# Number Systems| NCERT Solutions| Class 9

NCERT Solutions of Chapter: Number Systems. NCERT Solutions along with worksheets and notes for Class 9.   (4) State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

Ans-

(i) Every natural number is a whole number.

True, every natural number is a whole number because whole numbers include 0 and other natural numbers.

(ii) Every integer is a whole number.

False, every integer is not a whole number because integers are positive and negative numbers but whole numbers are only positive numbers.

(iii) Every rational number is a whole number.

False, every rational number is not a whole number because rational numbers can be a fraction as 1/2  but whole numbers can not.            Remainder is zero. Hence, it is a terminating decimal expansion.   Remainder never becomes zero. Hence, it is a non-terminating recurring decimal expansion.   Remainder is zero. Hence, it is a terminating decimal expansion.   Remainder never becomes zero. Hence, it is a non-terminating recurring decimal expansion.   Remainder never becomes zero. Hence, it is a non-terminating recurring decimal expansion.   Remainder is zero. Hence, it is a terminating decimal expansion.              Exercise 1.4

(1) Visualise 3.765 on the number line, using successive magnification.

Ans-

Locate 3.765 by using process of successive magnification.

(i) 3.765 is located between 3 and 4. (ii) 3.765 is located between 3.7 and 3.8. (iii) 3.765 is located between 3.764 and 3.766. [Note:- These steps are only to make easy understanding of representation of 3.765 on number line. Solve above question in one step in exam as is showing below-]

(1) Visualise 3.765 on the number line, using successive magnification.

Ans-

Locate 3.765 by using process of successive magnification.

(i) 3.765 is located between 3 and 4.

(ii) 3.765 is located between 3.7 and 3.8.

(iii) 3.765 is located between 3.764 and 3.766.                  Helping Topics

Number Systems

Worksheet Class 9

Exponents and powers

Steps to represent √2 on the number line

Steps to represent √3 on the number line

Steps to represent √3.5 on the number line

Steps to represent √7 on the number line