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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 to5²
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