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प्रश्न
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
पर्याय
`-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)]`
`-1/4 xx {2/3 + ((-4)/7)} = [1/4 xx 2/3] - ((-4)/7)`
`-1/4 xx {2/3 + ((-4)/7)} = 2/3 + (-1/4) xx (-4)/7`
`-1/4 xx {2/3 + ((-4)/7)} = {2/3 + ((-4)/7)} - 1/4`
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उत्तर
`bb(-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)])`
Explanation:
We know that, the distributive property of multiplication over addition for rational numbers can be expressed as a × (b + c) = ab + ac, where a, b and c are rational numbers.
Here, `-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)]` is the example of distributive property of multiplication over addition for rational numbers.
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संबंधित प्रश्न
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
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:
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 we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
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`
