RD Sharma Class 8 Maths Solutions

RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6

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 the property : x x y = y x x by taking :

Solution:

Question 2.
Verify the property : x x (y x z) = (x x y) x z by taking :

Solution:

Question 3.
Verify the property :xx(y + 2) = xxy + x x z by taking :

Solution:

Question 4.
Use the distributivity of multiplication of rational numbers over their addition to simplify :

Solution:

Question 5.
Find the multiplicative inverse (reciprocal) of each of the following rational numbers :


Solution:

Question 6.
Name the property of multiplication of rational numbers illustrated by the following statements :

Solution:

Question 7.
(i) The product of two positive rational numbers is always______.
(ii) The product of a positive rational number and a negative rational number is always________.
(iii) The product of two negative rational numbers is always________.
(iv) The reciprocal of a positive rational number is________.
(v) The reciprocal of a negative rational number is________.
(vi) Zero has reciprocal. The product of a rational number and its reciprocal is______.
(viii) The numbers and are their own reciprocals______.
(ix) If a is reciprocal of b, then the reciprocal of b is______.
(x) The number 0 is the reciprocal of any number______.
(xi) Reciprocal of \(\frac { 1 }{ a }\), a≠ 0 is______.
(xii) (17 x 12)^-1 = 17^-1 x________ .

Solution:
The product of two positive rational numbers is always positive.
(ii) The product of a positive rational number and a negative rational number is always negative.
(iii) The product of two negative rational numbers is always positive.
(iv) The reciprocal of a positive rational number is positive.
(v) The reciprocal of a negative rational number is negative.
(vi) Zero has no reciprocal.
(vii) The product of a rational number and its reciprocal is 1.
(viii)The numbers 1 and -1 are their own reciprocals.
(ix) If a is reciprocal of b, then the reciprocal of b is a.
(x) The number 0 is not the reciprocal of any number.
(xi) Reciprocal of \(\frac { 1 }{ a }\), a≠ 0 is a.
(xii) (17 x 12)^-1 = 17^-1 x________ .

Question 8.
Fill in the blanks :


Solution:
Fill in the blanks :

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.6 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.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.