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Mastering Rational Numbers: Comparing and Ordering Fractions and Decimals

Practice comparing and ordering rational numbers, including fractions and decimals. Learn to convert fractions for accurate comparison and identify the relationship between numerators and denominators. Utilize number lines to visualize and order numbers effectively.

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Mastering Rational Numbers: Comparing and Ordering Fractions and Decimals

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  1. 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.

  2. 15) 6.4 17) 0.875 19) 1 21) 1.92 23) 0.8 25) 0.55 27) 1/100 29) -2/25 31) 61/4 or 33) 67/8 or Homework Text p.  80, #15-37 odds, 43-49 odds • 35) 8.75, • 37) • 43) yes • 45) no • 47) yes • 49) no

  3. Objective • SWBAT compare and order fractions and decimals.

  4. 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.

  5. “Rational Numbers” Rational Numbers Rational Numbers numbers that can represented as a ratio or fraction Integers Integers -3,-2,-1, 0,1,2,3… Whole Numbers Whole Numbers 0,1,2,3,4,5…

  6. What Do You See? “EQUIVALENT FRACTIONS”

  7. “Comparing Fractions” • Compare the fractions and . • When two fractions have different denominators, write equivalent fractions with common denominators. Then compare the numerators. = Same denominator, now compare numerators Therefore, 4/5 is greater 3/4. =

  8. Compare the Following Fractions < > <

  9. “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 >. Compare the fractions. Write < or >. < > 0.81 0.84 0.34 0.342 0.81 0.343 4 is greater than 1, so 0.84 is greater than 0.81 3 is greater than 2, so 0.34 is greater than 0.342 0.84 0.342

  10. Order the Numbers from Least to Greatest 0.7011, 0.7, 0.71, 0.70, 0.7 Place numbers in order from least to greatest Line up numbers by the decimal point Write all decimals in the same place value 0.7011 0.7011 0.7011 0.7 0.7000 0.7 0.71 0.71 0.7100 0.70 0.7070 0.70 0.7 0.7777 0.7

  11. Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 0.2 0.4 0 0.5 0.625 0.67 1 1.5 1.5 In order them from least to greatest.

  12. F D Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 0.3 0.21 0 0.5 0.6 0.6 0.85 1 1.5 In order them from least to greatest.

  13. Homework 24 • Text p. 84, #12-40 evens, #47

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