Question

what is the quotient obtained when an integer is divided by its additive inverse

Answer 1

(- 1)

The quotient when an integer is divided by its additive inverse, is (- 1).

Step-by-step explanation:

• Two numbers a and b are additive inverse of each other, when a + b = 0.

• In other words, a + b = 0 gives b = - a.

• That is two numbers are additive inverse when one is negative of the other.

Let one number be a. Then its additive inverse is (- a).

Now, a ÷ (- a)

= (- 1)

Also, let one number be (- a). Then its additive inverse is a.

Now, (- a) ÷ a

= (- 1)

NOTE:

However the numbers should be non-zero. If we take one number to be 0, then its additive inverse is also 0. But 0/0 is indeterminate.

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