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Q: Two integers are ___ if their sum is zero?

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no

The sum of two positive integers can never equal zero.

yes

That if one of them is a, the other is -a.

Integers have no fractional parts, so their sum will be zero.

will always be zero

Two integers which sum to zero (e.g. 3 and -3) are additive inverses of each other. All pairs of additive inverses sum to 0 and all pairs of integers which sum to 0 are additive inverses.

The sum of two positive integers is always positive.

The sum of two positive integers is never zero. The sum of two numbers a and b can only be zero if a=-b, or a=0 and b=0. Since 0 is not a positive integer, and a and b cannot both be positive integers if a=-b, then it is impossible for the sum of two positive integers to be zero. _______________________________________________________________ The above answer is correct. Here is another way to say it: An integer is any whole number including negative numbers, positive numbers and zero. However, a "positive integer" is a whole number greater than zero. The "sum of two positive integers" means you are adding two numbers greater than zero together. Therefore, the sum of two positive integers can never be a negative integer, and can never be zero. Example: 1 + 1 = 2

The sum of two positive integers is positive. The sum of two negative integers is negative. The sum of one positive integer and one negative integer has the same sign as the addend with the greater absolute value. If the absolute values of the two addends are equal, the sum is zero.

It is zero and that is simply because that is how additive opposites are defined.

Zero (0).

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