# Chapter 9 Rational Numbers

Chapter 9 Rational Numbers

Exercise 9.1
Ex 9.1 Class 7 Maths

Question 1.
List five rational numbers between:
(i) -1 and 0
(ii) -2 and -1
(iii)

(iv)

Solution:
(i) -1 and 0
Converting each of rational numbers as a denominator 5 + 1 = 6, we have

Hence, the required five rational numbers between -1 and 0 are

(ii) -2 and -1
Converting each of rational numbers as a denominator 5 + 1 = 6, we have

(iii)
Converting each of the rational numbers as a denominator 5 × 3 = 15, we have

Since there is only one integer i.e. -11 between -12 and -10, we have to find equivalent rational numbers.

(iv)
Converting each of the rational numbers in their equivalent rational numbers, we have

Ex 9.1 Class 7 Maths

Question 2.
Write four more rational numbers in each of the following patterns:

Solution:

Ex 9.1 Class 7 Maths

Question 3.
Give four rational numbers equivalent to:

Solution:

Ex 9.1 Class 7 Maths

Question 4.
Draw a number line and represent the following rational numbers on it:

Solution:

Ex 9.1 Class 7 Maths

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.

Solution:
Rational numbers represented by P, Q, R and S.
respectlvely.

Ex 9.1 Class 7 Maths

Question 6.
Which of the following pairs represent the same rational number?

Solution:

Ex 9.1 Class 7 Maths

Question 7.
Rewrite the following rational numbers in the simplest form:

Solution:

Ex 9.1 Class 7 Maths

Question 8.
Fill in the boxes with the correct symbol out of >, < and =.

Solution:

Ex 9.1 Class 7 Maths

Question 9.

Which is greater in each of the following:

Solution:

Ex 9.1 Class 7 Maths

Question 10.
Write the following rational numbers in ascending order:

Solution: