Respuesta :
-- If both of them are negative,
or
-- If their signs are different and the negative number has
a bigger absolute value than the positive one,
then
-- Their sum is negative.
Actually, I don't think it matters whether they're rational or not.
Answer:
both numbers are negative
negative number is greater than the positive number
Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
[tex] \frac{-1}{2} + \frac{-3}{2} = \frac{-4}{2} = -2[/tex]
2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
[tex] \frac{-5}{6} + \frac{2}{6} = \frac{-3}{6} [/tex]
Hope this helps :)
both numbers are negative
negative number is greater than the positive number
Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
[tex] \frac{-1}{2} + \frac{-3}{2} = \frac{-4}{2} = -2[/tex]
2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
[tex] \frac{-5}{6} + \frac{2}{6} = \frac{-3}{6} [/tex]
Hope this helps :)