no
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.
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
For two rational numbers select any terminating or repeating decimal number which starts with 2.10 and for irrational numbers you require a non-terminating, non-repeating decimal which also starts with 2.10.
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
Another rational number.
The result will also be a rational number.
no
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).
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.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
yes
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
The product of two rational numbers is always a rational number.
For two rational numbers select any terminating or repeating decimal number which starts with 2.10 and for irrational numbers you require a non-terminating, non-repeating decimal which also starts with 2.10.