Question

Is 47.13 an irrational number?

Answer 1

`47.13 = 4713/100` meaning it is rational.
If it is rational, it cannot be irrational.

Explanation:

`47.13` can be written as `47 13/100` or as an improper fraction as `4713/100`

A rational number is one that CAN be written as a fraction in the form `a/b (b!=0)` , where a and b are both integers.

The fact that we have been able to write `47.13 " as " 4713/100` means it is rational.

Therefore it cannot be irrational.

Rational numbers include all the integers, all the terminating decimals and all the recurring decimals.

Irrational numbers are infinite non-recurring decimals such as `pi, sqrt10, sqrt17, sqrt35`