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Which of the following is the additive inverse of a-b

A. a+b
B. -a+b
C. -a-b
D. 1/a-b

User Attika
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1 Answer

3 votes

Answer:

B. -a+b

Explanation:

You want the additive inverse of a-b.

Additive inverse

The additive inverse of an expression is the value gives zero when summed with the expression.

If we call the additive inverse 'q', then ...

(a -b) +q = 0

Subtracting (a -b) gives ...

(a -b) +q -(a -b) = -(a -b) . . . . indicate the subtraction

q = -(a -b) . . . . . . . . . . collect terms

q = -a +b . . . . . . eliminate parentheses

The additive inverse of a-b is -a+b.

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Additional comment

The commutative property of addition lets us write that additive inverse as b-a.

The additive inverse is also known as the "opposite." It can be found by multiplying an expression by -1 (or subtracting it from zero, as above).

User Holli
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