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प्रश्न
Verify the property: x × (y × z) = (x × y) × z by taking:
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उत्तर
\[\text{We have to verify that} x \times (y \times z) = (x \times y) \times z . \]
\[(i) x = \frac{- 7}{3}, y = \frac{12}{5}, z = \frac{4}{9}\]
\[x \times (y \times z) = \frac{- 7}{3} \times (\frac{12}{5} \times \frac{4}{9}) = \frac{- 7}{3} \times \frac{16}{15} = \frac{- 112}{45}\]
\[(x \times y) \times z = (\frac{- 7}{3} \times \frac{12}{5}) \times \frac{4}{9} = \frac{- 28}{5} \times \frac{4}{9} = \frac{- 112}{45}\]
\[ \therefore \frac{- 7}{8} \times (\frac{15}{5} \times \frac{4}{9}) = (\frac{- 7}{8} \times \frac{15}{5}) \times \frac{4}{9}\]
\[\text{Hence verified .} \]
संबंधित प्रश्न
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Name the property used in the following.
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Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
| Name | Distance covered (km) |
| Seema | `1/25` |
| Nancy | `1/32` |
| Megha | `1/40` |
| Soni | `1/20` |
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