Rational and Irrational Numbers

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Presentation transcript:

Rational and Irrational Numbers Types of Decimals 1) Repeating    ex) .23 2) Terminating (stops)  ex) .5342 3) Nonrepeating, Nonterminating  ex) 8 = 2.828427125. . .

Types of Numbers examples: Includes: Terminating Decimals and 1. rational # - a # that can be written as a fraction Includes: Terminating Decimals and Repeating Decimals examples:

examples: 2. irrational # - a # that can't be written as a fraction  Nonterminating   Nonrepeating examples:

Classifying #s 1. 7 22 2. 4 5 3. 2 Rational Irrational Terminating 1. 7  22 2. 4 5 3. 2 Irrational Terminating Repeating Nonterminating, Nonrepeating

3. 9 20 4. 13 5. 9 Rational Irrational Terminating Repeating 3. 9  20 4. 13 5. 9 Irrational Terminating Repeating Nonterminating, Nonrepeating

Comparing Numbers 1. 6 3 2. 7 49 3. 1     1 9 9 = > <

Where do these numbers belong? Place the rational and irrational numbers where they belong on the  number line below. 4 7 8.47291... √2 √25 √9 -5.6 -7 9 -9.75 √33 -5 √4