Question

What will be the additive inverse of -234?
(a) -234
(b) 1
(c) 234
(d) 0

Answer 1

Hint: The additive inverse of a number is another number which when added to the original number yields zero. This number is also known as the opposite number and negation number.

Complete step-by-step answer:

Before proceeding with the question, we should know about additive inverse. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.
Then the relationship between these two numbers is \[x+y=0\] which means that the additive inverse is \[y=-x\]. Examples- The additive inverse of -5 is +5 because -5+5=0. Similarly, the additive inverse of 1420 is -1420 because 1420+(-1420) = 0.
Let the given number be x and its additive inverse be y.
Let the additive inverse of -234 be y. Then according to definition,
 \[\,\Rightarrow -234+y=0\]
Keeping the variable term y on left hand side and transferring the number to positive side we get the answer,
 \[\,\Rightarrow y=234\]
Hence the answer is that the additive inverse of the number -234 is 234. So the correct option is option (c) and not any other option.

Note: We just need to be thorough with the definition of additive inverse and then we can easily find it. We can make a mistake in taking positive signs in place of negative signs or vice-versa.