What would the additive and multiplicative inverse of 2 be and how do you solve this?

Answer 1

Additive inverse is -2
Multiplicative inverse is 1/2

You get the additive inverse of a number by multiplying it by
-1.
You get the multiplicative inverse of a number by dividing 1 by the number.

Answer 2

To find an inverse of a number, you first need to decide what the identity is, for that operation.

Considering addition, what number x satisfies the following:

a + x = a.

Clearly its 0, so the identity is 0.

Considering multiplication, what number x satisfies the following:

ax = a

The answer is 1, so the identity is 1.

Now, the inverse x of a number a is s.t

a * x = e, ... ... where * is the operation (addition, multiplication...) and e is the identity.

So, for addition,

a + x = 0

The inverse x will be -a.

For multiplication,

ax = 1

The inverse x will be 1/a.

Since in your question a = 2, the additive inverse is -2 and the multiplicative inverse is 1/2.

Answer 3

it depends in what ring.

in N ,2 doesnt have an additive inverse, in Z the additive inverse of 2 is -2, in Z/3 it is 1

multiplicative idem dito
in N, Z none, in Q it is 1/2 , in Z/3 it is 2 itself.

greetings.

Answer 4

additive inverse means the value that added to it equals 0
thus that would be -2

multiplicative inverse means the value multiplied to it that equals 1, thus that would be 1/2