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When the sum of all the positive integers in the sum is exactly matched (in magnitude) by the sum of all the negative integers.

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12y ago

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When adding integers how can you tell whether the sum will be positive negative or zero without really adding?

To determine whether the sum of integers will be positive, negative, or zero without actually adding, you can compare the counts of positive and negative integers. If there are more positive integers than negative ones, the sum will be positive. Conversely, if there are more negative integers, the sum will be negative. If the counts are equal and they are of the same absolute value, the sum will be zero.


What is the sum of the first 201 positive integers?

The sum of the first 201 positive integers is 20100 if you include 0 (i.e. from 0 to 200). If you sum the integers from 1 to 201 instead, the sum is 20301.


What is the result of adding an integer and it's opposite?

The result of adding and integer and its opposite is negation. A + (-A) = 0 For all real integers. It has the effect of adding 0 to a sum. Example: 32 + 16 + (-16) + 5 = 37 = 32 + 0 + 5.


What is the rule for adding integers that have the same sign?

The sum is positive.


How do you find the sum of all the positive integers of a number?

By adding whatever you mean with "integers of a number".


What is the term for two integers which sum to 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.


What six distinct integers whose sum is 7?

One possible set of six distinct integers whose sum is 7 is -5, -3, -1, 0, 2, and 4. Adding these integers together: -5 + -3 + -1 + 0 + 2 + 4 = 7. This combination satisfies both the requirement of being distinct and summing to 7.


What 3 consecutive integers have a sum of 0?

-1, 0, 1


When adding two negative integers - is the sum always positive?

No, always negative


Does adding integers with a common sign result in a sum with the same sign?

Yes, it does.


What is the sum of integers from -5 to 5?

Zero (0).


Can integers with the same sign affect the sum?

Yes, integers with the same sign will always affect the sum in a way that maintains that sign. For example, adding two positive integers results in a larger positive integer, while adding two negative integers yields a larger negative integer. Therefore, the sum of integers with the same sign will always be either positive or negative, depending on their sign.