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Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.
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The sum of two rational numbers is always a rational number?
Yes.
Which of the following correctly describes the sum of two rational numbers?
It is always rational.
The sum of two rational numbers is a rational number?
Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)
When adding two negative rational numbers the sum will be negative sometimes never always?
Never.
Is the sum of a rational number irrational?
No - the sum of any two rational numbers is still rational:
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Are the sum of two rational numbers rational or irrational?
They are always rational.
The sum of two rational numbers is always a rational number?
Yes.
What is always true about the sum of two rational numbers?
It is a rational number.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Is it sometimes true when the sum of two rational numbers are rational?
No, it is always true
Which of the following correctly describes the sum of two rational numbers?
It is always rational.
What is the sum of three rational numbers?
It's always another rational number.
Is the sum of two or more rational numbers is it rational or irrational?
The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.
Can the sum of two rational numbers always be written as a fraction?
Yes, the set of rational numbers is closed under addition.
When adding two positive rational numbers will the sum always be zero?
No
The sum of rational numbers and an irrational number?
It is always an irrational number.
