College

What is the opposite of [tex]$145$[/tex]?

A. [tex]-145[/tex]
B. [tex]|145|[/tex]
C. [tex]|-145|[/tex]
D. [tex]145[/tex]

Answer :

The opposite of a number is defined as its additive inverse, which is the number that, when added to the original, equals zero. In other words, for any number [tex]$a$[/tex], its opposite is [tex]$-a$[/tex] because

[tex]$$
a + (-a) = 0.
$$[/tex]

Given that [tex]$a = 145$[/tex], the opposite is calculated as

[tex]$$
-1 \times 145 = -145.
$$[/tex]

Thus, the opposite of [tex]$145$[/tex] is [tex]$\boxed{-145}$[/tex].