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Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Targeted TEKS Key Concept: Rational Numbers Example 1: Write a Fraction as a Decimal Example 2: Write a Mixed Number as a Decimal Example 3: Round a Repeating Decimal Example 4: Write a Decimal as a Fraction

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  1. Five-Minute Check (over Chapter 1) Main Idea and Vocabulary Targeted TEKS Key Concept: Rational Numbers Example 1: Write a Fraction as a Decimal Example 2: Write a Mixed Number as a Decimal Example 3: Round a Repeating Decimal Example 4: Write a Decimal as a Fraction Example 5: Write a Decimal as a Fraction Lesson 1 Menu

  2. Express rational numbers as decimals and decimals as fractions. • rational number • terminating decimal • repeating decimal • bar notation Lesson 1 MI/Vocab

  3. Reinforcement of TEKS 7.1 The student represents and uses numbers in a variety of equivalent forms. (B)Convert between fractions, decimals, whole numbers, and percents mentally,on paper, or with a calculator. Lesson 1 TEKS

  4. Key Concept

  5. Write as a decimal. 14 12 8 0 Write a Fraction as a Decimal 0 .1 8 7 5 Divide 3 by 16. –16 0 –128 0 –112 0 –80 Lesson 1 Ex1

  6. Write a Fraction as a Decimal Answer: 0.1875 Lesson 1 Ex1

  7. A • B • C • D A. 0.0515 B. 0.0625 C. 0.0875 D. 0.16 Lesson 1 CYP1

  8. ÷ ENTER –35 11 –3.18181818 Answer: Write a Repeating Decimal You can divide as shown in Example 1 or use a calculator. Lesson 1 Ex2

  9. A • B • C • D A. 5.1111... B. 5.1515... C. 5.2222... D. 5.9999... Lesson 1 CYP2

  10. ÷ ENTER 8 15 0.5333333333 Round a Repeating Decimal AGRICULTUREA Texas farmer lost the fruit on 8 of 15 orange trees because of unexpected freezing temperatures. Find the fraction of the orange trees that did not produce fruit. Express your answer as a decimal rounded to the nearest thousandth. To find the fraction of trees that did not produce fruit, divide the number of lost trees, 8, by the total number of trees, 15. Look at the digit to the right of the thousandths place. Round down since 3 < 5. Lesson 1 Ex3

  11. Round a Repeating Decimal Answer: The fraction of fruit trees that did not produce fruit was 0.533. Lesson 1 Ex3

  12. SCHOOLIn Mrs. Townley’s eighth grade science class, 4 out of 22 students did not turn in their homework. Find the fraction of the students who did not turn in their homework. Express your answer as a decimal rounded to the nearest thousandth. • A • B • C • D A. 0.094 B. 0.148 C. 0.182 D. 0.252 Lesson 1 CYP3

  13. Answer: Write a Decimal as a Fraction Write 0.32 as a fraction. 0.32 is 32 hundredths. Simplify. Lesson 1 Ex4

  14. A. B. C. D. Write 0.16 as a fraction. • A • B • C • D Lesson 1 CYP4

  15. ALGEBRAWrite 2.7 as a mixed number. Let N = 2.7 or 2.777... . Then 10N = 27.777... . Write a Decimal as a Fraction Multiply N by 10 because 1 digit repeats. Subtract N = 2.777... to eliminate the repeating part, 0.777... . Lesson 1 Ex5

  16. 10N = 27.777...–1N = 2.777... Answer: Write a Decimal as a Fraction 9N = 25 10N – 1N = 9N Divide each side by 9. Simplify. Lesson 1 Ex5

  17. ALGEBRAWrite 1.7 as a mixed number. A. B. C. D. • A • B • C • D Lesson 1 CYP5

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