Assertion and Reason Questions Class 8 Maths Chapter 12 Exponents and Powers

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Solved CBSE Class 8 Maths Chapter 12 Assertion and Reason Questions – Exponents and Powers. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.

Assertion and Reason Questions Class 8 Maths Chapter 12 Exponents and Powers

1.) Assertion (A) – am x an is equal to a(m+n)

Reasons (R) –product of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

2.) Assertion (A) –am ÷ an is equal to is equal toam-n

Reasons (R) –quotient of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

3.) Assertion (A) –(am)n is equal to an-m

Reasons (R) –power of a power property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

4.) Assertion (A) –am × bm is equal to (ab)m

Reasons (R) –power of a product property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

5.) Assertion (A) –a0 is equal to 0

Reasons (R) –zero exponent property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

6.) Assertion (A) – am/bm is  equal to bm (ab)m

Reasons (R) –quotient of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

7.) Assertion (A) –2 × 2 × 2 × 2 × 2 is equal to 25

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

8.) Assertion (A) –In 10², the exponent is 2

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself.

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

9.) Assertion (A) –In 10² the base is 1

Reasons (R) –Base, in math, is defined as the total count of digits used to express numbers in a number system

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

10.) Assertion (A) –10-1 is equal to -1

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

11.) Assertion (A) –The multiplicative inverse of 2-3 is 1

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

12.) Assertion (A) –The multiplicative inverse of 105 is 1

Reasons (R) –The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

13.) Assertion (A) –The multiplicative inverse of 1010 is 1010

Reasons (R) –The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

14.) Assertion (A) –The multiplicative inverse of am is a-m

Reasons (R) –The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

15.) Assertion (A) –5³ × 5-1 is equal to

Reasons (R) – product of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

16.) Assertion (A) –(- 2)-5 x (-2)6 is equal to 2

Reasons (R) –product of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

17.) Assertion (A) –3² × 3-4 × 35 is equal to 3³

Reasons (R) –product of powers property

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

18.) Assertion (A) –(-2)-2 is equal to 1/4

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

19.) Assertion (A) –(1/2)-4 is equal to2-4

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

20.) Assertion (A) –(2° + 4-1) × 2² is equal to 6

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

21.) Assertion (A) –(2-1 + 3-1 + 5-1)0 is equal to 2

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

22.) Assertion (A) –3m + 3-3 = 35  m is equal to 2

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

23.) Assertion (A) –(-2)m+1 × (-2)4 = (-2)6  m = 1

Reasons (R) –The power of a number says how many times to use the number in a multiplication

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

24.) Assertion (A) –(-1)50 is equal to 50

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

25.) Assertion (A) –(-1)51 is equal to 1

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

26.) Assertion (A) –149600000000 is equal to 1.496 × 1011

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

27.) Assertion (A) –300000000 is equal to 3 × 108

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

28.) Assertion (A) –0.000007 is equal to7 × 10-5

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

29.) Assertion (A) –384467000 is equal to3.84467 × 108

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

30.) Assertion (A) –1.5 × 1011 is equal to 150000000000

Reasons (R) –An exponent refers to the number of times a number is multiplied by itself

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

Answers:

1:a         2:a         3:d         4:a         5:d         6:d

7:a         8:a         9:d         10:d       11:d       12:d

13:a       14:a       15:a       16:d       17:a       18:a

19:a       20:d       21:d       22:a       23:a       24:d

25:d       26:a       27:a       28:d       29:d       30:a

Updated: January 29, 2022 — 1:58 pm

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