Verify the property x × y = y × x of rational numbers by using
(a) x = 7, y = 1/2
(b) x = 2/3, y = 9/4
(c) x = -5/7, y = 14/15
(d) x = -3/8, y = -4/9

Solution:

(a)x = 7, y = 1/2

x × y = 7 × (1/2) = (7 × 1)/2 = 7/2 = LHS

y × x = (1/2) × 7 = (1 × 7)/2 =7/2 = RHS

LHS = RHS

Hence verified the commutative property

(b) x = 2/3, y = 9/4

x × y = 2/3 × 9/4 = (2 × 9)/12 = 18/12 = 3/2 = LHS

y × x = 9/4 × 2/3 = (9 × 2)/12 =18/12 = 3/2 = RHS

LHS = RHS

Hence verified the commutative property

(c) x = -5/7, y = 14/15

x × y = -5/7 × 14/15 = -70/105=-2/3 = LHS

y × x = 14/15 × -5/7 =-70/105 =-2/3 = RHS

LHS = RHS

Hence verified the commutative property

(d) x = -3/8, y = -4/9

x × y = -3/8 × -4/9 = 12/72 = 1/6 = LHS

y × x = -4/9 × -3/8 =12/72 = 1/6 = RHS

LHS = RHS

Hence verified the commutative property

✦ Try This: Verify the property x × y = y × x of rational numbers by using

(a) x = 4, y = 1/2, (b) x = 1/5, y = 7/3, (c) x = -2/3, y = 14/16, (d) x = -5/9, y = -3/7

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 108

Verify the property x × y = y × z of rational numbers by using (a) x = 7, y = 1/2 (b) x = 2/3, y = 9/4 (c) x = -5/7, y = 14/15 (d) x = -3/8, y = -4/9

Summary:

The commutative property of multiplication has been verified x × y = y × x for the given rational numbers (a) x = 7, y = 1/2 (b) x = 2/3, y = 9/4 (c) x = -5/7, y = 14/15 (d) x = -3/8, y = -4/9

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