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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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उत्तर
Given, `(-5)/4 xx (8/5 + 16/15)`
= `(-5)/4 xx 8/5 + ((-5)/4) xx (16/15)` ...[By using distributive property over addition]
= `-2 - 4/3`
= `(-6 - 4)/3`
= `(-10)/3`
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संबंधित प्रश्न
Verify the property: x × (y + z) = x × y + x × 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:
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 = 1/2, y = 1/2`
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Simplify the following by using suitable property. Also name the property.
`[1/2 xx 1/4] + [1/2 xx 6]`
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
