1. Bellringer 1.1. Jesse bakes 2 apple pies and plans to share them with his 4 friends. Adrian will get ⅝ of a pie, London will get ⅙ of a pie, Mal will get ⁵⁄₁₇ of a pie, and Leron will get 27.5% of a pie. List the friends in order by who will get the most to the least. 2.Convert.82 to a fraction. What is the rule for converting a decimal to fraction? 3.If Adrian jogged ⁷⁄₂₀ of 3 miles, how far did she jog? TALKING AND TIME OFF TASK = 0%

2. Objective Objective: Compare and order Rational numbers Objective Objective: Compare and order Rational numbers

3. Vocabulary Vocabulary: Rational Numbers Irrational Number Common Denominator Least Common Denominator Vocabulary Vocabulary: Rational Numbers Irrational Number Common Denominator Least Common Denominator

4. What is a rational number??? Rational Number: any number that can be expressed as a fraction Ex. Fractions, decimals, %’s, and integers (whole #’s that are + and -)

5. Examples of Rational Numbers Rational Numbers Integers Whole Numbers 5 -3 -35 6 2.22 20% -5 0.8 -1.444… 1.3 1212 -27 1 35 3

6. Irrational Number Irrational Number: a number that does not terminate AND does not repeat

7. Pi (π) is an irrational number… 3.1415926535897932384626433832795028841971693993751 05820974944592307816406286208998628034825342117067 98214808651328230664709384460955058223172535940812 84811174502841027019385211055596446229489549303819 64428810975665933446128475648233786783165271201909 14564856692346034861045432664821339360726024914127 37245870066063155881748815209209628292540917153643 67892590360011330530548820466521384146951941511609 43305727036575959195309218611738193261179310511854 80744623799627495673518857527248912279381830119491

8. Common Denominator Common Denominator: A common number that both denominators fit into Examples

9. Comparing Rational Numbers Which is greater, or ? 7979 2929 When two fractions have the same denominator, just compare the numerators. > because 7 > 2. 7979 2929

10. Least Common Denominator (LCD) Least Common Denominator (LCD): smallest the smallest number that both denominators will fit into. Examples

11. Which is greater, or ? 3434 4545 When two fractions have different denominators, find the LCD, then compare.

12. Which is greater, or ? 3434 4545 The LCD of the denominators 4 and 5 is 20. Answer: What’s the LCD of both fractions?

13. Compare the Following Fractions < > <

14. Compare the fractions. Write. Additional Example 1A: Comparing Fractions 7979 5858 The LCM of the denominators 9 and 8 is 72. 7979 = 7 · 8 9 · 8 = 56 72 5858 = 5 · 9 8 · 9 = 45 72 56 72 > 45 72, and so. 7979 > 5858 Write equivalent fractions with 72 as the denominator. Course 2 2-11 Comparing and Ordering Rational Numbers Compare the numbers.

15. Ordering Rational Numbers To put decimals in order, line up the decimal points and compare using place value.

16. Ordering Rational Numbers 0.4270.425 Compare the decimals 0.427 0.425 > Compare the numbers that are different… 7 > 5 so…

17. Order Additional Example 3: Ordering Fractions and Decimals 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 Write as decimals with the same number of places. 0.93 = 0.93 0.9 = 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,.

18. Lesson Practice 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