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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
उत्तर
Given, `3/4 xx (8/9 - 40)`
= `3/4 xx 8/9 + (3/4) xx (-40)` ...[By using distributive property over addition]
= `2/3 - 30`
= `(2 - 90)/3`
= `(-88)/3`
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संबंधित प्रश्न
Verify the property: x × (y + z) = x × y + x × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
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 \[\frac{- 8}{13}\]
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
For all rational numbers a, b and c, a(b + c) = ab + bc.
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
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 = 3/4, z = 1/4`
