Ordering/Comparing Real Numbers

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Ordering Real Numbers

* classify numbers as natural numbers, whole numbers, integers, rational, and/or irrational compare* order real numbers

Objectives

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Examples

Examples

Examples

Examples

The Real Number System

Rational Numbers: can be written as a fraction Decimals that terminate or repeat

Examples

Irrational Numbers Decimals that do not terminate or repeat

Integers: Whole Numbers and their opposites

Whole Numbers: Counting Numbers and Zero

Natural Numbers: Counting Numbers

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

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

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

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Answer

The Real Number System

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The Real Number System

Converting Fractions to Decimals Using Desmos

Desmos

The switches the answer mode!

Both do not terminate, but notice how the irrational number DOES NOT have the option to be converted to a fraction.

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1/10

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2/10

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3/10

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4/10

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5/10

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5/10

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That's UNREAL!

Some numbers do not belong to the Real Number System.

We call them"imaginary"

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Comparing Real Numbers

> < =

Greater Than Less Than Equal To

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Comparing Real Numbers

Order the values from Least to Greatest!

ANSWER

A

B

C

D

E

F

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Comparing Real Numbers

3.3 > 3.2

|-1.8| = 1.8

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6/10

A

B

C

D

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7/10

A

B

C

D

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8/10

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