Classifying Numbers 8th grade Math Numeration Unit 7 π -36 ¾ 0 2.12122. Number Types Whole Integers Rational Numbers Irrational Numbers Which is which? How can you tell them apart? Whole Numbers The Counting Numbers including 0. Ex:
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Presentation Transcript
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Classifying Numbers 8th grade Math – Numeration Unit 7 π -√36 ¾ 0 2.12122….<br>
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Number Types Whole
Integers
Rational Numbers
Irrational Numbers
Which is which?
How can you tell them apart?<br>
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Whole Numbers The Counting Numbers including 0.
Ex: 0,1,2,3,4,5…… 235 9 12 101 43<br>
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Integers Positive and negative whole numbers.
-3,-2,-1,0,1,2,3…….
How are integers and whole numbers related? -27 19 -132<br>
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Whole Numbers = Integers All whole numbers are integers because integers include both positive and negative whole numbers.<br>
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Rational Numbers Numbers that can be written as a fraction a/b.
Numbers that have terminating decimals.
Numbers that have repeating decimals.
Rational Numbers = Integers = Whole Numbers All rational numbers are integers and whole numbers because you can make them into a ratio (or fraction) by putting a 1 under it.
24/1, -8/1, 567/1, -76/1, 24/3, -64/8<br>
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Irrational Numbers Numbers that cannot be made into a simple fraction; they have a decimal that keeps going and going.
π , √2 , 4.23233…. , -√8 Pi Pi<br>
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Are Irrational Numbers Related? Irrational Numbers are by themselves because they cannot be made into fractions (rational numbers) or cannot be a positive or negative whole number since there is no decimal. Irrational Numbers<br>
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Let’s Practice! State which type of number these examples are:<br>
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Practice Continued State which type of number these examples are:<br>
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Answers<br>
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Quiz Place these numbers into the correct category on the chart to prove your understanding.
-3, 27/3, π, 4.68, √13, -√49, 3.14144…, 8, ¼, 3.25, 61, .8 repeating, √144, -30/5, 244/2, 0 Irrational Numbers<br>
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How did you do? Irrational Numbers -3 27/3 π 4.68 √13 -√49 3.14144… 8 ¼ 3.25 61 .8 repeating √144 -30/5 244/2 0<br>
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Explanation Time! Explain with a chart how these types of numbers are related and give examples of each:
Whole numbers
Integers
Rational Numbers
Irrational Numbers
Which is which?
How can you tell them apart?<br>
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Conclusion Remember: All whole #’s are integers and all integers and whole #’s are rational #’s<br>
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References http://www.examiner.com/math-education-in-dallas/history-of-pi
Pi picture
Microsoft PowerPoint SmartArt
Graphic organizers<br>
