The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. The additive inverse of a number is also known as the opposite of the number. For example, the additive inverse of 3 is -3, because 3 + (-3) = 0.
In the case of the expression -(-3/7), the additive inverse is 3/7. This is because -(-3/7) + (3/7) = 0. The expression -(-3/7) can be simplified by applying the rules of arithmetic and the order of operations.
First, we need to apply the negation operator (-) to the expression inside the parentheses. This means that we need to change the sign of the number inside the parentheses from positive to negative. Since the number inside the parentheses is 3/7, the result of applying the negation operator is -3/7.
Next, we need to apply the negation operator (-) to the entire expression, which is -(-3/7). Since the negation operator reverses the sign of the number, this means that we need to change the sign of the expression from negative to positive. Therefore, the result of applying the negation operator to the entire expression is 3/7.
Therefore, the additive inverse of -(-3/7) is 3/7. This means that if we add 3/7 to -(-3/7), the result will be 0.