Final answer:
The correct term to complete the sentence is 'sum', as the numbers -4 and 4 add up to give 0, which is the sum of these two numbers.
Step-by-step explanation:
The sum of the numbers -4 and 4 is 0. The correct term to fill in the blank in the sentence is 'sum'. If we analyze the options provided, we can rule out 'difference', 'product', and 'quotient', as these terms refer to subtraction, multiplication, and division, respectively. Since we are dealing with addition here, the only appropriate term is 'sum'. We can verify this by applying the rule for adding numbers with opposite signs: subtract the smaller number from the larger number, and the answer has the sign of the larger number; since the numbers are equal but with opposite signs, the result is zero.
When adding -4 and 4, the equation looks like this: -4 + 4 = 0. Therefore, 'sum' is the term that correctly completes the sentence.