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Consider the absolute values (the numerical values ignoring the signs) of the two numbers. If these are equal then the sum is equal; otherwise the sum takes the sign of which ever number has the larger absolute value.

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Q: How can you tell if adding two rational numbers with different is a positive negative or zero?
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Related questions

Can rational numbers not be negative?

Rational numbers can be negative or positive.


When multiplying and dividing rational numbers how do you know if the answer will be a negative?

It the two rational numbers have different signs, then the answer will be negative, otherwise it will be positive.


When is the sum of two rational numbers with different signs positive?

The sign of the sum is positive when the absolute value of the positive addend is greater than that of the negative addend.


Are all negative numbers are rational?

No, not all negative numbers are rational. There are many negative numbers that are irrational, just like the positive numbers.


Can a rational number be negative in the denominator?

Yes. It can also be negative in the numerator. Both positive and negative numbers (as well as zero) can be rational numbers. Both positive and negative numbers can be irrational numbers. Both positive and negative numbers (as well as zero) can be integers.


Can rational numbers be positive and negative?

Yes, they can.


Are rational numbers always integers?

Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.


Can rational numbers be negative?

Any rational positive number is still rational when you make the same number negative.


What are rational numbers but not negative numbers between negative 6 and positive 6?

They are the infinite number of rational numbers between 0 and +6


Are all rational numbers positive?

Not at all. The class of "natural" numbers are all positive, but the classes of "real" numbers and "rational" numbers include negative numbers.


Are positive and negative numbers rational number?

Yes, they are.


Is negative17 rational or irrational?

Integers are rational numbers, whether they are positive or negative.