Question

Draw a master figure of Rational Number in which Natural Number,

Whole Number and integers should be included and then indicate the

denotations of these number properly.​

Answer 1

The Answer

The natural (or counting) numbers are 1,2,3,4,5, etc. There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,...}, is sometimes written N for short.

The whole numbers are the natural numbers together with 0.

(Note: a few textbooks disagree and say the natural numbers include 0.)

The sum of any two natural numbers is also a natural number (for example, 4+2000=2004), and the product of any two natural numbers is a natural number (4×2000=8000). This is not true for subtraction and division, though.

Answer 2

$\huge \rm \: \underline {\underline{number \: \: system}}$

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☞︎︎︎ Natural numbers :

• All counting numbers are known as natural numbers.

1 , 2 , 3 , 4

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☞︎︎︎ Whole numbers :

• All natural numbers including 0 are know as whole numbers.

0 , 1 , 2 , 3

➪ Remark : Every natural number is a whole number.

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☞︎︎︎ Integers :

• Numbers of the form 0 , ( - ) and ( + ) , like - 1 , -2 are called Integers.

➪ Remark : Every whole number is an integer .

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☞︎︎︎ Rational numbers :

• A number of the form p/q where p and q are integers and q $\not =$ 0 is called a rational number .

➪ Remark : Every integer is a rational number.

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