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प्रश्न
Verify the property: x × y = y × x by taking:
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उत्तर
\[\text{We have to verify that} x \times y = y \times x . \]
\[ x = 0, y = \frac{- 15}{8}\]
\[ x \times y = 0 \times \frac{- 15}{8} = 0\]
\[y \times x = \frac{- 15}{8} \times 0 = 0\]
\[ \therefore 0 \times \frac{- 15}{8} = \frac{- 15}{8} \times 0\]
\[\text{Hence verified .}\]
संबंधित प्रश्न
Verify the property: x × (y × z) = (x × y) × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]
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
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
