* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download 2016-09-09 Classifying and Converting Numbers .notebook
Survey
Document related concepts
Ethnomathematics wikipedia , lookup
Approximations of π wikipedia , lookup
Law of large numbers wikipedia , lookup
History of logarithms wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Infinitesimal wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Location arithmetic wikipedia , lookup
Surreal number wikipedia , lookup
Bernoulli number wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Large numbers wikipedia , lookup
Positional notation wikipedia , lookup
Real number wikipedia , lookup
Transcript
20160909 Classifying and Converting Numbers .notebook September 09, 2016 Friday 9/9/2016 Do Now: - Take out notebooks - Take out syllabus - Copy HW Objective: To Classify Numbers into their Respective Sets Classifying #'s Worksheet May 310:17 AM Name some Sets of Numbers and provide examples of values that belong in those sets: Aug 239:21 AM Vocabulary: Natural Numbers: Whole Numbers: 0, 1, 2, 3... Integers: whole numbers and their opposites ...3,2,1,0,1,2,3... Aug 182:38 PM Sep 227:54 AM 20160909 Classifying and Converting Numbers .notebook September 09, 2016 Classify the following as whole, integer, rational. Vocabulary: Rational Number: is a number that can be a written as a ratio in the form , where a and b b are integers and b = 0. 10 Examples : 1 2 2 3 3.2 4 Whole Integer Rational 10 9 2 3 What about 0.6? or 0.333333...? Sep 228:09 AM Aug 239:27 AM Classifying Numbers Every Rational Number can be expressed as either a terminating or repeating decimal. Aug 239:26 AM 2 5 , 0.6, 2 , 24 3 Sep 228:14 AM 20160909 Classifying and Converting Numbers .notebook September 09, 2016 Irrational NumberEvery repeating decimal or terminating decimal is a rational number What do we call numbers that do not terminate and do not repeat? a nonrepeating, nonterminating decimal, a that cannot be written in the form b where a and b are integers (b = 0). How can we prove these are irrational numbers: 2 0.030030003000030000030000003... Aug 3110:30 AM Aug 3110:32 AM Real Numbers: The set of rational and irrational numbers combined 7 Sep 228:13 AM Aug 3111:24 AM 20160909 Classifying and Converting Numbers .notebook September 09, 2016 True or False? Every integer is a rational number. Whole numbers can be negative. Every rational number can be written as a repeating decimal. Aug 3111:25 AM Approximating Irrational Numbers Using Square Roots of Perfect Squares : You will get a rational number that is close to, but not equal to the value of the number. REMEMBER: Aug 239:31 AM Estimate the following, to the nearest tenth without your calculator!! 71 19 Every nonperfect square falls between 2 perfect squares Example: 30 Approximate the following numbers to the nearest tenth What perfect squares is 30 between? 205 14 Aug 3110:36 AM Oct 45:49 PM 20160909 Classifying and Converting Numbers .notebook Sep 61:44 PM September 09, 2016