# Classifying Numbers - Lakewood High School

7 36 CLASSIFYING NUMBERS 0 2.12 1 22 . 8th grade Math Numeration Unit 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: 0,1,2,3,4,5 9 43 23 5 10 1

12 Integers Positive and negative whole numbers. -3,-2,-1,0,1,2,3. How are integers and whole numbers related? -27 19 132 Whole Numbers = Integers All whole numbers are integers because integers include both positive and

negative whole numbers. Integers Whole Numbers Rational Numbers Numbers that can be written as a fraction a/b. Numbers that have terminating decimals. Numbers that have repeating decimals. 4.375 = 4 375/1000 = 4 3/8 2.5 = 2 5/10 = 2 1/2 0.3 repeating = 3/9 = 1/3

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 Rational Number Integer Whole Irrational Numbers Numbers that cannot be made into a simple fraction; they have a decimal that keeps going and going. , 2 , 4.23233. , -8

Pi Pi 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. Rational Number Irration al Number s Integer Whole Lets Practice!

State which type of number these examples are: Type of Number 0 47 24/8 56/1 279 Type of Number 2.454554555. 6

-3.4224222. -10 Practice Continued State which type of number these examples are: Type of Number -4 -100 -12 -81/9 -25 Type of Number

2.45 -.6 repeating 34 -7.5 Answers Whole 0 47 24/8 56/1 279 Irrational 2.454554555

. 6 -3.4224222. -10 Integer -4 -100 -12 -81/9 -25 Rational 2.45 -.6 repeating 34 -7.5

Quiz Place these numbers into the correct category on the chart to prove your understanding. -3, 27/3, , 4.68, 13, -49, 3.14144, 8, , 3.25, 61, .8 repeating, 144, -30/5, 244/2, 0 Irration al Number s Rational Number Integer Whole How did you do? .8 repeating

13 Irrational Numbers 3.25 4.68 -3 -49 Rational Number -30/5 27/3 3.14144 Integer 8 244/2

Whole 61 0 14 4 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? Any number that cannot be made into a fraction. 2.34344., 11, Irrational Number The counting numbers. 0, 3, 5, 18, 53, 721, 8943 Integer Any + o r whole

number. -712, 53, -4/2, -9, Whole Number Can be made into a fraction a/b. , 4.25, 8, -3, .7 repeating Rational Number Conclusion All : r e b m Reme

are s # e whol d all n a s r intege nd whole rs a e g e l #s t a in n o i t e ra #s ar

References http://www.examiner.com/math-educatio n-in-dallas/history-of-pi Pi picture Microsoft PowerPoint SmartArt Graphic organizers

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