Learn about real numbers, understand intervals, then practice showing them on the number line.
Real numbers are all the numbers that can be represented on the number line. They include both rational numbers and irrational numbers.
Numbers that can be written in the form:
pq, q ≠ 0
Examples:
12, −3, 0, 4, 2.5, 0.333…
Numbers that cannot be written in the form pq.
Examples:
√2, √3, π
Their decimal forms are non-terminating and non-repeating.
And the number system can be shown as:
Natural ⊂ Whole ⊂ Integers ⊂ Rational ⊂ Real
−5, 0, 3, 23, √5, π
All of these are real numbers.
Choose what you would like to do.
The set of all real numbers between any two real numbers taken as endpoints, without any gap, is called an interval. Such intervals contain infinite real numbers. Such intervals, the end point may or may not be included. The interval between two real numbers a and b (where a < b) can be denoted by a ≤ x ≤ b if the endpoints are included, and by a < x < b if they are not included.
Tap a button to see that type of interval and its number line.