Course Comparing and Ordering Rational Numbers Warm Up Write each fraction as a decimal

Course Comparing and Ordering Rational Numbers Problem of the Day How much pie do you have if you take 2 of 5 total pieces? 0.4 pie

Course Comparing and Ordering Rational Numbers Learn to compare and order positive and negative rational numbers written as fractions, decimals, and integers. TB P

Course Comparing and Ordering Rational Numbers least common denominator (LCD) Vocabulary

Course Comparing and Ordering Rational Numbers To compare or order rational numbers, first write them in the same form. To compare fractions, find a common denominator. This could be the least common denominator (LCD), which is the least common multiple of the denominators.

Course Comparing and Ordering Rational Numbers Remember! The least common multiple (LCM) of two numbers is the smallest number, other than 0, that is a multiple of both numbers.

Course Comparing and Ordering Rational Numbers Additional Example 1A: Comparing Fractions by Finding a Common Denominator Compare. Write, or =. Multiply 6 and 10 to find a common denominator Write the fractions with a common denominator. Compare the fractions. Method 1: Multiply to find a common denominator. 6  10 = 60 5  10 6  10 = 5656  10 =  6 10  6 = 7 10  6 = > 42 60,so 7 10 > >

Course Comparing and Ordering Rational Numbers Additional Example 1B: Comparing Fractions by Finding a Common Denominator Compare. Write, or =. List multiples of 3 and 5. The LCM is Write the fractions with a common denominator. Compare the fractions. Method 2: Find the least common denominator. 3; 3, 6, 9, 12, 15… 5; 5, 10, 15 2  5 3  5 = 2323  5 =  3 5  3 = 4545  3 = < 12 15,so 4545 < >

Course Comparing and Ordering Rational Numbers A. 5 5 Additional Example 2A: Comparing by Using Decimals Compare. Write, or = _ 2727 _ Write the fractions as decimals. 5 = 5.2 and 5 = … 2929 _ 2727 _ _ 5.2 < …, so 5 < 5 _ 2929 _ 2727 _ Compare the decimals. <

Course Comparing and Ordering Rational Numbers B. –0.44 – Additional Example 2B & 2C: Comparing by Using Decimals Compare. Write, or = _ – = – _ –0.44 < –0.4, so –0.44 < – 2525 _ Compare the decimals. < Write - as decimal _ C _ Compare the decimals. Write as decimal _ > 1919 _ = > 0.1, so > _

Course Comparing and Ordering Rational Numbers To order fractions and decimals, you can either write them all in the same form and then compare them, or place them on a number line.

Course Comparing and Ordering Rational Numbers Additional Example 3: Social Studies Application The numbers, –3.4, 6.0, and –2.5 represent the percentage of change in populations for four states. List these numbers in order from least to greatest __ –4 –3 –2 – –2.5  6.0  Place the numbers on a number line and read them from left to right.  –3.4  14 4 __ 14 4 The percent changes in population from least to greatest are –3.4, –2.5,, and 6.0. __

Course Comparing and Ordering Rational Numbers Lesson Quiz Compare. Write, or = – – Sarah competed in a long-jump contest. Her first jump was 3.75 m, her second jump was 3 m, and her third jump was 3 m. Which jump was the longest? 3. –2 –2 > > < 1212 second jump