86.8k views
5 votes
When is a *-m/n* a real number? *superscript

User Jensej
by
7.4k points

1 Answer

6 votes

Since real numbers are closed with respect to division (i.e. the division between two real numbers is again a real number), the fraction
-(m)/(n) is a real number everytime both m and n are real numbers.

In other words, you can choose any real number m and any real number n, and their ratio will still be a real number.

Of course, you have to follow the only rule that you can't divide by zero, so the answer is more precisely


m \in \mathbb{R},\quad n \in \mathbb{R}\setminus\{0\}

User Rushkeldon
by
8.1k points