Question

Verify the property x*(y*z)=(x*y)*z of rational numbers by using x=2/3, y=3/7, z=1/2

Answer 1

x*y*z = x*y*z

So it is here

2/3* 3/7 *1/2= 2/3* 3/7* 1/2

So it is

0.14285

refer to the attachment for ur justification....

Hope it helped h

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Answer 2

Step-by-step explanation:

x = 2/3 , y = 3/7 , z = 1/2

x * ( y * z ) = ( x * y ) * z

=   x * ( y * z )   [L.H.S]

= $\frac{2}{3} * (\frac{3}{7} * \frac{1}{2} )$

= $\frac{2}{3} * \frac{3}{14}$

= $\frac{6}{42}$

( x * y ) * z [R.H.S]

= $(\frac{2}{3} * \frac{3}{7} ) * \frac{1}{2}$

= $\frac{6}{21} * \frac{1}{2}$

= $\frac{6}{42}$

Hence verified.

Hope this helps you mate!!