Table of Contents
Extra Questions with Solutions
1. Find three rational numbers equivalent to:
(a) -2/5
Multiplying both numerator and denominator by 2, 3, and 4:
– (-4/10), (-6/15), (-8/20)
(b) 3/7
Multiplying both numerator and denominator by 2, 3, and 4:
– (6/14), (9/21), (12/28)
2. Reduce the following rational numbers to their standard form:
(a) 35/-15
GCD of 35 and 15 is 5. Simplified form: -7/3
(b) -36/-216
GCD of 36 and 216 is 36. Simplified form: 1/6
3. Represent the following rational numbers on the number line:
(a) 3/2
Convert to decimal: 3/2 = 1.5. Mark 1.5 between 1 and 2 on the number line.
(b) -3/4
Convert to decimal: -3/4 = -0.75. Mark -0.75 between 0 and -1 on the number line.
4. Compare and state which is greater:
(a) 3/4 and 1/2
Convert to decimal: 3/4 = 0.75, 1/2 = 0.5. Hence, 3/4 is greater.
(b) -3/2 and -3/4
Convert to decimal: -3/2 = -1.5, -3/4 = -0.75. Hence, -3/4 is greater.
5. Find the sum:
(a) 2/5 + 3/7
LCM of 5 and 7 is 35.
(14/35) + (15/35) = 29/35
(b) -4/9 + 5/12
LCM of 9 and 12 is 36.
(-16/36) + (15/36) = -1/36
6. Subtract:
(a) 3/5 – 7/10
LCM of 5 and 10 is 10.
(6/10) – (7/10) = -1/10
(b) -2/3 – 4/9
LCM of 3 and 9 is 9.
(-6/9) – (4/9) = -10/9
More questions can be added based on the topic.
Class 7 Maths Chapter 9: Rational Numbers
Extra Questions with Solutions
1. Find three rational numbers equivalent to:
(a) -2/5
Multiplying both numerator and denominator by 2, 3, and 4:
– (-4/10), (-6/15), (-8/20)
(b) 3/7
Multiplying both numerator and denominator by 2, 3, and 4:
– (6/14), (9/21), (12/28)
2. Reduce the following rational numbers to their standard form:
(a) 35/-15
GCD of 35 and 15 is 5. Simplified form: -7/3
(b) -36/-216
GCD of 36 and 216 is 36. Simplified form: 1/6
3. Represent the following rational numbers on the number line:
(a) 3/2
Convert to decimal: 3/2 = 1.5. Mark 1.5 between 1 and 2 on the number line.
(b) -3/4
Convert to decimal: -3/4 = -0.75. Mark -0.75 between 0 and -1 on the number line.
4. Compare and state which is greater:
(a) 3/4 and 1/2
Convert to decimal: 3/4 = 0.75, 1/2 = 0.5. Hence, 3/4 is greater.
(b) -3/2 and -3/4
Convert to decimal: -3/2 = -1.5, -3/4 = -0.75. Hence, -3/4 is greater.
5. Find the sum:
(a) 2/5 + 3/7
LCM of 5 and 7 is 35.
(14/35) + (15/35) = 29/35
(b) -4/9 + 5/12
LCM of 9 and 12 is 36.
(-16/36) + (15/36) = -1/36
6. Subtract:
(a) 3/5 – 7/10
LCM of 5 and 10 is 10.
(6/10) – (7/10) = -1/10
(b) -2/3 – 4/9
LCM of 3 and 9 is 9.
(-6/9) – (4/9) = -10/9
7. Multiply:
(a) 2/3 × 4/5
(2 × 4) / (3 × 5) = 8/15
(b) -7/9 × 3/4
(-7 × 3) / (9 × 4) = -21/36 = -7/12
8. Divide:
(a) 5/6 ÷ 2/3
(5/6) ÷ (2/3) = (5/6) × (3/2) = (5 × 3) / (6 × 2) = 15/12 = 5/4
(b) -3/8 ÷ 9/10
(-3/8) ÷ (9/10) = (-3/8) × (10/9) = (-3 × 10) / (8 × 9) = -30/72 = -5/12
More questions can be added based on the topic.
