Question

List all numbers from the given set that​ are: a. Natural​ numbers, b. Whole​ numbers, c.​ integers, d. Rational​ numbers, e. Irrational​ numbers, f. Real numbers.

Answer 1

The given question is incomplete.

The set of numbers should be : -11, -5/6, 0, 0.75,
`$\sqrt5$`,
`$\pi$`,
`$√(64)$`,

Explanation:

a). Natural numbers : Natural numbers starts form 1 up to positive infinity. They are non negative integers.

The numbers are :
`$√(64)$`

b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.

The numbers are : 0,
`$√(64)$`

c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.

The numbers are : -11, 0,
`$√(64)$`

d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.

The numbers are : -11, -5/6, 0, 0.75,
`$√(64)$`

e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers

The numbers are :
`$\sqrt5, \pi$`

f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.

The numbers are : -11, -5/6, 0, 0.75,
`$\sqrt5$`,
`$\pi$`,
`$√(64)$`,