1. 4-4 Decimals and Fractions I CAN convert a decimal into a fraction. I CAN convert a fraction into a decimal. I CAN order decimals and fractions.

2. 4-4 Decimals and Fractions Vocabulary mixed number terminating decimal repeating decimal

3. 4-4 Decimals and Fractions A number that contains both a whole number greater than 0 and a fraction, such as 1, is called a mixed number. 3 4 __ 4 1 1 1 2 1 1 4 3 2 4 1 2 2 1 Mixed numbers 1212 1414 3434 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

4. 4-4 Decimals and Fractions Example 1: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. A. 0.67 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator. 0.67 100 ____ 67

5. 4-4 Decimals and Fractions Example 1: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. B. 5.9 Identify the place value of the digit farthest to the right. Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator. 5.9 10 ___ 9 5

6. 4-4 Decimals and Fractions You Try! Example 1 Write each decimal as a fraction or mixed number. A. 0.73 100 ____ 73 B. 4.8 4 10 ___ 8

7. 4-4 Decimals and Fractions Example 2: Writing Fractions as Decimals A. Write the fraction or mixed number as a decimal. Divide 3 by 20. Add zeros after the decimal point. 0 20 ____ 3 The remainder is 0..00 - 20.1 320 100 - 100 5 0 20 ____ 3 =0.15

8. 4-4 Decimals and Fractions To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6 Writing Math

9. 4-4 Decimals and Fractions Example 2: Writing Fractions as Decimals Divide 1 by 3. Add zeros after the decimal point. 0 3 __ 1 The 3 repeats in the quotient..000 - 9.3 1 3 10 - 9 3 10 = 6 - 9 3 1 3 __ 1 6 6.333… = 6.3 _ B. Write the fraction or mixed number as a decimal.

10. 4-4 Decimals and Fractions You Try! Example 2 A. Write the fraction or mixed number as a decimal. Divide 5 by 20. Add zeros after the decimal point. 0 20 ____ 5 The remainder is 0..00 - 40.2 5 20 100 - 100 5 0 20 ____ 5 =0.25

11. 4-4 Decimals and Fractions You Try! Example 2 B. Write the fraction or mixed number as a decimal. Divide 2 by 3. Add zeros after the decimal point. 0 3 __ 2 The 6 repeats in the quotient..000 - 18.6 2 3 20 - 18 6 20 = 7 - 18 6 2 3 __ 2 7 7.666… = 7.6 _

12. 4-4 Decimals and Fractions A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously. 0.80.750.6 0.50.40.30.250.2 Common Fractions and Equivalent Decimals 1 3 __ 1 5 1 4 2 5 1 2 3 5 2 3 3 4 4 5

13. 4-4 Decimals and Fractions Example 3: Comparing and Ordering Fractions and Decimals A. Order the fractions and decimals from least to greatest., 0.8, 7 __ 10 3 __ 4 First rewrite the fractions as decimals. = 0.75 = 0.7 Order the three decimals. 3 __ 4 0 7 10 __ 10 7 3 __ 4 0.75 0.8 0.7 The numbers in order from least to greatest are,, and 0.8. 7 10 3 4

14. 4-4 Decimals and Fractions Example 3: Comparing and Ordering Fractions and Decimals B. Order the fractions and decimals from least to greatest., 0.7, 3 __ 5 1 4 First rewrite the fractions as decimals. = 0.25 = 0.6 Order the three decimals. 1 __ 4 5 3 The numbers in order from least to greatest are,, and 0.7. 1 4 3 5

15. 4-4 Decimals and Fractions You Try! Example 3 Order the fractions and decimals from least to greatest., 0.35, 1 __ 4 1 2 1 2 The numbers in order from least to greatest are, 0.35, and. 1 __ 4 A. B., 0.7, 2 __ 3 5 2 2 5 The numbers in order from least to greatest are,, and 0.7. 2 __ 3

16. 4-4 Decimals and Fractions CAN YOU convert a decimal into a fraction? CAN YOU convert a fraction into a decimal? CAN YOU order decimals and fractions?

17. 4-4 Decimals and Fractions Lesson Quiz: Part I Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75 Write each fraction or mixed number as a decimal. 3. 2 4. 2.6 0.875 3 5 __ 8 7 24 100 ____ 6 75 100 __

18. 4-4 Decimals and Fractions Lesson Quiz: Part II 5. Order the fractions and decimals from least to greatest. 0.38,, 6. Jamal ran the following distances on three different days: 0.87 mile, mile, and 0.13 mile. Order the distances from least to greatest. 0.13,, 0.87 3 4 __ 1 5 2 3 1 5, 0.38, 3 4 __ 2 3

19. 4-4 Decimals and Fractions HOMEWORK