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प्रश्न
Verify the property: x × y = y × x by taking:
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उत्तर
\[\text{We have to verify that} x \times y = y \times x . \]
\[x = \frac{- 1}{3}, y = \frac{2}{7}\]
\[x \times y = \frac{- 1}{3} \times \frac{2}{7} = \frac{- 2}{21}\]
\[y \times x = \frac{2}{7} \times \frac{- 1}{3} = \frac{- 2}{21}\]
\[ \therefore \frac{- 1}{3} \times \frac{2}{7} = \frac{2}{7} \times \frac{- 1}{3}\]
\[\text{Hence verified .} \]
संबंधित प्रश्न
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 \[\frac{- 23}{9}?\]
By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
For rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.
For all rational numbers a, b and c, a(b + c) = ab + bc.
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-2)/3, y = (-4)/6, z = (-7)/9`
