Name ALL sets of numbers to which each number belongs

Real Rational Irrational Integer Whole Natural

0 Whole Integer

Square root of 5 Irrational

-80 Integer

12/3 Rational

square root of 100 Irrational

square root of 4 Irrational

3pi Irrational

To determine the sets of numbers to which each number belongs, let's define each set:

- Real numbers: Real numbers include all numbers on the number line, both rational and irrational numbers.
- Rational numbers: Rational numbers are numbers that can be expressed as a fraction (a/b), where a and b are integers and b is not equal to zero.
- Irrational numbers: Irrational numbers cannot be expressed as a fraction. They are non-terminating and non-repeating decimals.
- Integer numbers: Integers are whole numbers (including zero) and their negative counterparts.
- Whole numbers: Whole numbers include all positive integers and zero.
- Natural numbers: Natural numbers are positive integers (excluding zero).

Now, let's go through each number and determine the sets to which they belong:

0:
- Sets: Whole numbers, integers, rational numbers, real numbers.

Square root of 5:
- Sets: Irrational numbers, real numbers.

-80:
- Sets: Integers, rational numbers, real numbers.

12/3:
- Sets: Rational numbers, real numbers.

Square root of 100:
- Sets: Rational numbers, real numbers.

Square root of 4:
- Sets: Rational numbers, real numbers.

3π:
- Sets: Irrational numbers, real numbers.

In summary:

0: Whole, Integer, Rational, Real.
Square root of 5: Irrational, Real.
-80: Integer, Rational, Real.
12/3: Rational, Real.
Square root of 100: Rational, Real.
Square root of 4: Rational, Real.
3π: Irrational, Real.

Real: 0, Square root of 5, -80, 12/3, square root of 100, square root of 4, 3pi

Rational: 0, 12/3

Irrational: Square root of 5, square root of 100, square root of 4, 3pi

Integer: 0, -80

Whole: 0, -80

Natural: 0