Q1. Subtract the first rational number from the second in each of the following:
Solution.
Q2. Evaluate each of the following:
Solution.
LCM of 3 and 5 is 15
LCM of 3 and 7 is 21
Q3. The sum of the two numbers is 5/9. If one of the numbers is 1/3, find the other.
Solution.
Required number =
LCM of 3 and 9 is 9
Therefore required number
= 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
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
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
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
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
The required number is 41/33
Q9. What number should be added to −5/7 to get −2/3?
Solution.
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
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
The required number is 23/28
Q12. What should be added to
Solution.
Let the required number be x
The required number is −7/5
Q13. What should be added to
Solution.
Let the required number be x
The required number is 59/30
Q14. What should be subtracted from
Solution.
Let the required number be x
The required number is 1/4
Q15. Simplify:
Solution.
Q16. Fill in the blanks:
Solution.
1. What are rational numbers? |
2. How do we perform addition and subtraction of rational numbers? |
3. Can we multiply and divide rational numbers? |
4. What is the concept of the absolute value of a rational number? |
5. How do we compare rational numbers? |
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