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4. Example 4-5b Objective Write fractions as terminating or repeating decimals and write decimals as fractions

5. Example 4-5b Vocabulary Terminating decimals A decimal whose digits end

6. Example 4-5b Vocabulary Repeating decimals A decimal whose digits repeat forever

7. Example 4-5b Vocabulary Bar notation An indication that a number repeats forever

8. Lesson 4 Contents Example 1Write Fractions as Decimals Example 2Write Fractions as Decimals Example 3Write Fractions as Repeating Decimals Example 4Write Fractions as Repeating Decimals Example 5Write Decimals as Fractions

9. Example 4-1a Write as a decimal. Use a calculator 0.125 Answer: 1/5 Write the fraction Enter numerator of 1 1 Enter division sign  Enter denominator of 8 8 Enter equal sign = ENTER

10. Example 4-1b Write as a decimal. Answer: 0.4 1/5

11. Example 4-2a Write as a decimal. 735 ENTER Answer: 7.6 2/5 Write the mixed number Use a calculator Enter the whole number of 7 Enter the addition sign + Enter the numerator of 3 Enter the division sign  Enter the denominator of 5 Enter the equal sign =

12. Example 4-2b Write as a decimal. Answer: 3.625 2/5

13. Example 4-3a Write as a decimal. 111 ENTER Answer: 3/5 Write the fraction Use a calculator Enter the numerator of 1 Enter the division sign  Enter the denominator of 11 Enter the equal sign = 0.090909 Since 09 is being repeated in the decimal place a bar notation over the first 09 0.09

14. Example 4-3b Write as a decimal. Answer: 3/5

15. Example 4-4a Write as a decimal. Use a calculator Answer: 649 ENTER 4/5 Write the fraction Enter the whole number of 6 6.4444… Enter the addition sign + Enter the numerator of 4 Enter the division sign  Enter the denominator of 9 Enter the equal sign = Since 4 is being repeated in the decimal place a bar notation over the first 4

16. Example 4-4b Answer: Write as a decimal. 4/5

17. Example 4-5a Write 0.72 as a fraction in simplest form. Write problem The two is in the hundredths position so the denominator will be 100 The numerator will be the number to the right of the decimal 72 Find the GCF of numerator and denominator 5/5

18. Example 4-5a Answer:  4 GCF = 4  4 5/5 Divide numerator by GCF of 4 Divide denominator by GCF of 4

19. Example 4-5b Write 0.85 as a fraction in simplest form. Answer: * 5/5

20. End of Lesson 4 Assignment Lesson 5:4Fractions and Decimals14 - 35 All