RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3

RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3

Other Exercises

Question 1.
Express the following numbers in standard form :
(i) 6020000000000000
(ii) 0.00000000000942
(iii) 0.00000000085
(iv) 846 X 107
(v) 3759 x 10-4
(vi) 0.00072984
(vii) 0.000437 x 104 
(Viii) 4 + 100000
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3 1
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3 2

Question 2.
Write the following numbers in the usual form :
(i) 4.83 x 107
(ii) 3.02 x 10-6
(iii) 4.5 x 104

(iv) 3 x 10-8
(v) 1.0001 x 109
(vi) 5.8 x 102
(vii) 3.61492 x 106
(viii) 3.25 x 10-7
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3 3

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RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2

RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2

Other Exercises

Question 1.
Write each of the following in exponential form :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 1
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 2
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 3

Question 2.
Evaluate :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 4
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 5
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 6

Question 3.
Express each of the following as a rational number in the form \(\frac { p }{ q } :\)
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 7
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 8

Question 4.
Simplify :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 9
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 10

Question 5.
Express each of the following rational numbers with a negative exponent :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 11
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 12

Question 6.
Express each of the following rational numbers with a positive exponent :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 13
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 14

Question 7.
Simplify :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 15
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 16
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 17

Question 8.
By what number should 5-1 be multiplied so that the product may be equal to (-7)-1 ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 18

Question 9.
By what number should \({ \left( \frac { 1 }{ 2 } \right) }^{ -1 }\) be multiplied so that the product may be equal to \({ \left( \frac { -4 }{ 7 } \right) }^{ -1 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 19

Question 10.
By what number should (-15)-1 be divided so that the quotient may be equal to (-5)-1 ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 20

Question 11.
By what number should \({ \left( \frac { 5 }{ 3 } \right) }^{ -2 }\) be multiplied so that the product may be \({ \left( \frac { 7 }{ 3 } \right) }^{ -1 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 21

Question 12.
Find x, if
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 22
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 23
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 24
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 25
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 26

Question 13.
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 27
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 28

Question 14.
Find the value of x for which 52x + 5-3 = 55.
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2 29

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RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1

RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1

Other Exercises

Question 1.
Express each of the following as a rational number of the form \(\frac { p }{ q } ,\) where p and q are integers and q≠ 0 :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 1
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 2

Question 2.
Find the values of each of the following
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 3
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 4
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 5

Question 3.
Find the values of each of the following :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 6
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 7
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 8

Question 4.
Simplify :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 9
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 10

Question 5.
Simplify :
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 11
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 12
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 13

Question 6.
By what number should 5-1 be multiplied so that the product may be equal to(-7)-1 ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 14
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 15

Question 7.
By what number should \({ \left( \frac { 1 }{ 2 } \right) }^{ -1 }\) multiplied so that the product many be equal to \({ \left( \frac { -4 }{ 7 } \right) }^{ -1 }\)
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 16
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 17

Question 8.
By what number should (-15)-1 be divided so that the quotient may be equal to (-5)-1 ?
Solution:
RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 18

Hope given RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Other Exercises

Question 1.
Find a rational number between -3 and 1.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 1

Question 2.
Find any five rational number less than 1.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 2

Question 3.
Find four rational numbers between \(\frac { -2 }{ 9 }\) and \(\frac { 5 }{ 9 }\) .
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 3

Question 4.
Find two rational numbers between \(\frac { 1 }{ 5 }\) and \(\frac { 1 }{ 2 }\) .
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 4

Question 5.
Find ten rational numbers between \(\frac { 1 }{ 4 }\) and \(\frac { 1 }{ 2 }\) .
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 5
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 6

Question 6.
Find ten rational numbers between \(\frac { -2 }{ 5 }\) and \(\frac { 1 }{ 2 }\) .
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 7

Question 7.
Find ten rational numbers between \(\frac { 3 }{ 5 }\) and \(\frac { 3 }{ 4 }\) .
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 8

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7

RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7

Other Exercises

Question 1.
Divide :
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 1
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 2
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 3
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 4

Question 2.
Find the value and express as a rational number in standard form :
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 5
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 6
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 7

Question 3.
The product of two rational numbers is15. If one of the numbers is -10, find the other.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 8

Question 4.
The product of two rational numbers is\(\frac { -9 }{ 8 }\) if one of the numbers is \(\frac { -4 }{ 15 }\), find other.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 9

Question 5.
By what number should we multiply \(\frac { -1 }{ 6 }\) so that the product may be \(\frac { -23 }{ 9 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 10

Question 6.
By what number should we multiply \(\frac { -15 }{ 28 }\) so that the product may be \(\frac { -5 }{ 7 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 11

Question 7.
By what number should we multiply \(\frac { -8 }{ 13 }\) so that the product may be 24 ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 12

Question 8.
Bv what number should \(\frac { -3 }{ 4 }\) multiplied in order to produce \(\frac { 2 }{ 3 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 13
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 14

Question 9.
Find (x +y) + (x – y), if
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 15
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 16
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 17
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 18
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 19

Question 10.
The cost of 7 \(\frac { 2 }{ 3 }\) metres of rope is Rs 12 \(\frac { 3 }{ 4 }\).Find its cost per metre.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 20
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 21

Question 11.
The cost of 2 \(\frac { 1 }{ 3 }\) metres of cloth is Rs. 75 \(\frac { 1 }{ 4 }\)Find the cost of cloth per metre.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 22

Question 12.
By what number should \(\frac { -33 }{ 16 }\) be divided to get \(\frac { -11 }{ 4 }\) ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 23

Question 13.
Divide the sum of \(\frac { -13 }{ 5 }\) and \(\frac { 12 }{ 7 }\) by the product of \(\frac { -31 }{ 7 }\) and \(\frac { -1 }{ 2 }\).
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 24

Question 14.
Divide the sum of \(\frac { 65 }{ 12 }\) and \(\frac { 12 }{ 7 }\) bv their difference.
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 25

Question 15.
If 24 trousers of equal size can be prepared in 54 metres of cloth, what length of cloth is required for each trouser ?
Solution:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 26

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7 are helpful to complete your math homework.

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