### NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1

**Ex 9.1 Class 7 Maths Question 1.**

**List five rational numbers between:**

**(i) -1 and 0**

**(ii) -2 and -1**

**(iii) -4/5 and -2/3**

**(iv) 1/2 and 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 -5/6, -2/3, -1/2, -1/3 and -1/6

(ii) -2 and -1

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

(iii) -4/5 and -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) 1/2 and 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.

7/3, 8/3, -4/3 and -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:**