http://www.purplemath.com/modules/numtypes.htm
What do you think?
Real, Rational, Irrational, Integer, Whole, Natural
-5/6
What do you think?
1. Real Numbers: -5/6 is a real number because it can be expressed as a decimal that terminates or repeats. In this case, -5/6 equates to -0.83333... (repeating).
2. Rational Numbers: -5/6 is a rational number because it can be expressed as a fraction, where both the numerator and the denominator are integers. As the ratio -5 to 6, it satisfies this condition.
3. Irrational Numbers: -5/6 is not an irrational number because it can be expressed as a fraction and, therefore, its decimal representation does not go on forever non-repeating.
4. Integer Numbers: -5/6 is not an integer number because integer numbers consist of all whole numbers and their opposites without fractional or decimal parts. In this case, -5/6 has a fractional part.
5. Whole Numbers: -5/6 is not a whole number because whole numbers consist of positive integers (including zero) without fractional or decimal parts. -5/6 has a negative value and is a fraction.
6. Natural Numbers: -5/6 is not a natural number because natural numbers consist exclusively of positive integers (including zero). Negative numbers and fractions, like -5/6, are not part of the set of natural numbers.
Hence, -5/6 belongs to the sets of Real Numbers and Rational Numbers.