The result will also be a rational number.
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The product of two rational numbers is always a rational number.
Not necessarily. The sum of two irrational numbers can be 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.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
The sum of any two numbers has the same sign as the number with the greater absolute value.