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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
Write five rational numbers greater than − 2
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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?
Give an example and verify the following statement.
Distributive property of multiplication over subtraction is true for rational numbers. That is, a(b – c) = ab – ac
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Simplify the following by using suitable property. Also name the property.
`[1/2 xx 1/4] + [1/2 xx 6]`
