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Ordering/Comparing Real Numbers

HS: High School

Created on October 22, 2024

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Objectives

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

Ordering Real Numbers

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Natural Numbers: Counting Numbers
Whole Numbers: Counting Numbers and Zero
Integers: Whole Numbers and their opposites
Irrational Numbers Decimals that do not terminate or repeat

Examples

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

The Real Number System

Examples

Examples

Examples

Examples

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The Real Number System

Answer

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

The switches the answer mode!

Desmos

Converting Fractions to Decimals Using Desmos

The Real Number System

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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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We call them"imaginary"

Some numbers do not belong to the Real Number System.

That's UNREAL!

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Greater Than Less Than Equal To

> < =

Comparing Real Numbers

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ANSWER

Order the values from Least to Greatest!

Comparing Real Numbers

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Comparing Real Numbers

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6/10

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7/10

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8/10

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Next

You did it! Now let's talk about GCF!