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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`
संबंधित प्रश्न
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
Verify the property x + y = y + x of rational numbers by taking
`x = 1/2, y = 1/2`
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.
`(-3)/5 xx {3/7 + ((-5)/6)}`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
