SOLUTION: Is 1/0 irrational? You are not supposed to divide by zero, therefore, 1/0 cannot be rational, therefore, it must be irrational. Does this hold true? Is it imaginary since it can

Algebra ->  Real-numbers -> SOLUTION: Is 1/0 irrational? You are not supposed to divide by zero, therefore, 1/0 cannot be rational, therefore, it must be irrational. Does this hold true? Is it imaginary since it can      Log On


   



Question 117124: Is 1/0 irrational? You are not supposed to divide by zero, therefore, 1/0 cannot be rational, therefore, it must be irrational. Does this hold true? Is it imaginary since it cannot be found on the real number line? Where does it live...irrational, imaginary, neither. Please help.
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since you cannot divide by zero, the result is undefined. So 1/0 is neither rational nor irrational. It is also neither real nor imaginary. This is the reason why 1/0 is undefined, it is simply not a number (note: some calculators show 1/0 as NaN which stands for Not a Number). Does this make sense?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
you are right...it is an irrational number because +n=+0
by definition:
In mathematics, an irrational number is any real number that is not a rational number, it is a number which cannot be expressed as a fraction m%2Fn, where m and n are integers, with +n+non-zero.