The absolute value of a real number can be defined as the distance between that number and zero. This is what we need to see to predict the sign of the sum.
A sum between a positive number and a negative number can be written as:
A + (-B)
The sign of the sum will be the same sign as the sign of the number with the largest absolute value.
Let's see some examples.
A = 7
-B = -2
The value with bigger absolute value is A = 7.
Then the sign will be positive:
7 + (-2) = 5 is positive, as expected.
A = 3
-B = -73
-B has the largest absolute value, thus the sign of the sum will be negative.
3 + (-73) = -70
If you want to learn more, you can read:
https://brainly.com/question/109208
