## 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:

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:

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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

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 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

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

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

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

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

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

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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