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14 September, 19:53

Wendy received a bill for $25 from a magazine club. She paid the magazine club $25. This can be expressed by the following equation.

25 + (-25) = 0

Which mathematical property justifies that the balance in her account is $0?

A. additive inverse

B. multiplicative inverse

C. additive property of zero

D. distributive property

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  1. 14 September, 20:01
    0
    The mathematical property 'additive inverse' justifies that the balance in her account is $0.

    Step-by-step explanation:

    We know that the additive inverse is what we add to a number to obtain zero.

    For example, the additive inverse of - 8 is + 8, as - 8 + 8 = 0. Another example, the additive inverse of - 3 is + 3, as - 3 + 3 = 0.

    In other words, the sum of a number and its opposite is zero.

    so

    When we write the equation

    25 + (-25) = 0

    It means the mathematical property 'additive inverse' justifies that the balance in her account is $0.

    Because the additive inverse of + 25 is - 25, and the sum of 25 + (-25) is zero.

    Therefore, the mathematical property 'additive inverse' justifies that the balance in her account is $0.
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