Untitled Presentation

A number with a decimal expansion that terminates or repeats.

A number that cannot be written as a fraction.

A number with a non-repeating, non-terminating decimal expansion.

A number that is always positive.

Rational Numbers (Q)

Integers (Z)

Complex Numbers (C)

Irrational Numbers (IR)

0.5

π

2.333... (repeating)

√2

-3

0

2.5

4

2.75

0.0001

10.635

0.3333...

Rational numbers can be written as fractions, irrational numbers cannot.

Rational numbers are always whole numbers, irrational numbers are not.

Rational numbers are always positive, irrational numbers are negative.

Rational numbers have non-terminating decimals, irrational numbers have terminating decimals.

Natural numbers, whole numbers, integers

Whole numbers, integers, rational numbers

Natural numbers, integers, irrational numbers

Whole numbers, integers, irrational numbers

Rational numbers have decimal expansions that terminate or repeat, while irrational numbers have non-terminating, non-repeating decimal expansions.

Rational numbers have non-terminating, non-repeating decimal expansions, while irrational numbers terminate or repeat.

Both rational and irrational numbers have decimal expansions that terminate or repeat.

Rational numbers cannot be approximated by irrational numbers.

2

4

8

3