Real Numbers . . .

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Real Numbers include all numbers whose decimal form can be represented graphically, as a point located on a number line.

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

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

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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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Rational Numbers: examples:

Fraction

$Fraction - one-half$

Decimal

-1.5

Natural Number

Whole Number

Integer

-4

Irrational Number: example:

$Irrational Number - Pi$

$Number Line - showing examples$

Number Line

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Example Problems - Geometric Sequence

Example Problems - Arithmetic Sequence

Example Problems - Rationalize the Denominator

Example Problems - Quadratic Equations

Example Problems - Work Rate Problems

Example Problems - statistics

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Real Numbers
. . .
The practical numbers of
everyday life . . .

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Example Problems - Geometric Sequence

Example Problems - Arithmetic Sequence

Example Problems - Rationalize the Denominator

Example Problems - Quadratic Equations

Example Problems - Work Rate Problems

Example Problems - statistics

+1 Solving-Math-Problems

Real Numbers . . . The practical numbers of everyday life . . .

Real Numbers
. . .
The practical numbers of
everyday life . . .