Ex.1.1 Q4 Number System Solution - NCERT Maths Class 9

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Question

State whether the following statements are true or false. Give reasons for your answers.

 Video Solution
Number Systems
Ex 1.1 | Question 4

Text Solution

 

(i) Every natural number is a whole number.

Steps:

True, because the set of natural numbers is represented as \(\begin{align}\text{N= {1, 2, 3…….}}\end{align}\) and the set of whole numbers is \(\begin{align}\text{W = {0, 1, 2, 3 ………}. }\end{align}\)We see that every  natural number is present in the set of whole numbers. Also, we can see that the as compared to the set of natural numbers, the set of whole numbers contains just one extra number and that number is \(0\).

(ii) Every integer is a whole number.

Steps:

False. Negative integers are not present in the set of whole numbers.

(iii) Every rational number is a whole number.

Steps:

False. For example \(\begin{align}\,\,\frac{1}{2}\end{align}\) is a rational number, which is not a whole number.

 

  
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