* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Rational Numbers - math with Ms. young
Survey
Document related concepts
History of logarithms wikipedia , lookup
Ethnomathematics wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Infinitesimal wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Location arithmetic wikipedia , lookup
Law of large numbers wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Bernoulli number wikipedia , lookup
Surreal number wikipedia , lookup
Positional notation wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
Transcript
Monday, August 8, 2016 Please take out your math binders and a pencil. Complete the problem of the day. *** = ^^ ^^^^ = ### How many * does one # equal? Do you remember how to classify rational numbers? Review Any Questions? Show what you know! Complete the quiz over rational and irrational numbers! Now is a GREAT time to ask questions. I can explain the rational number system. Learning Target Natural Numbers What are natural numbers? Natural Numbers are the ________________ numbers. We learned to count starting with the number 1. {_____, 2, 3, …} Whole Numbers What are Whole numbers? Whole Numbers are the counting numbers and _________. {0,1, 2, 3, …} Integers What are Integers? Integers are whole numbers and their ________________. {… -3, -2, -1, 0,1, 2, 3, …} Integers are also called ________ and ________Numbers ___________ Numbers The set of numbers that are __________________ than zero. Examples: 2, 4, 6, 8 ___________ Numbers The set of numbers that are __________________ than zero Examples: -1, -3, -5, -7 Rational Numbers What are Rational Numbers? ______________Numbers refers to the set of numbers that can be written in the form a/b where a and b are _____________ and b ≠ 0. “Rational Numbers” Rational Numbers numbers that can represented as a ratio or fraction Integers …-3,-2,-1, 0,1,2,3… Rational Numbers Irrational Numbers Integers Whole Numbers Whole Numbers 0,1,2,3,4,5… Natural Numbers 1, 2, 3, … Natural Numbers a ,b 0 b ∏ Problem of the Day You must be 52 inches tall to ride the new record-breaking roller coaster Valravn. If you are 4 feet 9 inches tall, will you be allowed to ride? Absolute Value The distance between a number and zero on the number line. The symbol for absolute value is |-8| = 8 Number Line What is the absolute value of… |-5| = 5 NEGATIVE FIVE IS 5 SPACES AWAY FROM ZERO ON THE NUMBER LINE. |15| = 15 |-13| = 13 -|24| = -24 the opposite of the absolute value of 24 IF THE NEGATIVE SIGN IS OUTSIDE THE ABSOLUTE VALUE BARS, THEN THE ANSWER IS NEGATIVE! Opposites Two different numbers that have the _same absolute value. This means they are the same distance away from zero! Example: 4 and -4 are opposites because they have the same absolute value. What are the opposites? 1. 8 2. 56 3. -4 4. 15 5. -96 What are the opposites? 1. 8 and -8 2. 56 and -56 3. -4 and 4 4. 15 and -15 5. -96 and 96 Which symbol goes in the blank? < or > 4___>___-3 -16__<____-14 Simplify |-32| + |5| =______ 32 + 5 = 37 -|-17|= -17 The opposite of the absolute value of negative 17 Day Two What is the absolute value of the numbers? 1. |-9| 2. |63| 3. -|-18| Put in order from least to greatest 1.-13, 5, -43, 0, 14 2. -42, -73, -8, -23, -1 Coordinate Plane “Comparing and Ordering Rational Numbers” A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator. 1 2 3 5 12 1 3 1 4 2 5 What Do You See? “EQUIVALENT FRACTIONS” 1 5 2 10 3 15 4 20 6 30 10 50 “Comparing Fractions” Compare the fractions 3 4 and 4 5 . When two fractions have different denominators, write equivalent fractions with common denominators. Then compare the numerators. 3 5 4 5 4 4 5 4 = 15 20 = 16 20 Same denominator, now compare numerators Therefore, 4/5 is greater 3/4. Compare the Following Fractions 1 4 2 7 1 7 4 28 2 8 7 28 1 4 5 12 1 3 5 5 1 4 12 12 3 12 5 12 2 6 3 4 2 4 6 12 3 9 4 12 2 6 < 2 7 > 1 3 < 3 4 “Comparing Decimals” To compare decimals, line up the decimal points and compare the digits from left to right until you find the place where the digits are different. Compare the fractions. Write < or >. 0.81 < 0.84 0.81 0.84 Compare the fractions. Write < or >. 0.34 > 0.342 0.343 4 is greater than 1, so 0.84 is greater than 0.81 0.342 3 is greater than 2, so 0.34 is greater than 0.342 Order the Numbers from Least to Greatest 0.7011, 0.7, 0.71, 0.70, 0.7 Line up numbers by the decimal point Write all decimals in the same place value 0.7011 0.7 0.71 0.70 0.7 0.7011 0.7000 0.7 0.7100 0.71 0.7070 0.70 0.7777 0.7 Place numbers in order from least to greatest Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 2 5 3 , 0.2, 0.67, , 5 8 2 0.4, 0.2, 0.67, 0.625, 1.5 0 0.2 0.4 0.5 0.625 0.67 In order them from least to greatest. 2 5 3 0.2, , , 0.67, 5 8 2 1 1.5 F D Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 1 3 2 , 0.21, , 0.85, 3 5 3 0.3, 0.21, 0.6, 0.85, 0.6, 0 0.21 0.3 0.5 0.6 0.6 0.85 In order them from least to greatest. 0.21, 1 3 2 , , , 0.85 3 5 3 1 1.5 August 14, 2015 2 15 Amanda’s teacher asked her to explain why is a rational number. Explain a procedure that Amanda can use to decide if a number is a rational number or not. (MCC7NS3)