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Real numbers
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Slide 1

Two Kinds of Real Numbers

Two Kinds of Real Numbers

Rational Numbers

Irrational Numbers

Slide 2

Real numbers

Real numbers

(as opposed to fake numbers?)

Slide 3

Two Kinds of Real Numbers

Two Kinds of Real Numbers

Rational Numbers

Irrational Numbers

Slide 4

Rational Numbers

Rational Numbers

A rational number is a real number that can be written as a ratio of two integers.

A rational number written in decimal form is terminating or repeating.

Slide 5

Examples of Rational Numbers

Examples of Rational Numbers

16

1/2

3.56

-8

1.3333…

- 3/4

Slide 6

Irrational Numbers

Irrational Numbers

An irrational number is a number that cannot be written as a ratio of two integers.

Irrational numbers written as decimals are non-terminating and non-repeating.

Slide 7

Examples of Irrational Numbers

Examples of Irrational Numbers

Square roots of non-perfect “squares”

Pi

17

Slide 8

Integers

Integers

One of the subsets of rational numbers

Slide 9

What are integers?

What are integers?

Integers are the whole numbers and their opposites.

Examples of integers are

6

-12

0

186

-934

Slide 10

Integers are rational numbers because they can be written as fraction with 1 as the denominator.

Integers are rational numbers because they can be written as fraction with 1 as the denominator.

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