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Solved CBSE Class 7 Maths Chapter 13 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 7 Maths Chapter 13 Exponents and Powers
1.) Assertion: The exponential form of 10000 is 10^4.
Reason: 10000 = 10 × 10 × 10 × 10 = 10^4
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
2.) Assertion: The exponential form of 125 is 5^3.
Reason: 125 = 5 × 5 × 5 = 53
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
3.) Assertion: (–1)^3 = (–1)
Reason: (–1) raised to any odd power is (–1)
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
4.) Assertion: (–1)^4 = (–1)
Reason: (–1) raised to any even power is (+1).
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
5.) Assertion: 2^2 × 2^3 = 2^2+3 = 2^5
Reason: a^m×b^n=a^m+n
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
6.) Assertion: 5^7×5^8=5^7+8=5^15
Reason: In multiplication if the base is same then sum of exponents.
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
7.) Assertion: 5^8÷5^9=5^8-9=5^(-1)
Reason: in division base is same then subtraction of exponents.
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
8.) Assertion: 8^6÷8^5=8^1
Reason: a^m÷a^n = a^m+n
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is correct but reason is false.
9.) Assertion: 4^6*5^6=(4*5)^6=(20)^6
Reason: a^m*b^m=(ab)^m
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
10.) Assertion: The power of a number says how many times to use the number in a multiplication
Reason: (-7)^3= -243
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
11.) Assertion: An exponent refers to the number of times a number is multiplied by itself
Reason: 0.00003 is equal to 3* 10^(-5)
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
12.) Assertion: -0.006 is equal to 10^-3*5
Reason: n exponent refers to the number of times a number is multiplied by itself.
a) both assertion and reason are correct and reason is correct explanatiofor assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is correct but reason is false.
13.) Assertion: The power of a number says how many times to use the number in a multiplication
Reason: 2^4*2^(-7)+p =2^(4-7+p)=2^0=1when p=0
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
14.) Assertion: product of powers property.
Reason: 5^8*5^-7=5^3
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is true but reason is false.
15.) Assertion: product of division property.
Reason: 7^3/2÷7^4/2= 7^(-1/2)
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
16.) Assertion: The exponential form for 8 × 8 × 8 × 8 taking base as 2 is 2^12.
Reason: (a^m)^n = a^(mn)
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
17.) Assertion: Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form
Reason: the standard form of 5985.3 is 5.9853 × 10^3
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
18.) Assertion: 6^2*(1/6)^2= 1
Reason: a^m*(1/a)^m = 1
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
19.) Assertion: (-7)^2 = (-7) × (-7) = 49
Reason: (-a) ^even number= negative number
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is true but reason is false.
20.) Assertion: (-3)^4 = (-3) × (-3) × (-3) × (-3) = 81
Reason: (-a) ^even number= positive number
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
21.) Assertion: (-5)^5 = (-5) × (-5) × (-5) × (-5) × (-5)= -3125
Reason: (-a)^ odd number = negative number
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
22.) Assertion: (5^21 ÷ 5^13) × 5^7= 5^(21 -13) x 5^7= 5^8 x 5^7
Reason: According to the law of exponents we have a^m ÷ a^n = a^(m-n)
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
23.) Assertion: The multiplicative inverse of 7^-2 is 7^2.
Reason: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion
24.) Assertion: 100^0+20^0+5^0 is equal to 3.
Reason: By exponent law we know: a^0 = 1.
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
25.) Assertion: the value of (2^2 + 3^2 + 4^2)^0=1
Reason: By exponent law, any value raised to the power 0 is equal to 1.
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
26.) Assertion: a quantity representing the power to which a given number is known as exponent.
Reason: 6 is the exponent in 2^6
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
27.) Assertion: a quantity representing the power to which a given number is known as exponent.
Reason: the exponent is 7 in 7^8
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is true but reason is false.
28.) Assertion: If the exponent is 0, then we get 1 as the final result.
Reason: 9^0 = 1
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
29.) Assertion: If the exponent of a base number is one, then the value of the base remains unchanged.
Reason: 9^1 = 9
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
30.) Assertion: If the exponent of a base number is one, then the value of the base remains unchanged.
Reason: 8^3=3
a) both assertion and reason are correct and reason is correct explanation for assertion
b) both assertion and reason are correct but reason is correct explanation for assertion
c) assertion is correct but reason is false
d) both assertion and reason are false
Ans: c) assertion is true but reason is false.