The product of two rational numbers is always a rational number.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
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 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 two numbers has the same sign as the number with the greater absolute value.
Every time. The sum of two rational numbers MUST be a rational number.
The product of two rational numbers is always a rational number.
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
No. The set of rational numbers is closed under addition (and multiplication).
Another rational number.
If the two rational numbers are expressed as p/q and r/s, then their sum is (ps + rq)/(qs)
no
Yes, it is.
Suppose the two rational numbers are x and y.Then (ax + by)/(a+b) where a and b are any positive numbers will be a number between x and y.
You get a product which can be rational or irrational.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
yes