Question

How do you simplify `2.6/0.05`?

Answer 1

The answer is 52.

Explanation:

The easiest way is to use a calculator.

`2.6/0.05=2.6-:0.05=52`

Answer 2

52

Explanation:

A slightly different approach.

If we multiply 0.05 by 100 ( This effectively moves the decimal point 2 places to the right) we obtain the whole number 5, which hopefully is 'easier' to divide by.
However we must also multiply the numerator by 100.

`rArr2.6/0.05xxcolor(red)(100/100)=260/5=cancel(260)^(52)/cancel(5)^1=52`