RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers Important Questions and Answers.

Rajasthan Board RBSE Solutions for Class 7 Maths in Hindi Medium & English Medium are part of RBSE Solutions for Class 7. Students can also read RBSE Class 7 Maths Important Questions for exam preparation. Students can also go through RBSE Class 7 Maths Notes to understand and remember the concepts easily. Students can access the data handling class 7 extra questions with answers and get deep explanations provided by our experts.

RBSE Class 7 Maths Chapter 13 Important Questions Exponents and Powers

Multiple Choice Questions

Question 1.
The value of \(\left(\frac{-5}{6}\right)^{0}\) is:
(a) 0
(b) 1
(c) - \(\frac{5}{6}\)
(d) None of these
Answer:
(b) 1

RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

Question 2.
The value of (- 1)15 is :
(a) -15
(b) 1
(c) - 1
(d) None of these
Answer:
(c) - 1

Question 3.
In (- 5)4 base and power respectively are:
(a) 5 and 4
(b) 4 and - 5
(c) - 5 and 4
(d) - 5 and - 4
Answer:
(c) - 5 and 4

Question 4.
5x. 52 is equal to :
(a) 52x
(b) 5x - 2
(c) 5x + 2
(d) 25 + x
Answer:
(c) 5x + 2

Question 5.
Exponential notation of (- 343) is :
(a) 37
(b) 73
(c) (- 7)3
(d) 7- 3
Answer:
(c) (- 7)3

Question 6.
(50 + 30 + 20) is equal to :
(a) 100
(b) 1
(c) 3
(d) 300
Answer:
(c) 3

RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

Question 7.
Standard form of 370.25 is :
(a) 3 × 104
(b) 3.7025 × 102
(c) 3.7025 × 10- 4
(d) 3 × 10- 4
Answer:
(b) 3.7025 × 102

Question 8.
Usual form of 3.07 × 104 is :
(a) 307
(b) 3.07
(c) 30700
(d) None of these
Answer:
(c) 30700

Fill in the Blanks

Question 1.
63 is read as 6 ........................ to power of 3.
Answer:
raised

Question 2.
If a and b are non-zero integers and m is a whole numbers, then am × bm = ..........................
Answer:
(ab)m

RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

Question 3.
\(\frac{32}{243}\) is expressed m power notation as ...............................
Answer:
\(\left(\frac{2}{3}\right)^{5}\)

Question 4.
376 in standard form can be written as 3.76 × ...............................
Answer:
102

Question 5.
Usual form of 3.8 × 105 is ..................................
Answer:
5.380000

State whether True or False

Question 1.
In 25 base is 5 and exponent is 2.
Answer:
False

Question 2.
57 is read as 5 raised to the power 7.
Answer:
True

Question 3.
We use exponents to make large numbers easy to read, understand and compare.
Answer:
True

Question 4.
If a is a non-zero integers and 'm' and 'n' are whole numbers, then (am)n = am + n.
Answer:
False

RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

Question 5.
Standard form of 20,00,000 is 2 × 106.
Answer:
True

Very Short Answer Type Questions

Question 1.
Express each of the following numbers as a product of powers of their prime factors:
(i) 36
Answer:
36 = 2 × 2 × 3 × 3 = 22 × 32

(ii) 675
Answer:
675 = 3 × 3 × 3 × 5 × 5 = 33 × 52

Question 2.
Express each of the following numbers as a product of powers of their prime factors:
(i) 450
Answer:
450 = 2 × 3 × 3 × 5 × 5 = 2 × 32 × 52

(ii) 2800
Answer:
2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7 = 24 × 52 × 7

Question 3.
Express each of the following as a rational number of the form \(\frac{p}{q}\):
(i) \(\left(\frac{3}{7}\right)^{2}\)
Answer:
\(\left(\frac{3}{7}\right)^{2}=\frac{3 \times 3}{7 \times 7}=\frac{9}{49}\)

(ii) \(\left(\frac{7}{9}\right)^{3}\)
Answer:
\(\left(\frac{7}{9}\right)^{3}=\frac{7 \times 7 \times 7}{9 \times 9 \times 9}=\frac{343}{729}\)

Short Answer Type Questions

Question 1.
Write the following numbers in the usual form:
(i) 4.83 × 107
Answer:
4.83 × 107 = 483 × 10(7 - 2)
= 483 × 105 = 4,83,00,000
Since, the decimal point is moved one place to the right.

RBSE Class 7 Maths Important Questions Chapter 13 Exponents and Powers

(ii) 3.21 × 105
Answer:
3.21 × 105 = 321 × 10(5 - 2)
= 321 × 103
= 3,21,000
Since, the decimal point is moved two places to the right.

(iii) 315 × 103
Answer:
3.5 × 103 = 35 × 10(3 - 1)
= 35 × 102 = 3,500
Since, the decimal point is moved one place to the right.

Bhagya
Last Updated on June 16, 2022, 3:16 p.m.
Published June 16, 2022