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
-2 Whole Integer Real
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