Question

How do you calculate `(8.887 times 10^1) /( 9.1 times 10^-2)`?

Answer 1

Scientific: `8.887/9.1xx10^3` as an exact value

Divided and rounded as scientific
`0.9766xx10^3->9.766xx10^2` to 3 decimal places

Explanation:

Given:`(8.887xx10^1)/(9.1xx10^(-2))`

Note that `10^1 = 10`

We also have `1/10^(-2)` This means that the ten is moved to the numerator giving: `1/(10^(-2))=10^2`

Write as: `(8.887xx10xx10^2)/9.1`

`8.887/9.1xx10^3`

The question does not state if the solution is required in scientific form or decimal. It is usual practice to use the same format as the question unless instructed otherwise.

I suspect that `8.887-:9.1` is an irrational number in that the decimal never stops. So a decimal solution would have to be rounded. Whereas `(8.887xx10^3)/9.1` is an exact value