Tag: Maths Class 8 RD Sharma Solutions

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

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Find a rational number between -3 and 1.
Solution:

Question 2.
Find any five rational number less than 1.
Solution:

Question 3.
Find four rational numbers between \(\frac { -2 }{ 9 }\) and \(\frac { 5 }{ 9 }\) .
Solution:

Question 4.
Find two rational numbers between \(\frac { 1 }{ 5 }\) and \(\frac { 1 }{ 2 }\) .
Solution:

Question 5.
Find ten rational numbers between \(\frac { 1 }{ 4 }\) and \(\frac { 1 }{ 2 }\) .
Solution:

Question 6.
Find ten rational numbers between \(\frac { -2 }{ 5 }\) and \(\frac { 1 }{ 2 }\) .
Solution:

Question 7.
Find ten rational numbers between \(\frac { 3 }{ 5 }\) and \(\frac { 3 }{ 4 }\) .
Solution:

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

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

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Divide :

Solution:

Question 2.
Find the value and express as a rational number in standard form :

Solution:

Question 3.
The product of two rational numbers is15. If one of the numbers is -10, find the other.
Solution:

Question 4.
The product of two rational numbers is\(\frac { -9 }{ 8 }\) if one of the numbers is \(\frac { -4 }{ 15 }\), find other.
Solution:

Question 5.
By what number should we multiply \(\frac { -1 }{ 6 }\) so that the product may be \(\frac { -23 }{ 9 }\) ?
Solution:

Question 6.
By what number should we multiply \(\frac { -15 }{ 28 }\) so that the product may be \(\frac { -5 }{ 7 }\) ?
Solution:

Question 7.
By what number should we multiply \(\frac { -8 }{ 13 }\) so that the product may be 24 ?
Solution:

Question 8.
Bv what number should \(\frac { -3 }{ 4 }\) multiplied in order to produce \(\frac { 2 }{ 3 }\) ?
Solution:

Question 9.
Find (x +y) + (x – y), if

Solution:

Question 10.
The cost of 7 \(\frac { 2 }{ 3 }\) metres of rope is Rs 12 \(\frac { 3 }{ 4 }\).Find its cost per metre.
Solution:

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:

Question 12.
By what number should \(\frac { -33 }{ 16 }\) be divided to get \(\frac { -11 }{ 4 }\) ?
Solution:

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:

Question 14.
Divide the sum of \(\frac { 65 }{ 12 }\) and \(\frac { 12 }{ 7 }\) bv their difference.
Solution:

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:

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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RD Sharma Class 8 Solutions Chapter 2 Powers MCQS

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

Other Exercises

• RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.1
• RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.2
• RD Sharma Class 8 Solutions Chapter 2 Powers Ex 2.3
• RD Sharma Class 8 Solutions Chapter 2 Powers MCQS

Choose the correct alternative in each of the following :

Question 1.
Square of \(\left( \frac { -2 }{ 3 } \right)\)

Solution:

Question 2.
Cube of \(\frac { -1 }{ 2 }\) is

Solution:

Question 3.
Which of the following is not equal to

Solution:

Question 4.
Which of the following in not reciprocal of

Solution:

Question 5.
Which of the following numbers is not equal to \(\frac { -8 }{ 27 }\) ?

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.
For any two non-zero rational numbers a and b,a⁴+b⁴ is equal to
(a) (a + b)¹ 
(b) (a + b)⁰
(c) (a + b)⁴
(d) (a + b)⁸
Solution:
(c) {∵ a⁴ + b⁴ = (a + b)⁴}

Question 16.
For any two rational numbers a and b, a⁵ x b⁵ is equal to
(a) (a x b)⁰
(b) (a x b)¹⁰
(c) (a x b)⁵
(d) (a x b)²⁵
Solution:
(c) {∵ a⁵ x b⁵ = (a x b)⁵}

Question 17.
For a non-zero rational number a, a⁷ + a¹² is equal to
(a) a⁵
(b) a^-19
(c) a-⁵
(d) a¹⁹
Solution:
(c) {a⁵ a¹² = a^7-12 =a^-5}

Question 18.
For a non-zero rational number a, (a³)^-2 is equal to
(a) a⁶
(b) a^-6
(c) a^-9
(d) a¹
Solution:
(b) {(a³)^-2 = a^{3 x (-2)}= a⁶}

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

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5

Other Exercises

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Multiply:

Solution:

Question 2.
Multiply:

Solution:

Question 3.
Simplify each of the following and express the result as a rational number in standard form :

Solution:

Question 4.
Simplify :


Solution:

Question 5.
Simplify :

Solution:

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4

Other Exercises

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Simplify each of the following and write as a rational number of the form :

Solution:

Question 2.
Express each of the following as a rational number of the form \(\frac { p }{ q }\):


Solution:

Question 3.
Simplify :

Solution:

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3

Other Exercises

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Subtract the first rational number from the second in each of the following :



Solution:

Question 2.
Evaluate each of the following :

Solution:

Question 3.
The sum of two numbers is \(\frac { 5 }{ 9 }\). If one of the numbers is \(\frac { 1 }{ 3 }\), find the other.
Solution:

Question 4.
The sum of two numbers is \(\frac { -1 }{ 3 }\). If one of the numbers is \(\frac { -12 }{ 3 }\), find the other.
Solution:

Question 5.
The sum of two numbers is \(\frac { -4 }{ 3 }\). If one of the number is -5, find the
Solution:

Question 6.
The sum of two rational numbers is -8. If one of the numbers is \(\frac { -15 }{ 7 }\) find the other.
Solution:

Question 7.
What should be added to so as to \(\frac { -7 }{ 8 }\) get \(\frac { 5 }{ 9 }\) ?
Solution:

Question 8.
What number should be added to \(\frac { -5 }{ 11 }\) so as to get \(\frac { 26 }{ 3 }\) ?
Solution:

Question 9.
What number should be added to \(\frac { -5 }{ 7 }\) to get \(\frac { -2 }{ 3 }\) ?
Solution:

Question 10.
What number should be subtracted from \(\frac { -5 }{ 3 }\) to get \(\frac { 5 }{ 6 }\) ?
Solution:

Question 11.
What number should be subtracted from \(\frac { 3 }{ 7 }\) to get \(\frac { 5 }{ 4 }\) ?
Solution:

Question 12.
What should be added to \(\left( \frac { 2 }{ 3 } +\frac { 3 }{ 5 } \right)\) to get \(\frac { -12 }{ 15 }\) ?
Solution:

Question 13.
What should be added to \(\left( \frac { 1 }{ 2 } +\frac { 1 }{ 3 } +\frac { 1 }{ 5 } \right)\) to get 3 ?
Solution:

Question 14.
What should be subtracted from \(\left( \frac { 3 }{ 4 } -\frac { 2 }{ 3 } \right)\) to get \(\frac { -1 }{ 6 }\) ?
Solution:

Question 15.
Fill in the blanks :

Solution:

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2

Other Exercises

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Verify commutativity of addition of rational numbers for each of the following pairs of rational numbers :

Solution:

Question 2.
Verify associativity of addition of rational numbers i.e., (A: + y) + z = x + (y + z), when :

Solution:

Question 3.
Write the additive inverse of each of the following rational numbers :

Solution:

Question 4.
Write the negative (additive inverse) of each of the following :

Solution:

Question 5.
Using commutativity and associativity of addition of rational numbers, express ‘iach of the following as a rational number :

Solution:

Question 6.
Re-arrange suitably and find the sum in each of the following :


Solution:

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2 are helpful to complete your math homework.

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RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1

Other Exercises

• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.2
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.3
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.4
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.7
• RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.8

Question 1.
Add the following rational numbers:

Solution:

Question 2.
Add the following rational numbers:

Solution:

Question 3.
Simplify:

Solution:

Question 4.
Add and Express the sum as mixed fraction:

Solution:

 

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.1 are helpful to complete your math homework.

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