NCERT Exercise 9.1 Questions 4 & 5

Rational Numbers 7th Math

NCERT Exercise 9.1 Questions 4 & 5

In this section, we will learn to represent rational numbers on a number line. In the NCERT Exercise 9.1, question numbers 4 (i), (ii), (iii), and (iv) given rational numbers are to be represented on a number line. And in question number (5) rational numbers are to be written for the points denoted on the given number line.

Solution of NCERT Exercise 9.1 Question Number 4 and 5

Question (4) Draw the number line and represent the following rational numbers on it:

(i) 3/4

Solution :

Given, rational number = 3/4

Representation of the given rational number 3/4 on number line.

representation of rational number 3/4 on a number line

This rational number 3/4 will be represented on a number line on the 3rd part between 0 and 1. Since this is a positive rational number, so this will lie right from zero.

Question (4)(ii) ( – 5)/8

Solution :

Given, rational number = ( – 5)/8

Representation of given rational number ( – 5)/8 on number line.

representation of rational number -5/8 on a number line

This given rational number ( – 5)/8 has been represented on the left side from zero on a number line, on the 5th part out of 10 parts, between 0 and – 1. Since this is a negative rational number, so this lies left from zero.

Question (4) (iii) ( – 7)/4

Solution :

Given rational number is ( – 7)/4

( – 7)/4 = – 1 3/4

Representation of given rational number ( – 7)/4 or – 1 3/4 on number line.

representation of rational number -7/4 on a number line

This given rational number ( – 7)/4 has been represented on the left side from zero on a number line, on the 3rd part out of the 4 parts between –1 and –2. Since this is a negative rational number, so this lies left from zero

Question (4) (iv) 7/8

Solution :

Given rational number which is to be represented on a number line = 7/8

Representation of 7/8 on number line.

representation of rational number 7/8 on a number line

The rational number 7/8 has been represented on the right side from zero on a number line, on the 7 part out of 8 parts between 0 and 1. Since this is a negative rational number, so this lies right from zero

Question (5) The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

class 7th math rational numbers solution of NCERT Exercise 9.1 question 5

Solution :

Given, TR = RS = SU and AP = PQ = QB

After observation of given image in the question, it is clear that,

P = 2 1/3 or 7/3

Q = 2 2/3 or 8/3

R = – 1 1/3 or – 4/3

And, S = – 1 2/3 or – 5/3 Answer

Back to 7-math-home

Reference: