## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Check Your Progress

Question 1.

Evaluate the following:

Solution:

Question 2.

What number should be added to to get ?

Solution:

Question 3.

What rational number should be subtracted from the sum of and to get ?

Solution:

Question 4.

If the product of two rational numbers is and one of them -2, find the other.

Solution:

Question 5.

Divide the sum of and by their product.

Solution:

Question 6.

Using the appropriate properties of operations of rational numbers, evaluate the following:

Solution:

Question 7.

Find the additive inverse of the following:

(i) -13

(ii) 4

Solution:

Question 8.

Find the multiplicative inverse of the following:

(i)

(ii) 0

Solution:

Question 9.

Represent the following rational numbers on the number line:

(i)

(ii)

Solution:

Question 10.

Insert five rational numbers between and

Solution:

Question 11.

If p = , q = and r = , then verily the foflowing:

(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.

Solution:

Question 12.

A wedding cake weighed 8 kg. If th of its weight was flour, th was sugar, thwas cream and the rest were nuts, find the weight of nuts.

Solution: