Question

Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.

negative
rational
improper
irrational

Answer 1

The set of numbers that are real numbers but cannot be expressed as one integer divided by another corresponds to **irrational numbers**.

Rational numbers are those that can be expressed in the form of a fraction (integer divided by another integer), such as \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \). Irrational numbers, on the other hand, cannot be written in this way and include numbers like \( \sqrt{2} \), \( \pi \), and \( e \).

So, the correct answer is **irrational**.