advertisement

CLASSIFYING NUMBERS 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…… Integers Positive and negative whole numbers. -3,-2,-1,0,1,2,3……. How are integers and whole numbers related? 19 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 How do rational numbers relate? 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. π , √2 , 4.23233…. , -√8 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 Integer Irrational Numbers Whole Let’s 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 π -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 ½ ¾ -7.5 Answers Irrational Whole • • • • • 0 47 24/8 56/1 279 • • • • • 2.454554555…. √6 π -3.4224222…. -√10 Integer • • • • • -4 -√100 -12 -81/9 -√25 Rational • 2.45 • -.6 repeating • 34 ½ • ¾ • -7.5 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 Rational Number Integer Irrational Numbers Whole How did you do? Rational Number ¼ .8 repeating π √13 Irrational Numbers 3.25 4.68 -3 Integer -√49 -30/5 27/3 3.14144… 8 244/2 Whole 0 61 √144 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? The counting numbers. 0, 3, 5, 18, 53, 721, 8943 Irrational Number Any + o r – whole number. -712, -53, -4/2, -√9, Whole Number Can be made into a fraction a/b. ¼ , 4.25, 8, -3, .7 repeating Integer Rational Number Conclusion Any number that cannot be made into a fraction. 2.34344…., √11, π References http://www.examiner.com/math-education-indallas/history-of-pi Pi picture Microsoft PowerPoint SmartArt Graphic organizers