Question

How do you write 0.0009231 in scientific notation?

Answer 1

It's `9.231*10^-4`.

Explanation:

Recalling fractions notions, we can rewrite this very number as

`(9.2cancel(.)3cancel(.)1)/(10000cancel(0)cancel(0)cancel(0))` which is the same as `9.231/10^4=9.231*1/10^4`

However, we know that, due to a power rule, that states `a^-n=1/a^n`, so:

`9.231*1/10^4=color(green)(9.231*10^-4)`