The sum of any finite set of rational numbers is a rational number.
sometimes true (when the rational numbers are the same)
Because both of those numbers are rational. The sum of any two rational numbers is rational.
find the rational between1and3
Because a is rational, there exist integers m and n such that a=m/n. Because b is rational, there exist integers p and q such that b=p/q. Consider a+b. a+b=(m/n)+(p/q)=(mq/nq)+(pn/mq)=(mq+pn)/(nq). (mq+pn) is an integer because the product of two integers is an integer, and the sum of two integers is an integer. nq is an integer since the product of two integers is an integer. Because a+b equals the quotient of two integers, a+b is rational.
integer
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.
The sum of any finite set of rational numbers is a rational number.
Never.
Such a sum is always rational.
sometimes true (when the rational numbers are the same)
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.)
Because both of those numbers are rational. The sum of any two rational numbers is rational.
When dealing with numbers greater than one, the sum will never be greater than the product. This question has no rational answer.
No - the sum of any two rational numbers is still rational:
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.
They are always rational.