Question

Verify associative property of multiplication

$x\times (y\times z)=(x\times y)\times z$ for $x=\frac{7}{4},y=\frac{-11}{3},z=\frac{1}{2}$ [4 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 2 Marks
Conclusion : 1 Mark

$L.H.S=x\times (y\times z)$

$=\frac{7}{4}\times (\frac{-11}{3}\times \frac{1}{2})$

$=\frac{7}{4}\times \left(\frac{-11}{6}\right)$

$=\frac{-77}{24}.......\left(i\right)$

$R.H.S=(x\times y)\times z$

$=(\frac{7}{4}\times \frac{-11}{3})\times \frac{1}{2}$

$=\frac{-77}{12}\times \frac{1}{2}=\frac{-77}{24}.....\left(ii\right)$

From (1) and (2)

L.H.S = R.H.S

$\Rightarrow x\times (y\times z)=(x\times y)\times z$