Question

Will adding a negative number to another integer always result in a negative sum? Why?
A
No, the sum of any two integers is always positive.
B
Yes, because a negative plus a positive is always negative.
с
Yes, because adding a negative number to zero is always negative.
D
No, the integer with the larger absolute value always determines the sign of the sum.

Answer 1

Answer:

  D  No, the integer with the larger absolute value always determines the sign of the sum.

Step-by-step explanation:

Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, the number in the sum that has the largest absolute value determines the sign of the result. (This is most important when the signs differ, but it is also true when the signs are the same.)