10^-5`

Explanation:

Whenever you move the decimal point `color(blue)(back)` you multiply it with a `color(blue)(10^-n)`; and when you move the decimal point `color(red)(f)color(red)(ront)` then you multiply it with `color(red)(10^n)` where `n` is the number of time you moved the decimal point.
Since, this is the first case, you move the decimal point `5` places back and multiply it with `10^-5`.

Hope this helps :)