Which equation demonstrates the opposite of a sum property? A. (22 + 10) + 3 = (10 + 22) + 3 B. - 5 + 13 = 13 + (-5) C. (12 + (-4)) + 14 = 12 + ((-4) + 14) D. - (-6 + 17) = 6 + (-17)

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Mathematics

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1 April, 08:00

Which equation demonstrates the opposite of a sum property? A. (22 + 10) + 3 = (10 + 22) + 3 B. - 5 + 13 = 13 + (-5) C. (12 + (-4)) + 14 = 12 + ((-4) + 14) D. - (-6 + 17) = 6 + (-17)

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Ariella · Answer 1

For all real numbers a and b,

- (a+b) = (-a) + (-b)

The opposite of a sum of real numbers is equal to the sum of the opposites

D.

- (-6 + 17) = 6 + (-17)