Students will be able to:
identify an irrational number.
Any number that is not rational is irrational. Irrational numbers are nonrepeating, nonterminating decimals.
Numbers that are not rational are called irrational numbers.
[Real Numbers classification diagram: Rational Numbers and Irrational Numbers are distinct subsets of Real Numbers. Within Rational Numbers are nested Integers, Whole Numbers, and Natural Numbers.]
Rational Numbers examples: -4/5, 0.75, 31.8
Integers examples: -5, -16/4, -1,000
Whole Numbers example: 0
Natural Numbers examples: 19, √4
Irrational Numbers examples: √2, 1.121121112..., π, -√3
The number 2 is not a perfect square, so √2 is irrational.
The number 4 is a perfect square, so √4 = 2 is rational.