Question

How to simplify `[1.23 times 10^(11)] times 25` in scientific notation?

Answer 1

`3.075 xx 10^12`

Explanation:

Given: `[1.23 xx 10^11] xx 25`

`[1.23 xx 10^11] xx 25 = 1.23 xx 25 xx 10^11`

`= 30.75 xx 10^11`

Standard form of scientific notation is when there is a decimal to the right of the left-most non-zero number. eg. `1.27 xx 10^4`

When you move the decimal place one place to the left, you add one to the existing exponent.

`30.75 xx 10^11 = 3.075 xx 10^(11+1)`

`= 3.075 xx 10^12`