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Question
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 0, y = 1/2` and `z = 1/4`
and What is the name of this property?
Solution
x × (y × z) = (x × y) × z
`x = 0, y = 1/2` and `z = 1/4`
L.H.S = x × (y × z)
⇒ `0 xx (1/2 xx 1/4)`
⇒ `0 xx (1/8) = 0`
R.H.S = (x × y) × z
⇒ `(0 xx 1/2) xx 1/4`
⇒ `0 xx 1/4`
⇒ 0
L.H.S = R.H.S
The name of the verified property is associative property for multiplication.
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