ML Aggarwal Rational and Irrational Number Check Your Progress Class 8 ICSE Maths Solutions. We Provide Step by Step Answer of Check Your Progress Questions for Rational and Irrational Number as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-8.
ML Aggarwal Rational and Irrational Number Check Your Progress Class 8 ICSE Maths Solutions
| Board | ICSE |
| Publications | Avichal Publishig Company (APC) |
| Subject | Maths |
| Class | 8th |
| Chapter-1 | Rational and Irrational |
| Writer | ML Aggarwal |
| Book Name | Understanding |
| Topics | Solution of Check Your Progress Question |
| Edition | 2023-2024 |
Rational and Irrational Number Check Your Progress
ML Aggarwal Class 8 ICSE Maths Solutions
Page-34
Question 1. Evaluate the following:
Answer :
Question 2. What number should be added to −4/11 to get −3/8?
Answer :
Required number = -3/8 – (-4/11)
= (-3/8) + (-4/11)
= (-33+32)/88
= -1/88
Question 3. What rational number should be subtracted from the sum of 3/14 and −4/7 to get 13/21?
Answer :
Question 4. If the product of two rational numbers is 25/42 and one of them -2(6/7), find the other.
Answer :
Product of two numbers = 25/42
One number = −2(6/7) = -20/7
Then second number = 25/42 ÷ (-20/7)
Question 5. Divide the sum of 4/13 and −3/2 by their product.
Answer :
Question 6. Using the appropriate properties of operations of rational numbers, evaluate the following:
Answer :
Question 7. Find the additive inverse of the following:
(i) -13(7/8)
(ii) 4(3/6)
Answer :
(i) Additive inverse of −13(7/8) = 13(7/8)
(ii) Additive inverse of 4(3/6) = 4(3/6)
Question 8. Find the multiplicative inverse of the following:
(i) −23/46
(ii) 0
Answer :
(i) Multiplicative inverse of −23/46 is 46/-23 = -2
(ii) Multiplicative inverse of 0 is not defined.
Question 9. Represent the following rational numbers on the number line:
(i) −3/11
(ii) 5/17
Answer :
Question 10. Insert five rational numbers between −3/7 and 2/5.
Answer :
Question 11. If p = −4/9 , q = 2/3 and r = −8/11, then verily the following:
(i) p + (q + r) = (p + q) + r
(ii) p × q = q × p
(iii) p × (q + r) = p × q + p × r
(iv) (p + q) ÷ r = p ÷ r + q ÷ r.
Answer :
(ii) p × q = q × p
(iv) (p + q) ÷ r = p ÷ r + q ÷ r.
LHS = RHS
Question 12. A wedding cake weighed 8 kg. If 2/5 th of its weight was flour, 5/16 th was sugar, 1/4 th was cream and the rest were nuts, find the weight of nuts.
Answer :
Weight of a wedding cake = 8 kg
Weight of Hour in it = 2/5 th of 8 kg = 16/5 kg
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