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Objective

Compare and order rational numbers, including fractions and decimals, through equivalent representations and number line plots. Learn to identify rational numbers, integers, and whole numbers in mathematical contexts. Practice comparing fractions and decimals by aligning decimal points and understanding their relative values. Sharpen your skills in ordering numbers from least to greatest using various methods.

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Objective

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Presentation Transcript

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

  2. 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.

  3. “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…

  4. What Do You See? “EQUIVALENT FRACTIONS”

  5. “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. =

  6. Compare the Following Fractions < > <

  7. “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

  8. 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

  9. 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.

  10. 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.

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