Describe a set of numbers that are real numbers but cannot be expressed as one intrigger divided by another
One such set of numbers that cannot be expressed as one integer divided by another is the set of irrational numbers. Irrational numbers are real numbers that cannot be expressed as a ratio of two integers. They are non-repeating and non-terminating decimals.
Examples of irrational numbers include Π (pi), √2 (square root of 2), √3 (square root of 3), e (Euler's number), and √5 (square root of 5). These numbers cannot be expressed as a fraction of two integers, no matter how large or small the integers are.
A set of real numbers that cannot be expressed as one integer divided by another can be described by including irrational numbers.
Irrational numbers are real numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written as terminating or repeating decimals. Some common examples of irrational numbers are:
1. √2 (the square root of 2)
2. π (pi, the ratio of a circle's circumference to its diameter)
3. e (Euler's number, a mathematical constant)
4. √3 (the square root of 3)
5. φ (phi, the golden ratio)
These numbers are examples of real numbers that cannot be expressed as a quotient of two integers.