# NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

**NCERT Solutions for Class 7 Maths 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) \(\frac{-4}{5} \text { and } \frac{-2}{3}\)

(iv) \(\frac{1}{2} \text { and } \frac{2}{3}\)

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 \(\frac{-5}{6}, \frac{-2}{3}, \frac{-1}{2}, \frac{-1}{3} \text { and }-\frac{1}{6}\)

(ii) -2 and -1

Converting each of rational numbers as a denominator 5 + 1 = 6, we have

(iii) \(\frac{-4}{5} \text { and } \frac{-2}{3}\)

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) \(\frac{1}{2} \text { and } \frac{2}{3}\)

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.

\(\frac{7}{3}, \frac{8}{3}, \frac{-4}{3} \text { and } \frac{-5}{3}\) 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:

**Class 7 Maths Chapter 9 Exercise 9.2**