Question

Write the additive and multiplicative inverse of -1/2​

Answer 1

Answers:

Additive Inverse = 1/2

Multiplicative Inverse = -2

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Step-by-step explanation:

The additive inverse of x is -x. The two add to 0.

So the additive inverse of -1/2 is 1/2 because -1/2+1/2 = 0.

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The multiplicative inverse of x is 1/x

More thoroughly, the multiplicative inverse of a/b is b/a.

We apply the reciprocal operation here.

That means the multiplicative inverse of -1/2 is -2/1 which simplifies to -2.

We can see that (-1/2)*(-2) = 1

Any nonzero value multiplied with its multiplicative inverse will always result in 1.

Answer 2

1. Additive Inverse =
`(1)/(2)`

2. Multiplicative Inverse = -2

Step-by-step explanation:

An "additive inverse" refers to the number that is being added to another number in order to arrive at a sum of zero (0).

The additive inverse of -
`(1)/(2)` is
`(1)/(2)` because when you add both numbers, the sum is 0.

• -
  `(1)/(2)` +
  `(1)/(2)` = 0

A "multiplicative inverse" refers to the number that is being multiplied to another number in order to arrive at a product of 1.

The multiplicative inverse of -
`(1)/(2)` is -2 because when you multiply both, the product is 1.

• -
  `(1)/(2)` x -2 = 1