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lubasha [3.4K]
3 years ago
9

How can you predict whether the sum of two integers is 0, positive, or negative?

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

See explanation:

Step-by-step explanation:

Let a and b be integers.

Sum means addition.

So we are trying to figure out what a+b equals.

It could result in as 0, negative, or positive.

a+b is 0 when a and b are of opposite values. Example: 5+(-5) or -5+5 is 0 because 5 and -5 are opposite values.

a+b is positive when both a and b are positive. Example 5+3=5.

a+b is positive when |a|>|b| and a is positive. Example:  5+(-3)=2 since |5|>|-3| and 5 is positive.

a+b is positive when |a|<|b| and b is positive. Example:  -3+5=2 since |-3|<|5| and 5 is positive.

a+b is negative when both a and b are negative. Example: -5+(-3)=-8.

a+b is negative when |a|>|b| and a is negative. Example: -5+3=-2 since |-5|>|3| and -5 is negative.

a+b is negative when |a|<|b| and b is negative. Example: 3+(-5)=-2 since      |3|<|-5| and -5 is negative.

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  x = 0

Step-by-step explanation:

You know the answer to this because you know the identity element for addition is 0: 5 + 0 = 5.

__

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