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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm -Up. Absolute Value |- 11 + 10| = |-17 | = Add, Subtract, Multiply or Divide -13 • 7 = -45 ÷ -9 = -17 + -7 = -45 – (-15 )=.

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm -Up Absolute Value |-11 + 10| = |-17| = Add, Subtract, Multiply or Divide -13 • 7 = -45 ÷ -9 = -17 + -7 = -45 – (-15)= For one day, Lacy recorded the low temperatures in five U.S. cities. The temperatures were: 5ºC, -1ºC, -3ºC, 2ºC, and 0ºC. Write the temperatures in order from least to greatest.

  3. Opening The table shows the population of three states according to the 2000 census. Order the states based on the population from least to greatest

  4. Vocabulary terminating decimal repeating decimal non-terminating/non-repeating

  5. Terminating Decimals: A decimal number in which the digits stops, or terminates. Ex. 0.23 = Repeating Decimal: A decimal number in which a digit or group of digits repeats without end. Only digits under the bar notation are repeated. Ex. = 0.3333333… =

  6. Non-terminating/Non-repeating A decimal number that does not have repeating digits or never terminates. These are called irrational numbers. These decimals cannot be written as a fraction

  7. 1.00 Additional Example 1: Writing Fractions as Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 9 5 5 3 1 4 B. C. A. 1 .8 1 .6 6 6 0.2 5 9.0 5 5.000 3 4 – 8 – 3 – 5 20 20 40 – 20 – 18 – 40 20 0 0 – 18 9 5 5 3 1 4 = 1.8 ≈ 1.67 = 0.25 20 – 18 2

  8. Helpful Hint You can use a calculator to check your division: 1 9 5 33 4 = 0.25 ÷ 1.8 5 ÷ = 3 1.66… ÷ =

  9. 3.00 Check It Out: Example 1 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 6 5 7 3 3 4 B. C. A. 1 .2 2 .3 3 3 0.7 5 6.0 5 7.000 3 4 – 2 8 – 6 – 5 20 10 10 – 20 – 9 – 10 10 0 0 – 9 6 5 7 3 3 4 = 1.2 ≈ 2.33 = 0.75 10 – 9 1

  10. The decimals 0.75 and 1.2 in Example 1 are terminating decimalsbecause the decimals comes to an end. The decimal 0.333…is a repeating decimalbecause the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part. 0.333… = 0.3 0.8333… = 0.83 0.727272… = 0.72

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

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

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

  14. Check It Out: Example 3 Write each decimal as a fraction in simplest form. B. 1.30 A. 0.015 15 1,000 130 100 0.015 = 1.30 = 130 ÷ 10 100 ÷ 10 15 ÷ 5 1,000 ÷ 5 = = 3 200 3 10 13 10 = or 1 =

  15. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  16. 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? 16 5 21 8 2.625 3.2 2. 7 10 11 20 0.55 0.7 5 8 69 8 21 50 6. 8.625 or 8 0.70

  17. Lesson Quiz for Student Response Systems 1. Which of the following represents the fraction as a decimal? A. 3.4 B. 3.5 C. 3.6 D. 3.7 18 5

  18. Lesson Quiz for Student Response Systems 2. Which of the following represents the fraction as a decimal? A. 0.65 B. 0.75 C. 0.85 D. 0.95 13 20

  19. Lesson Quiz for Student Response Systems 3. Which of the following represents the decimal 0.32 as a fraction in simplest form? A. C. B.D. 6 25 8 25 7 25 1 5

  20. Lesson Quiz for Student Response Systems 4. Which of the following represents the decimal 6.125 as a fraction in simplest form? A. or 8 C. or 6 B. or 6 D. or 6 37 6 1 6 49 6 1 6 49 8 31 5 1 8 1 5

  21. Lesson Quiz for Student Response Systems 5. If Rita scores 34 out of 50 in a class test, what is Rita’s scoring rate? A. 0.65 B. 0.66 C. 0.67 D. 0.68

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