# Name ALL sets of numbers to which each number belongs

Real, Rational, Irrational, Integer, Whole, Natural

-5/6

## http://www.purplemath.com/modules/numtypes.htm

What do you think?

## To determine which sets of numbers -5/6 belongs to, we can examine each set one by one:

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.