1. Wednesday, October 26 th Please take out your homework and complete warm up Did you write down your homework? 1.Circle the INTEGERS and underline the WHOLE NUMBERS -3, ¼, 7, 0, -5.4, 9 2. Find the product 4.56 x.04

2. Corny Joke of the Day What did the first casket say to the second casket? Is that you COFFIN?

3. Schedule for the Week Wednesday: Ordering and comparing rational numbers Thursday: adding and subtracting decimal integers Friday: Adding and subtracting fraction integers

4. Homework Answers Can you find my mistakes? 1.Rational 2. Rational 3.Irrational 4.Irrational 5.Rational, Whole, Integer 6.Rational, Whole, Integer 7.Irrational 8.Rational: Whole, Integer 9. Irrational 10. Rational: Whole Homework Answers

5. Fraction Test Let’s look over the answers Always ask yourself “does my answer make sense?!?!”

6. Retest? O 75 and above you will complete a packet O 74 and below you are eligible for a reteach O Monday 10/31 will be the reteach O Wednesday 11/2 will be the retest

7. Retest Qualifications O All Homework must from unit must be complete before you retake the test O Retest form O Retake packet must be complete before you retake the test

8. Question of the Day?!?! How do compare and order rational numbers?

10. You can compare and order integers by graphing them on a number line. Integers increase in value as you move to the right along a number line. They decrease in value as you move to the left.

11. Compare the integers. Use. 4 is farther to the right than -4, so 4 > -4. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0 4 -4> The symbol means “is greater than.” Remember!

12. Use a number line to order the integers from least to greatest. –5, 4, –3, 2, –1, –2 The numbers in order from least to greatest are –5, –3, –2, –1, 2, and 4. 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

14. 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

15. 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 numerators.

16. Additional Example 1B: Comparing Fractions Compare the fractions. Write. 2525 3737 – – 2525 – = –2 · 7 5 · 7 = –14 35 3737 – = –3 · 5 7 · 5 = –15 35 – 14 35 > – 15 35, and so – >. 2525 – 3737 Write equivalent fractions with 35 as the denominator. Put the negative signs in the numerators. Both fractions can be written with a denominator of 35. Course 2 2-11 Comparing and Ordering Rational Numbers

17. Compare the fractions. Write. 5656 7878 The LCM of the denominators 6 and 8 is 48. 5656 = 5 · 8 6 · 8 = 40 48 7878 = 7 · 6 8 · 6 = 42 48 40 48 < 42 48, and so. 5656 < 7878 Write equivalent fractions with 48 as the denominator. Check It Out: Example 1A Course 2 2-11 Comparing and Ordering Rational Numbers Compare the numerators.

18. Compare the fractions. Write. 6868 5757 – – 6868 – = –6 · 7 8 · 7 = –42 56 5757 – = –5 · 8 7 · 8 = –40 56 – 42 56 < – 40 56, and so – <. 6868 – 5757 Write equivalent fractions with common denominators. Put the negative signs in the numerators. Check It Out: Example 1B Both fractions can be written with a denominator of 56. Course 2 2-11 Comparing and Ordering Rational Numbers

20. 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

21. Compare the decimals. Write. Additional Example 2A: Comparing Decimals 0.4270.425 0.427 0.425 Since 0.007 > 0.005, 0.427 > 0.425. Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: 7 5 7 > 5. Course 2 2-11 Comparing and Ordering Rational Numbers

22. Compare the decimals. Write. Additional Example 2B: Comparing Decimals 0.730.734 0.733… 0.734 Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: 3 4 3 < 4. Course 2 2-11 Comparing and Ordering Rational Numbers 0.73 = _ Since 0.003 is < 0.004, 0.73 < 0.734.

23. Compare the decimals. Write. 0.5350.538 0.535 0.538 Since 0.005 < 0.008, 0.535 < 0.538. Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: 5 8 5 < 8. Check It Out: Example 2A Course 2 2-11 Comparing and Ordering Rational Numbers

24. Check It Out: Example 2B Course 2 2-11 Comparing and Ordering Rational Numbers Compare the decimals. Write. 0.334 0.3333… 0.334 Line up the decimal points. The tenths and hundredths are the same. Compare the thousandths: 3 4 3 < 4. 0.3 Since 0.003 is < 0.004, 0.3 < 0.334. 0.3 = 0.3 is a repeating decimal.

26. A Helpful Tool Here are the most basic fraction to decimal conversions you will see!!!! You should memorize: ½, ¼, 1/3, 1/5, 1/8, 1/9

27. Write each fraction as a decimal. Additional Example 2: Using Mental Math to Write Fractions as Decimals Course 2 2-10 Equivalent Fractions and Decimals A. 4545 4 5 x 2 = 8 10 = 0.8 Multiply to get a power of ten in the denominator. B. 37 50 x 2 = 74 100 = 0.74 Multiply to get a power of ten in the denominator.

28. Write each fraction as a decimal. Check It Out: Example 2 Course 2 2-10 Equivalent Fractions and Decimals A. 3535 3 5 x 2 = 6 10 = 0.6 Multiply to get a power of ten in the denominator. B. 18 25 x 4 = 72 100 = 0.72 Multiply to get a power of ten in the denominator.

29. Write each decimal as a fraction in simplest form. Additional Example 3: Writing Decimals as Fractions Course 2 2-10 Equivalent Fractions and Decimals A. 0.018 B. 1.55 0.018 = 18 1,000 1.55 = 155 100 = 18 ÷ 2 1,000 ÷ 2 = 155 ÷ 5 100 ÷ 5 = 31 20 or 1 11 20 = 9 500 You read the decimal 0.018 as “eighteen thousandths.” Reading Math

30. Check It Out: Example 3 Insert Lesson Title Here Course 2 2-10 Equivalent Fractions and Decimals Write each decimal as a fraction in simplest form. A. 0.015 B. 1.30 0.015 = 15 1,000 1.30 = 130 100 = 15 ÷ 5 1,000 ÷ 5 = 130 ÷ 10 100 ÷ 10 = 13 10 or 1 3 10 = 3 200

31. Lesson 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

32. 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.