1. Lesson 1 Menu 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

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

3. Lesson 1 TEKS 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.

4. Key Concept

5. Lesson 1 Ex1 Write a Fraction as a Decimal Write as a decimal. 0 –16 0.1 –128 8 0 –112 75 14 12 80 –80 0 Divide 3 by 16.

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

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

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

9. Lesson 1 CYP2 1.A 2.B 3.C 4.D A.5.1111... B.5.1515... C.5.2222... D.5.9999...

10. Lesson 1 Ex3 AGRICULTURE A 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. Round a Repeating Decimal 8 15 0.5333333333 ENTER÷ Look at the digit to the right of the thousandths place. Round down since 3 < 5.

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

12. 1.A 2.B 3.C 4.D Lesson 1 CYP3 A.0.094 B.0.148 C.0.182 D.0.252 SCHOOL In 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.

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

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

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

16. Lesson 1 Ex5 Divide each side by 9. Write a Decimal as a Fraction Answer: 9N = 2510N – 1N = 9N 10N = 27.777... –1N = 2.777... Simplify.

17. A.A B.B C.C D.D Lesson 1 CYP5 ALGEBRA Write 1.7 as a mixed number. A. B. C. D.