Question

Verify the property: x × (y × z) = (x × y) × z by taking:

\[x = 0, y = \frac{- 3}{5}, z = \frac{- 9}{4}\]

Answer 1

\[\text{We have to verify that} x \times (y \times z) = (x \times y) \times z . \]
\[x = 0, y = \frac{- 3}{5}, z = \frac{- 9}{4}\]
\[x \times (y \times z) = 0 \times (\frac{- 3}{5} \times \frac{- 9}{4}) = 0 \times \frac{27}{20} = 0\]
\[(x \times y) \times z = (0 \times \frac{- 3}{5}) \times \frac{- 9}{4} = 0 \times \frac{- 9}{4} = 0\]
\[ \therefore 0 \times (\frac{- 3}{5} \times \frac{- 9}{4}) = (0 \times \frac{- 3}{5}) \times \frac{- 9}{4}\]
\[\text{Hence verified .} \]