Question

the opposite of 25 is what?

Answer 1

it is -25 because  it is an additive inverse

Answer 2

The opposite of 25 is - 25

Given :

The number 25

To find :

The opposite of 25

Solution :

Step 1 of 2 :

Define opposite of a number

For any given number the opposite number of the number is the additive inverse of the number

We know that 0 is the additive identity

Let N be any number and M be the additive inverse of N

So by the property of additive inverse

N + M = 0 = M + N

Now N + M = 0 gives M = - N

More precisely for any given number the additive inverse is the number that when added to the given number will result zero

So from above we can conclude that additive inverse of N is - N

Step 2 of 2 :

Find opposite of 25

Here the given number is 25

Hence the required opposite number of 25

= Additive inverse of 25

= - 25

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