"Real"
Numbers *do
not include imaginary or
complex
numbers*.

Only the following types
of numbers are
"real"
numbers:

Rational
Numbers:
Rational numbers are
numbers which can be
represented by a
ratio (a fraction).

Fractions

All
Fractions . .
.

Decimals -
two separate types of
decimals are rational
numbers

**only**
terminating and repeating
decimals . . .

(Non-terminating,
non-repeating decimals
such as π (≈
3.14159...), Euler's
mathematical constant
*e* (≈
2.71828...), or √2
(≈ 1.4142...) are
not rational numbers.
They are called
irrational numbers.)

Natural
Numbers -
(counting numbers)

1, 2,
3, 4, 5, . . .

Whole
Numbers -
(counting numbers plus
zero)

0, 1,
2, 3, 4, 5, . .
.

Integers -
(whole numbers plus
negative whole
numbers)

. . .
-5, -4, -3, -2, -1, 0, 1,
2, 3, 4, 5, . .
.

Irrational
Numbers:
Irrational numbers
are numbers whose
decimal equivalent
is non-terminating
and does not have a
repeating pattern.

The following
examples
of "real"
numbers are
shown on the
number line ,
below:

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To

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click
here

Rational
Numbers:
examples:

Fraction

Decimal

-1.5

Natural
Number

8

Whole
Number

0

Integer

-4

Irrational
Number:
example:

Number
Line