Class 8 Exam  >  Class 8 Notes  >  RD Sharma Solutions for Class 8 Mathematics  >  RD Sharma Solutions (Ex.1.4): Rational Numbers

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics PDF Download

Question 1: Simplify each of the following and write as a rational number of the form p/q:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i)

 RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

=17/24

(ii) 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -17/18

(iii)

  RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -119/24

(iv) 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -61/31

(v)

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -5/60


= -1/12

(vi)

 RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 5/6

Question 2: Express each of the following as a rational number of the form p/q:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i)

 RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -177/24

= -59/8

(ii) 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 17/63

(iii) 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 235/24

(iv) 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -121/140

(v)

 RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 7/12

Question 3: Simplify:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Answer :

(i) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

-8/4

= -2

(ii) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= -1/6

(iii) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 9/12

= 3/4

(iv) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 33/70

(v) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators:

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 17/30

(vi) RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

Taking the L.C.M.of the denominators: 

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

RD Sharma Solutions (Ex.1.4): Rational Numbers | RD Sharma Solutions for Class 8 Mathematics

= 33/72

= 11/24

The document RD Sharma Solutions (Ex.1.4): 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.1.4): 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 or ratio of two integers. They can be positive or negative, and include numbers such as 1/2, -3/4, and 5/1.
2. How do you add rational numbers?
Ans. To add rational numbers, we need to find a common denominator for the fractions. Once we have a common denominator, we add the numerators and keep the denominator the same. We simplify the fraction if possible.
3. How do you subtract rational numbers?
Ans. To subtract rational numbers, we follow a similar process as addition. We find a common denominator for the fractions, subtract the numerators, and keep the denominator the same. We simplify the fraction if possible.
4. Can rational numbers be negative?
Ans. Yes, rational numbers can be negative. A rational number can be written in the form a/b, where a and b are integers and b is not equal to zero. The sign of a rational number is determined by the sign of the numerator.
5. How do you compare rational numbers?
Ans. To compare rational numbers, we can convert them to a common denominator and then compare the numerators. If the numerators are the same, we compare the denominators. The rational number with the greater numerator or smaller denominator is considered greater.
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