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Question
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
Options
`-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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Solution
`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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