If the sum is zero, what is the relationship of the two numbers?
(this is an integers question--adding and subtracting-multiplying-and deviding positive and negative numbers)
ONE IS THE NEGATIVE OF THE OTHER
5 + (-5) = 5 - 5 = 0
In order to determine the relationship between two numbers when their sum is zero, we need to consider the concept of additive inverses.
Additive inverses are pairs of numbers that, when added together, yield a sum of zero. In other words, they are like "opposites" that cancel each other out.
So, if the sum of two numbers is zero, it means that the two numbers are additive inverses of each other.
For example:
- If we have the numbers 3 and -3, their sum would be 3 + (-3) = 0. Here, 3 and -3 are additive inverses of each other.
- Another example is -7 and 7. Their sum is -7 + 7 = 0, making them additive inverses.
To determine the additive inverse of a given number, we need to change its sign. If the number is positive, its additive inverse will be negative, and if the number is negative, its additive inverse will be positive.
For instance:
- The additive inverse of 5 is -5 because 5 + (-5) = 0.
- The additive inverse of -2 is 2 because -2 + 2 = 0.
By understanding the concept of additive inverses and knowing that the sum of two numbers is zero, we can conclude that the two numbers in question are additive inverses of each other.