Verify the property x * (y * z) = (x * y) * z of rational numbers by using x =1, y = -1/2 and z = 1/4 and what is the name of this property?
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Step-by-step explanation:
LHS = x×(y×z)
Putting x=1 , y= -1 /2, z= 1/4
x×(y×z) = 1×{(-1/2)×1/4}
= 1×(-1/8)= -1/8
RHS= (x×y)×z
Putting x=1 , y= -1 /2, z= 1/4
(x×y)×z = {1×(-1/2)}×1/4
= (-1/2)×1/4
= -1/8
LHS = RHS
Hence verified
This property is called commutative property of multiplication
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