Question

How to simplify `(3.045times10^5) /( 6.853times10^3)` in scientific notation?

Answer 1

`4.443*10^1`

Explanation:

The expression can be rewritten in two parts as `(3.045/6.853)*(10^5/10^3)`

`(3.045/6.853) ~~0.4443` which in scientific notation should be written as `4.443*10^-1`

The expression then becomes `4.443*(10^-1*10^5/10^3)`

By the rules for exponents the powers of `10` should be added/subtracted to give

`=4.443*(10^5/10^4) =4.443*10^1`