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

$\{-6,\sqrt{23},21,5.62,0.4,3\frac{2}{9},0,-\frac{7}{8},2.074816\dots \}$

Bentley Leach

Skilled2021-02-02Added 109 answers

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.

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

From the given set of numbers, rational numbers are:

e) Irrational Numbers:

The numbers that cannot be expressed in the form of

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