Class 7 Exam  >  Class 7 Notes  >  RD Sharma Solutions for Class 7 Mathematics  >  RD Sharma Solutions - Ex-5.2, Operations On Rational Numbers, Class 7, Math

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics PDF Download

Q1. Subtract the first rational number from the second in each of the following:

Solution. 

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Q2. Evaluate each of the following:

Solution. 

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 3 and 5 is 15
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 3 and 7 is 21
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Q3. The sum of the two numbers is 5/9. If one of the numbers is 1/3, find the other.

Solution. 

Required number =  Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
LCM of 3 and 9 is 9

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Therefore required number Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
=  2/9

Q4. The sum of two numbers is −1/3. If one of the numbers is −12/3, find the other.

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 11/3

Q5. The sum of two numbers is −4/3. If one of the numbers is -5, find the other.

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 11/3

Q6. The sum of two rational numbers is -8. If one of the numbers is −15/7, find the other.

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

The required number is -41/7

Q7. What should be added to −7/8 so as to get 5/9?

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 103/72

Q8. What number should be added to -5/11 so as to get 26/33?

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 41/33

Q9. What number should be added to −5/7 to get −2/3?

Solution.

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 1/21

Q10. What number should be subtracted from −5/3 to get 5/6?

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 15/6

Q11. What number should be subtracted from 3/7 to get 5/4?

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 23/28

Q12. What should be added to Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Solution.

Let the required number be x
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is −7/5

Q13. What should be added to Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 59/30

Q14. What should be subtracted from Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Solution.

Let the required number be x

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
The required number is 1/4

Q15. Simplify:

Solution.

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics


Q16. Fill in the blanks:

Solution.

Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

The document Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
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FAQs on Ex-5.2, Operations On Rational Numbers, Class 7, Math RD Sharma Solutions - RD Sharma Solutions for Class 7 Mathematics

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a quotient or fraction of two integers. In other words, any number that can be written in the form p/q, where p and q are integers and q is not equal to 0, is a rational number.
2. How do we perform addition and subtraction of rational numbers?
Ans. To add or subtract rational numbers, we need to make sure that the denominators of the numbers are the same. If the denominators are different, we find the least common multiple (LCM) of the denominators and convert the fractions to have the same denominator. Then, we can add or subtract the numerators, keeping the common denominator unchanged.
3. Can we multiply and divide rational numbers?
Ans. Yes, we can multiply and divide rational numbers. To multiply rational numbers, we simply multiply the numerators and denominators together. To divide rational numbers, we multiply the first number by the reciprocal of the second number. The reciprocal of a number is obtained by swapping the numerator and denominator.
4. What is the concept of the absolute value of a rational number?
Ans. The absolute value of a rational number is the positive value of the number, regardless of its sign. It represents the distance of the number from zero on the number line. For example, the absolute value of -5/6 is 5/6, and the absolute value of 5/6 is also 5/6.
5. How do we compare rational numbers?
Ans. To compare rational numbers, we can convert them to have the same denominator and then compare the numerators. If the numerators are equal, then the rational numbers are equal. If the numerators are different, we can compare them directly. If the denominators are different, we find the least common multiple (LCM) of the denominators and convert the fractions to have the same denominator before comparing.
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