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When is the sum of a positive integer and a negative integer zero?
When the absolute value of the positive integer is the same as the absolute value of the negative one.
Can two integers have the same absolute value?
Yes, a positive integer and its negative have the same absolute value. For example, +5 and -5 have the same absolute value.
How can you predict the sign of the sum of a positive and a negative integer before you add the numbers?
If the absolute value of the positive integer is greater than the absolute value of the negative integer, then the sum of the two will be positive.If the absolute value of the positive integer is less than the absolute value of the negative integer, then the sum will be negative.If the absolute values of the two integers are the same then the sum will be zero, which has neither a negative nor a positive sign.
Is it positive or negative answer if there is a negative plus a positive?
It depends. No matter what, you subtract the two quantities. If the absolute value of the positive integer is greater than the absolute value of the negative integer, your answer is positive. If the absolute value of the negative integer is greater than the absolute value of the positive integer, your answer is negative.For example:-32+11 is -21, because the absolute value of -32 is greater than the absolute value of 11, and 32 is negative.-11+32 is 21, because the absolute value of 32 is greater than the absolute value of 11, and 32 is positive.If this is all confusing, I like to remember a song my seventh grade math teacher taught the class to the tune of "row row row your boat:"same sign add and keepdifferent sign subtractkeep the sign of the larger numberthen you'll be exact!"(the word "sign" refers to negative or positive)
How often is the sum of a negative integer and positive integer zero?
The sum of a negative integer and a positive integer is zero only when the two integers have the same absolute value. For example, if you have -3 (negative integer) and +3 (positive integer), their sum is zero. However, in general, this situation occurs infrequently since it requires specific values. Most of the time, the sum will be a negative integer if the absolute value of the negative integer is greater than that of the positive integer, and a positive integer if the opposite is true.
