1. Do Now Write each mixed number as an improper fraction. 1. 1 3. 1 7474 23 8 11 6 Course 2 2-11 Comparing and Ordering Rational Numbers 3434 5656 2. 2 7878 4. 8 1 12 97 12 Hwk: p 23

2. Problem of the Day Hot dogs are sold in packs of 6. Buns are sold in bags of 8. What is the least number of hot dog packages and the least number of bun packages you would need to buy in order to have the same number of hot dogs and buns? 4 packages of hot dogs and 3 packages of buns Course 2 2-11 Comparing and Ordering Rational Numbers

3. EQ: How do I compare and order fractions and decimals? Course 2 2-11 Comparing and Ordering Rational Numbers M7N1.b Compare and order rational numbers, including repeating decimals; M7N1.d Solve problems using rational numbers

4. Pop quiz Write problem and circle answer Except #7 Don’t forget your name

5. Quiz Write each fraction as a decimal. 1. 3. 4. Write each decimal as a fraction in simplest form. 5. 0.42 7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 2.625 3.2 Insert Lesson Title Here 21 50 69 8 Course 2 2-10 Equivalent Fractions and Decimals 16 5 2. 21 8 6. 8.625 0.70 7 10 11 20 0.55 0.7 5858 or 8

6. Vocabulary rational number Insert Lesson Title Here Course 2 2-11 Comparing and Ordering Rational Numbers

7. A rational number is a number that can be written as a fraction with integers for its numerator and denominator. When rational numbers are written in a variety of forms, you can compare the numbers by writing them all in the same form. Course 2 2-11 Comparing and Ordering Rational Numbers

8. Which is greater, or ? 7979 2929 When two fractions have the same denominator, just compare the numerators. 7979 > 2929 because 7 > 2. = 7979 = 2929 Course 2 2-11 Comparing and Ordering Rational Numbers

9. Compare the fractions. Write. Additional Example 1A: Comparing Fractions 7979 5858 7979 > 5858 Course 2 2-11 Comparing and Ordering Rational Numbers

10. Additional Example 1B: Comparing Fractions Compare the fractions. Write. 2525 3737 – – >. 2525 – 3737 Course 2 2-11 Comparing and Ordering Rational Numbers –

11. Compare the fractions. Write. 5656 7878 5656 < 7878 Check It Out: Example 1A Course 2 2-11 Comparing and Ordering Rational Numbers

12. Compare the fractions. Write. 6868 5757 – – – <. 6868 – 5757 Check It Out: Example 1B Course 2 2-11 Comparing and Ordering Rational Numbers

13. 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. Course 2 2-11 Comparing and Ordering Rational Numbers

14. Compare the decimals. Write. Additional Example 2A: Comparing Decimals 0.4270.425 0.427 0.425 0.427 > 0.425. Line up the decimal points. The tenths and hundredths are the same. 7 5 Course 2 2-11 Comparing and Ordering Rational Numbers

15. Compare the decimals. Write. Additional Example 2B: Comparing Decimals 0.730.734 0.733… 0.734 The tenths and hundredths are the same. 3 4 Course 2 2-11 Comparing and Ordering Rational Numbers 0.73 = _ 0.73 < 0.734. _

16. Compare the decimals. Write. 0.5350.538 0.535 0.538 0.535 < 0.538. The tenths and hundredths are the same. 5 8 5 < 8. Check It Out: Example 2A Course 2 2-11 Comparing and Ordering Rational Numbers

17. Compare the decimals. Write. Check It Out: Example 2B 0.334 0.3333… 0.334 Compare the thousandths: 3 4 3 < 4. Course 2 2-11 Comparing and Ordering Rational Numbers 0.33 = __ 0.33 < 0.334. __ 0.3

18. Course 2 2-11 Comparing and Ordering Rational Numbers The values on a number line increase as you move from left to right. Remember!

19. Order 4545 0.93, and 0.9 from least to greatest., 4545 = 0.80 Graph the numbers on a number line. 0 0.2 0.4 0.6 0.8 1 0.93 0.93 = 0.930.9 = 0.90 Course 2 2-11 Comparing and Ordering Rational Numbers 0.80 < 0.90 < 0.93Compare the decimals in order. 4545 From least to greatest, the numbers are, 0.9, 0.93.

20. Order, 0.84, and 0.7 from least to greatest. 3535 3535 = 0.60 Graph the numbers on a number line. 0 0.2 0.4 0.6 0.8 1 0.84 0.84 = 0.84 0.7 = 0.70 Course 2 2-11 Comparing and Ordering Rational Numbers 0.60 < 0.70 < 0.84Compare the decimals in order. 3535 From least to greatest, the numbers are, 0.7, 0.84.

21. QUIZ

22. Quiz Compare the fractions. Write > or <. 1. Compare the decimals. Write. 3. 0.32 and 0.312 Insert Lesson Title Here > 3737 or 4 10 5858 or 2323 2. < > 5656 0.8, 0.826, 5656 4. Order, 0.8, 0.826 from least to greatest. Course 2 2-11 Comparing and Ordering Rational Numbers