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

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User Jensej
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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\}

answered
User Rushkeldon
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