Advertisements
Advertisements
प्रश्न
Verify the property: x × (y + z) = x × y + x × z by taking:
Advertisements
उत्तर
\[\text{We have to verify that} x \times (y + z) = x \times y + x \times z . \]
\[x = \frac{- 8}{3}, y = \frac{5}{6}, z = \frac{- 13}{12}\]
\[x \times (y + z) = \frac{- 8}{3} \times (\frac{5}{6} + \frac{- 13}{12}) = \frac{- 8}{3} \times \frac{10 - 13}{12} = \frac{- 8}{3} \times \frac{- 3}{12} = \frac{2}{3}\]
\[x \times y + x \times z = \frac{- 8}{3} \times \frac{5}{6} + \frac{- 8}{3} \times \frac{- 13}{12}\]
\[ = \frac{- 20}{9} + \frac{26}{9}\]
\[ = \frac{- 20 + 26}{9}\]
\[ = \frac{2}{3}\]
\[ \therefore \frac{- 8}{3} \times (\frac{5}{6} + \frac{- 13}{12}) = \frac{- 8}{3} \times \frac{5}{6} + \frac{- 8}{3} \times \frac{- 13}{12}\]
\[\text{Hence verified .} \]
APPEARS IN
संबंधित प्रश्न
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
For rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
