Class 8 Maths Rational Numbers Worksheet — Free Printable PDF
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⭐ MeritMate — Class 8 Maths: Rational Numbers
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. Which of the following is the additive identity for rational numbers?
a) 1
b) -1
c) 0
d) 1/2
Q2. The product of a rational number and its reciprocal is always:
a) 0
b) -1
c) the number itself
d) 1
Q3. Which property is illustrated by the equation 2/3 + 4/5 = 4/5 + 2/3?
a) Associative property of addition
b) Commutative property of addition
c) Distributive property
d) Closure property
Q4. The rational number that does not have a reciprocal is:
a) 1
b) -1
c) 0
d) 1/7
Q5. Between any two rational numbers, the number of rational numbers that exist is:
a) zero
b) one
c) ten
d) infinite
Section B: Fill in the Blanks
Q6. The multiplicative identity for rational numbers is ________.
Q7. The additive inverse of -7/9 is ________.
Q8. Rational numbers are closed under the operations of addition, subtraction and ________.
Q9. The reciprocal of -5/11 is ________.
Q10. The rational number -3/4 lies between ________ and ________ on the number line.
Section C: Short Answer Questions
Q11. Verify that the rational numbers 2/3 and 3/2 are multiplicative inverses of each other.
Q12. Find three rational numbers between 1/4 and 1/2.
Q13. Using the distributive property, solve: 3/5 multiplied by (2/7 + 4/7).
Q14. Represent -3/5 on a number line.
Q15. Solve and simplify: 5/6 + (-2/3) - (-1/6).
⭐ Answer Key
Class 8 · Maths · Rational NumbersAnswer Key
Section A: Multiple Choice Questions
Q1. c) 0
Q2. d) 1
Q3. b) Commutative property of addition
Q4. c) 0
Q5. d) infinite
Section B: Fill in the Blanks
Q6. 1
Q7. 7/9
Q8. multiplication
Q9. -11/5
Q10. -1 and 0
Section C: Short Answer Questions
Q11. Two rational numbers are multiplicative inverses if their product equals 1.
2/3 multiplied by 3/2 = (2 multiplied by 3) divided by (3 multiplied by 2) = 6/6 = 1.
Since the product is 1, the numbers 2/3 and 3/2 are indeed multiplicative inverses of each other.
Q12. To find rational numbers between 1/4 and 1/2, convert to equivalent fractions.
1/4 = 2/8 and 1/2 = 4/8.
Converting further: 1/4 = 4/16 and 1/2 = 8/16.
Three rational numbers between 1/4 and 1/2 are 5/16, 6/16, and 7/16.
Simplified: 5/16, 3/8, and 7/16.
Q13. Using distributive property:
3/5 multiplied by (2/7 + 4/7)
= (3/5 multiplied by 2/7) + (3/5 multiplied by 4/7)
= 6/35 + 12/35
= 18/35.
Q14. To represent -3/5 on a number line, divide the segment between 0 and -1 into 5 equal parts. Each part represents 1/5. Starting from 0 and moving left, mark 3 parts. The third mark to the left of 0 represents -3/5. Place a point there and label it -3/5.
Q15. 5/6 + (-2/3) - (-1/6)
= 5/6 - 2/3 + 1/6
Converting 2/3 to 4/6:
= 5/6 - 4/6 + 1/6
= (5 - 4 + 1)/6
= 2/6
= 1/3.
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