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earnstyle [38]
3 years ago
11

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

Mathematics
2 answers:
stellarik [79]3 years ago
3 0

Answers:

Additive Inverse = 1/2

Multiplicative Inverse = -2

========================================

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.

--------------

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.

11111nata11111 [884]3 years ago
3 0

Answer:

1. Additive Inverse = \frac{1}{2}

2. Multiplicative Inverse = -2

Step-by-step explanation:

An <em>"additive inverse"</em> 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 -\frac{1}{2} is \frac{1}{2} because when you add both numbers, <u>the sum is 0.</u>

  • -\frac{1}{2} + \frac{1}{2} = 0

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

The multiplicative inverse of -\frac{1}{2} is -2 because when you multiply both, the <u>product is 1.</u>

  • -\frac{1}{2} x -2 = 1
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