Question

Find the additive inverse of \[\left( {24 - \left( { - 4} \right)} \right)\].

Answer 1

Hint: We have to find the additive inverse for the given term. First we have to solve the expression, that is, solve the brackets. Then we have to find the additive inverse by reverse the sign. And more methods we can use to find the additive inverse.

Complete step-by-step solution:
Given number,
\[\left( {24 - \left( { - 4} \right)} \right)\]
Simplifying the above expression, we get;
\[ \Rightarrow 24 + 4\]
Adding the two numbers, we get;
\[ = 28\]
Now to find the additive inverse of the above number, we need to inverse the symbol.

Therefore, the additive inverse of \[28 = - 28\]

Additional Information: Additive inverse refers to any number which when added to the original number gives the result as zero. This number is also known as the opposite number, opposite sign because the sign is changed. If a plus sign is present, it turns to minus and if a minus sign is present, we turn it to a plus. It is also a negation. For a real number, it reverses its sign: the opposite to a positive number is a negative number and the opposite of a negative number is a positive number.
The additive inverse of zero is itself because zero has no symbol, neither plus, nor minus.
The additive inverse going in deeper concepts is defined as the inverse element under the binary operation of addition.

Note: The other method is to take the additive inverse of the number as a variable, in this case \[x\].
\[28 + x = 0\]
\[ \Rightarrow x = - 28\]
Either ways, the additive inverse is \[ - 28\].
The given expression has to be solved first in order to find the additive inverse of the final number. For example, here, the expression which is given is simplified using the rule of mathematics. The answer obtained is reversed in its sign to get the additive inverse and the final answer.