3-6 Comparing & Ordering Rational Numbers

1. Left side: Right side: Page number: Lesson title: Comparing & Ordering Rational Numbers Learning goal: (write the objective in your own words) What I know: (Write 1 or 2 sentences explaining what you already know about the lesson) 3-6 Comparing & Ordering Rational Numbers Objective: I can compare & order rational numbers. Vocabulary: Rational Number: a number that can be written as a fraction OR quotient of integers with a nonzero denominator. Foldable:

2. California Standards NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also covered: NS2.4

3. Vocabulary rational number

4. 3 8 = 1 2 = One way to compare fractions with unlike denominators is to use models. For example, the models show that < . 1 2 3 8 Another way to compare fractions with unlike denominators is to first write equivalent fractions with common denominators. Then compare the fractions.

5. INSIDE FOLDABLE To compare decimals, line up the decimal points and compare digits from left to right until you find the place where the digits are different.

6. BELOW FOLDABLE

7. 0.73 is a repeating decimal. __ 0.73 = Since 0.003 is < 0.004, THEN 0.73 < 0.734. Additional Example 2B: Comparing Decimals Compare the decimals. Write < or >. 0.73 0.734 0.733… 3 Line up the decimal points. The tenths and hundredths are the same. 0.734 4 Compare the thousandths: 3 < 4.

8. 0.3 0.3 = 0.3 is a repeating decimal. Since 0.003 is < 0.004, THEN 0.3 < 0.334. YOUR TURN! ON YOUR WHITE BOARD Compare the decimals. Write < or >. 0.334 0.3333… 3 Line up the decimal points. The tenths and hundredths are the same. 0.334 4 Compare the thousandths: 3 < 4.

9. 0 0.2 0.4 0.6 0.8 1 Additional Example 3: Ordering Fractions and Decimals 4 5 , 0.93, and 0.9 from least to greatest. Order Write as decimals with the same number of places. 4 5 = 0.80 0.93 = 0.93 0.9 = 0.90 Graph the numbers on a number line. 0.80 < 0.90 < 0.93 Compare the decimals. 4 5 From least to greatest, the numbers are , 0.9, 0.93.

10. YOUR TURN! ON YOUR WHITE BOARD 3 5 Order , 0.84, and 0.7 from least to greatest. Write as decimals with the same number of places. 3 5 = 0.60 0.84 = 0.84 0.7 = 0.70 Graph the numbers on a number line. 0.60 < 0.70 < 0.84 Compare the decimals. 3 5 From least to greatest, the numbers are , 0.7, 0.84.

11. 0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90 3-6 Ticket out the door Order , 0.8, 0.826 from least to greatest. Graph the numbers on a number line. 5 6