Class 8 Exam  >  Class 8 Notes  >  RD Sharma Solutions for Class 8 Mathematics  >  RD Sharma Solutions (Ex.1.3): Rational Numbers

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics PDF Download

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

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(ii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iv) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(v) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(vi) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(vii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(viii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 2: Evaluate each of the following:

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(ii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iv) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(v) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics
(vi) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(vii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(viii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(ix)RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(x) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(xi) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 3: The sum of the two numbers is 5/9.59. If one of the numbers is 1/3,13, find the other.
Answer :

It is given that the sum of two numbers is 5/9, where one of the numbers is 13.Let the other number be x. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 4: The sum of two numbers is -1/3.-13. If one of the numbers is -12/3,-123, find the other.

Answer : It is given that the sum of two numbers is-1/3, where one of the numbers is −12/3.Let the other number be x.

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 5: The sum of two numbers is -4/3.-43. If one of the numbers is −5, find the other.

Answer :

It is given that the sum of two numbers is −4/3, where one of the numbers is −5.Let the other number be x.

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 6: The sum of two rational numbers is −8. If one of the numbers is -15/7,-157, find the other.
Answer :

It is given that the sum of two rational numbers is −8, where one of the numbers is −15/7.Let the other rational number be x. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Therefore,theotherrationalnumberis -41/7. 

Question 7: What should be added to -7/8 so as to get 5/9?

Answer : Let x be added to -7/8 so as to get 5/9.

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 8: What number should be added to -5/11-511 so as to get 26/33 ?

Answer : Let x be added. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 9: What number should be added to -5/7 to get -2/3?

Answer : Let x be added.

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 10: What number should be subtracted from -5/3  to get 5/6?
Answer : Let x be subtracted. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 11:What number should be subtracted from 3/7 to get 5/4?

Answer : Let, x be subtracted. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 12: What should be added to (2/3+3/5) to get −2/15?
Answer :
Let x be added. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 13: What should be added to (1/2+1/3+1/5) to get 3?
Answer :
Let x be added. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 14:What should be subtracted from (3/4−2/3) to get −1/6?
Answer :
Let x be subtracted. 

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Question 15: Fill in the blanks:

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i)  RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics
RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(ii)
RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iii) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

(iv) RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

The document RD Sharma Solutions (Ex.1.3): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
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FAQs on RD Sharma Solutions (Ex.1.3): Rational Numbers - RD Sharma Solutions for Class 8 Mathematics

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. They can be positive, negative, or zero.
2. How do you determine if a number is rational or not?
Ans. To determine if a number is rational, we need to check if it can be written as a fraction. If it can be expressed as a fraction, then it is rational. If not, then it is irrational.
3. Can all fractions be considered as rational numbers?
Ans. Yes, all fractions can be considered as rational numbers. A fraction is defined as the ratio of two integers, and rational numbers are numbers that can be expressed as fractions. Therefore, all fractions are rational numbers.
4. Are whole numbers and integers also rational numbers?
Ans. Yes, whole numbers and integers can also be considered as rational numbers. Whole numbers are a subset of integers, and integers are a subset of rational numbers. Therefore, whole numbers and integers are included in the set of rational numbers.
5. How can rational numbers be represented on a number line?
Ans. Rational numbers can be represented on a number line by placing them at their corresponding positions. For example, if a rational number is 1/2, it would be represented by placing a point halfway between 0 and 1 on the number line. Similarly, other rational numbers can be represented by locating their corresponding fractions on the number line.
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