List the (a) Whole numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers for the given set of numbers :$-\sqrt{100},-7,-\frac{8}{3},-1,0.77,3\frac{1}{4}$.

The given set of numbers is : $-\sqrt{100},-7,-\frac{8}{3},-1,0.77,3\frac{1}{4}$.

We need to classify them into the categories of (a) Whole numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers.

(a) Whole numbers : zero and all natural numbers which are not fraction or decimal

(b) Integers : The whole numbers that can be positive, negative or zero.

(c) Rational numbers : Numbers that are written as the ratio of two integers, in which the denominator should not be zero.

(d) Irrational numbers : Any number that cannot be written as a fraction of a whole number.

(e) Real numbers : Rational numbers and irrational numbers and all the other numbers except complex numbers is a real number.

(a) Whole numbers : No whole number is present in the given set of numbers.

(b) Integers :$-\sqrt{100},-7,-1$.

(c) Rational numbers :$-\sqrt{100},-7,-1,0.77,3\frac{1}{4}$.

(d) Irrational numbers :$-\frac{8}{3}$.

(e) Real numbers :$-\sqrt{100},-7,-\frac{8}{3},-1,0.77,3\frac{1}{4}$.