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Do Now 10/26/11 Take out your HW from last night. – Text p. 80, #15-37 odds, 43-49 odds Copy HW in your planner. – Text p. 84, #12-40 evens, #47 – Quiz on sections 2-6 & 2-7 Friday With the person next to you, complete the Exploration handout on “Comparing and Ordering Rational Numbers” #1-10. Homework Text p. 80, #15-37 odds, 43-49 odds 15) 6.4 17) 0.875 19) 1 21) 1.92 23) 0.8 25) 0.55 27) 1/100 29) -2/25 1 15 31) 61/4 or 4 3 8 33) 67/8 or 8 35) 37) 43) 45) 47) 49) 8 8.75, 5 1 , 5 20 yes no yes no 6 8 5 100 Objective SWBAT compare and order fractions and decimals. Section 2-7, “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 3 12 2 5 1 1 3 2 4 5 “Rational Numbers” Rational Numbers Integers Integers -3,-2,-1, 0,1,2,3… a Whole Numbers Whole Numbers 0,1,2,3,4,5… Rational Numbers numbers that can represented as a ratio or fraction b ,b 0 What Do You See? “EQUIVALENT FRACTIONS” 1 2 3 5 10 15 4 6 10 20 30 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 = 20 15 = 20 16 Same denominator, now compare numerators Therefore, 4/5 is greater 3/4. Compare the Following Fractions 1 2 1 4 7 4 5 1 5 12 3 12 2 3 2 6 4 6 7 2 28 7 1 28 4 4 5 12 5 1 12 3 12 4 3 9 2 12 4 12 6 8 < 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 , 0 . 2 , 0 . 67 , 5 5 , 8 3 2 0 . 4 , 0 . 2 , 0 . 67 , 0 . 625 , 1 . 5 0 0.2 0.4 0.5 0.625 0.67 1 In order them from least to greatest. 0 .2 , 2 5 , 5 8 , 0 . 67 , 3 2 1.5 F D Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 1 , 0 . 21 , 3 3 , 0 . 85 , 5 2 3 0 .3, 0 . 21 , 0 . 6 , 0 . 85 , 0 .6 , 0 0.21 0.3 0.5 0.6 0.6 0.85 1 In order them from least to greatest. 0 . 21 , 1 3 , 3 5 , 2 3 , 0 . 85 1.5 24 Homework – Text p. 84, #12-40 evens, #47