Classifying Real Numbers

-4 is negative and so cannot be a whole or natural number. Because it has no decimal, the most specific classification is an integer.

$$-\left(3\right)^2$$ is equal to -9. -9 is negative and so cannot be a whole or natural number. Because it has no decimal, the most specific classification is an integer.

1,235 is a natural number, it has no decimal and you could count to it, if you had that many items.

$$\sqrt[]{121}$$ is equal to 11. 11 is a natural number, it has no decimal and you could count to it.

$$\sqrt[]{5}$$ is an irrational number, because 5 is not a perfect square. You would get a decimal so it can't be natural, whole, or an integer.

$$\pi$$ is an irrational number, it is a non-terminating and non-repeating decimal. Since it is a decimal it can't be natural, whole, or an integer.

$$11.1256$$ is a rational number, because it is a terminating decimal. You have a decimal so it can't be natural, whole, or an integer.

$$-4.\overline{54}$$ is a rational number, because it is a repeating decimal. You have a decimal so it can't be natural, whole, or an integer.

$$0$$ is a whole number. It is the only whole number that is not a natural number. Remember whole numbers include all natural numbers + zero.