## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3

Question 1.

Multiply and express the result in the lowest form:

Solution:

Question 2.

Verify commutative property of multiplication for the following pairs of rational numbers:

(i) and

(ii) 13 and 1

(iii) and

Solution:

Question 3.

Verify the following and name the property also:

Solution:

Question 4.

Find the multiplication inverse of the following:

Solution:

Question 5.

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

Solution:

Question 6.

If p = , q = and r = , then verify that

(i) p × (q × r) = (p × q) × r

(ii) p × (q – r) = p × q – p × r

Solution:

Question 7.

Fill in the following blanks:

(ix) The reciprocal of 0 is …….

(x) The numbers ……… and ……. are their own reciprocals.

(xi) If y be the reciprocal of x, then the reciprocal of y^{2} in terms of x will be ………

(xii) The product of a non-zero rational number and its reciprocal is ………

(xiii) The reciprocal of a negative rational number is ………..

Solution:

Question 8.

If the multiplicative inverse of -1 ? Why or why not?

Solution:

Question 9.

Using distributivity, find

Solution:

Question 10.

Find the sum of additive inverse and multiplicative inverse of 9.

Solution:

Question 11.

Find the product of additive inverse and multiplicative inverse of

Solution: