Question

when a positive integer and a negative integer are added we always get a negative integer

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Answer 1

Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

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Answer 2

Whenever we add two integers one is positive and another is negative.  The resultant number sign is the same as the greater number between the two integers.

Let us consider two integers be 5 and -8.

The sum of two integers be,

$5+(-8)=5-8\\=-3$