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Class 8 Maths MCQ Questions of Rational Numbers with Answers?

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We have given Class 8 Maths MCQ Questions of Rational numbers that will help you in getting ready for your Class 8 exam primarily based totally on the syllabus. The chapter-wise MCQ Questions for Class 8 Maths are given to students to lead them to apprehend every idea and assist them to attain good marks in exams.

Daily Maths practice will assist you to construct conceptual expertise approximately the concern and additionally lets you have a higher knowledge of the concepts. Multiple choice questions for Class 8 Rational numbers with every question which includes 4 answers, out of which one is correct. Students must solve the MCQ Questions of Rational numbers and select the right answer. They also can test their answers here.

Practice MCQ Question for Class 8 Maths chapter-wise

1. 0 is not

(a) a natural number
(b) a whole number
(c) an integer
(d) a rational number

2. The given property a+b = b+a is known as:

(a) Commutative property
(b) Distributive Property
(c) Associative Property
(d) Closure property

3. If a,b and c are whole numbers, then a+(b+c) = (a+b)+c. This property is called

(a) associative property
(b) distributive Property
(c) commutative property
(d) Closure property

4. The additive identity of any rational number is _____.

(a) 0
(b) 1
(c) -1
(d) 2

5. 1 is the multiplicative identity for ........

(a) whole numbers
(b) integers
(c) rational numbers
(d) all of the above

6. The additive inverse of 23 is

(a) -23
(b) 32
(c) -32
(d) all of the above

7. How many rational numbers exist between any two distinct rational numbers?

(a) 2
(b) 3
(c) 11
(d) Infinite number of rational numbers

8. The rational number that does not have a reciprocal is

(a) 0
(b) 1
(c) 4
(d) -4

9. The reciprocal of 2 is

(a) 0
(b) 2-1
(c) 2-2
(d) -2

10. An integer can be:

(a) Only Positive
(b) Only Negative
(c) Both positive and negative
(d) None of the above

11. A rational number can be represented in the form of:

(a) p/q
(b) pq
(c) p+q
(d) p-q

12. The value of 1/2 x 3/5 is equal to:

(a) 1/2
(b) 3/10
(c) 3/5
(d) 2/5

13. The value of (1/2) ÷ (3/5) is equal to:

(a)3/5
(b) 3/10
(c) 6/5
(d) 5/6

14. The associative property is applicable to:

(a) Addition and subtraction
(b) Multiplication and division
(c) Addition and Multiplication
(d) Subtraction and Division

15. What is the sum of 2/3and 4/9?

(a) 6/3
(b) 6/9
(c) 10/9
(d) 10/3

16. What is the product of 2/9 and 3/4?

(a) 1/6
(b) 2/3
(c) 1/9
(d) 1/4

17. How many rational numbers are there in between 3/4 and 1?

(a) 0
(b) 1
(c) 2
(d) Countless

18. What should be subtracted from -2/3 to get -1?

(a) 1/3
(b) -1/3
(c) 2/3
(d) 2/3

19. The value of (-10/3) x (-15/2) x (17/19) x 0 is:

(a) 0
(b) 22.66
(c) 20
(d) 35

20. Which of the following numbers is the decimal form of 1/4

(a) 0.25
(b) -0.25
(c) 2.05
(d) 2.5

21. What number should be subtracted from both the terms of the ratio 15:19 in order to make it 3:4?

(a) 4
(b) 3
(c) 2
(d) 6

22.  ________ is not associative for rational numbers.

(a) Subtraction or Division
(b) Addition or Multiplication
(c) Addition or Division
(d) Multiplication or Division

23. Find the multiplicative inverse of 13.

(a) 13
(b) -13
(c) -1/13
(d) 1/13

24. The sum of the additive inverse and multiplicative inverse of 2 is ____________.

(a) 3/2
(b) -3/2
(c) 1/2
(d) -1/2

25. What is the product of 3/10 and 5/6?

(a) 1/6
(b) 1/3
(c) 2/9
(d) 1/4

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Answer:

 1. Answer: (b) a whole number

Explanation: 0 is not a natural number. It is a whole number. Natural numbers only include positive integers.

2. Answer: (a) Commutative property

Explanation: Commutative property says that the numbers can be added in any order, and you will still get the same answer. a+b = b+a is a clear example of the commutative property.

3. Answer: (a) associative property

Explanation: a+(b+c) = (a+b)+c is associative property of whole numbers.

4. Answer: (a) 0

Explanation: The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back. The number zero is known as the identity element. Then zero(0) is the additive identity of a real number and all rational numbers are real. Hence, 0 is the additive identity of rational numbers.

5.Answer: (d) all of the above

Explanation: We know that whole numbers are a subset of integers which in turn are a subset of rational numbers. Also, 1 is the multiplicative identity for rational numbers because the product of 1 and any rational number is the rational number itself. Thus, 1 is the multiplicative identity for whole numbers, integers, and rational numbers.

6. Answer: (a) -23

Explanation: Additive inverse of 23 will be -23.

7. Answer: (d) Infinite number of rational numbers

Explanation: Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of  p/q
where p and q are integers and \(q\neq0\)

8. Answer: (a) 0

Explanation: The rational number that does not have a reciprocal  0 because reciprocal of 0 is undefined.

9. Answer: (b) 2-1

Explanation: Therefore, the reciprocal of the number 2 is 1/2or 2−1

10. Answer: (c) Both positive and negative

Explanation:  An integer can be both positive and negative as well as zero. i.e. …-3, -2, -1, 0, 1, 2, 3,…

11. Answer: (a) p/q

Explanation:  A rational number can be represented in the form p/q where p and q are integers and q is not equal to zero.

12. Answer: (b) 3/10

Explanation:  1/2 x3/5 

= (1 x 3)/(2 x 5) 

= 3/10

13. Answer: (d) 5/6

Explanation: (1/2) ÷ (3/5)

 = (1/2) x (5/3) 

= (1 x 5)/(2 x 3) 

= 5/6

14. Answer: (c) Addition and Multiplication

Explanation: As per associative property:

A + (B + C) = (A + B) + C

A × (B × C) = (A × B) × C

15. Answer: (c) 10/9

Explanation: 2/3+ 4/9

⇒ 2/3 x (3/3) + 4/9

⇒ 6/9 + 4/9

⇒ 10/9

16. Answer: (a) 1/6

Explanation: The product of 2/9 and 3/4:

⇒ 2/9 x 3/4

⇒ (2 x 3)/(9 x 4)

⇒ (2 x 3)/(3 x 3 x 2 x 2)

By canceling the common terms from numerator and denominator, we get;

⇒ 1/(3×2)

⇒ 1/6

17. Answer: (d) Countless

Explanation: Let us write 3/4 as 30/40 and 1 as 40/40.

Hence the rational numbers between them are:

31/40, 32/40, 33/40, 34/40,35/40,36/40, 37/40, 38/40, 39/40.

There are countless rational numbers between any two rational numbers.

18. Answer: (a) 1/3

Explanation: Let x be subtracted from -2/3.

-2/3 – x = -1

-x = -1 + 2/3

-x = -1/3

x = 1/3

19. Answer: (a) 0

Explanation:  Any number multiplied by zero is equal to zero.

20. Answer: (a) 0.25

Explanation: \(\frac{1}{4}=\frac{1\times25}{4\times25}\)

= 25/100

= 0.25

21. Answer: (b) 3

Explanation: Let the required number be x. 

\(\frac{15-x}{19-x}=\frac{3}{4}\)

60−4x = 57−3x

x = 3

22. Answer: (a) Subtraction or Division

Explanation: subtraction and division are not associative for rational numbers.

23. Answer:(d) 1/13

Explanation: The multiplicative inverse of 13 is (13)1 = \(\frac{1}{13}\)

24.Answer: (b) -3/2

Explanation:  the additive inverse of 2 is −2

the multiplicative inverse of 2 is 1/2

the sum of the additive and the multiplicative inverse is

= -2 + 1/2

= -3/2

25. Answer: (d) 1/4

Explanation: The product of 3 /10 and 5/6:

⇒ 3/10 x 5/6

⇒ (3 x 5)/(10 x 6)

⇒ 15/60

⇒ 1/4

Click here Practice MCQ Question for Rational Numbers Class 8

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