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प्रश्न
Verify the property: x × (y + z) = x × y + x × z by taking:
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उत्तर
\[\text{We have to verify that} x \times (y + z) = x \times y + x \times z . \]
\[x = \frac{- 12}{5}, y = \frac{- 15}{4}, z = \frac{8}{3}\]
\[x \times (y + z) = \frac{- 12}{5} \times (\frac{- 15}{4} + \frac{8}{3}) = \frac{- 12}{5} \times \frac{- 45 + 32}{12} = \frac{- 12}{5} \times \frac{- 13}{12} = \frac{13}{5}\]
\[x \times y + x \times z = \frac{- 12}{5} \times \frac{- 15}{4} + \frac{- 12}{5} \times \frac{8}{3}\]
\[ = \frac{9}{1} + \frac{- 32}{5}\]
\[ = \frac{45 - 32}{5}\]
\[ = \frac{13}{5}\]
\[ \therefore \frac{- 12}{5} \times (\frac{- 15}{4} + \frac{8}{3}) = \frac{- 12}{5} \times \frac{- 15}{4} + \frac{- 12}{5} \times \frac{8}{3}\]
\[\text{Hence verified .} \]
संबंधित प्रश्न
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By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
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Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
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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` |
Who walked farther, Nancy or Megha?
