The signs of the rational numbers are given as follows:
a) The sum is positive when both numbers are positive, or when a positive and a negative are added, with the positive having higher absolute value.
b) When they have the same sign, either both positive or both negative.
c) When they have the same sign, either both positive or both negative.
When a sum of two rationals is positive?
There are two cases when the sum of two rationals is positive, given as follows:
- Two positives, ex 1 + 2 = 3.
- One positive and one negative, with the positive having higher absolute value, for example: -1 + 3 = 2.
When a product or quotient is positive?
Also both cases:
- Two positives: 2 x 2 = 4, 2/2 = 1.
- Two negatives: -2 x -2 = 4, -2/-2 = 1.
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