Dolly Robinson

2021-02-01

For each set of numbers,  list the
a) natural Numbers
b) whole numbers
c) integers
d) rational numbers
e) irrational numbers
f) real numbers
$\left\{-6,\sqrt{23},21,5.62,0.4,3\frac{2}{9},0,-\frac{7}{8},2.074816\dots \right\}$

Bentley Leach

a) Natural numbers:
The numbers that are used for counting are called natural numbers i.e. 1,2,3,…
And is represented by N. From the given set of numbers, natural numbers are: 21
b) Whole numbers:
Natural numbers along with 0 together are called the whole numbers i.e. 0,1,2,3…
And is represented by W. From the given set of numbers, whole numbers are: 21,0
c) Whole numbers along with negative numbers are called the integers i.e. …-3,-2,-1,0,1,2,3…
And is represented by Z. From the given set of numbers, integers are: -6, 21, 0
d) Rational Numbers:
The numbers that can be expressed in the form of $\frac{p}{q}$ are called the rational numbers and are represented by Q. This includes natural numbers, whole numbers and integers.
From the given set of numbers, rational numbers are: $-5,21,5.62,0.4,3\frac{2}{3},0,-\frac{7}{8}$
e) Irrational Numbers:
The numbers that cannot be expressed in the form of $\frac{p}{q}$ are called the irrational numbers and are represented by Q.

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