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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
Name the property of multiplication of rational numbers illustrated by the following statements:
Name the property of multiplication of rational numbers illustrated by the following statements:
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 \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]
By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]
Verify the distributive property a × (b + c) = (a × b) + (a × c) for the rational numbers a = `(-1)/2`, b = `2/3` and c = `(-5)/6`
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 all rational numbers a, b and c, a(b + c) = ab + bc.
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
