NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Mathematics (Maths) Class 8

Created by: Indu Gupta

Class 8 : NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

The document NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes is a part of the Class 8 Course Mathematics (Maths) Class 8.
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Exercise 12.1 

Question 1: 

Evaluate: 

(i) 3-2

(ii) (-4)-2

(iii) (1/2)-5

Answer 1:

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes  

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes  NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

 

Question 2: 

Simplify and express the result in power notation with positive exponent: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 2: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

 

Question 3: 

Find the value of: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 3: 

(i)
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(ii)
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(iii)
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(iv)
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(v)
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Question 4: 

Evaluate: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 4: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Question 5: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 5: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

 

Question 6: 

Evaluate: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 6: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

= (3-4) = -1

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Question 7: 

Simplify: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes
NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Answer 7: 

(i)

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

   NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(ii) 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Exercise 12.2 

Question 1: 

Express the following numbers in standard form: 

(i) 0.0000000000085 

(ii) 0.00000000000942 

(iii) 6020000000000000 

(iv) 0.00000000837 

(v) 31860000000 

Answer 1: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes  

Question 2: 

Express the following numbers in usual form: 

[i] 3.02 x 10-6

(ii) 4.5x 104

(in) 3 x 10-8

[iv] 1.0001 x 109

(v) 5.8 x 1012

(vi) 3.61492 x106

Answer 2: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

Question 3: 

Express the number appearing in the following statements in standard form: 

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

(ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb. 

(iii) Size of a bacteria is 0.0000005 m. 

(iv) Size of a plant cell is 0.00001275 m. 

(v) Thickness if a thick paper is 0.07 mm. 

Answer 3: 

(i) 1 micron = 1/1000000 = 1/106 = 1 x 10-6 m

[ii] Charge of an electron is 0.00000000000000000016 coulombs.

= 0.00000000000000000016 x 1019 / 1019  = 1.6x10-19 coulomb

[iii] Size of bacteria = 0.0000005 = 5/10000000 = 5x10-7

(iv) Size of a plant cell is 0.00001275 m = 0.00001275 x 105/105 = 1.245 x 10-5 m

(v) Thickness of a tliick paper = 0.07 mm = 7/100 mm = 7/102 = 7 x 10-2 mm

Question 4:

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack? 

Answer 4: 

Thickness of one book = 20 mm

Thickness of 5 books = 20 x 5 = 100 mm

Thickness of one paper = 0.016 mm

Thickness of 5 papers = 0.016 x 5 = 0.08 mm

Total thickness of a stack = 100 + 0.08 = 100.08 mm

NCERT Solutions - Chapter 12: Exponents and Powers, Maths, Class 8 | EduRev Notes

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