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.

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

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 __ Mixed numbers

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

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 ___ 9 5

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

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 ____ 3 The remainder is ____ 3 =0.15

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

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 = __ … = 6.3 _ B. Write the fraction or mixed number as a decimal.

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 ____ 5 The remainder is ____ 5 =0.25

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 = __ … = 7.6 _

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 Common Fractions and Equivalent Decimals 1 3 __

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 __ __ __ The numbers in order from least to greatest are,, and

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 __ First rewrite the fractions as decimals. = 0.25 = 0.6 Order the three decimals. 1 __ The numbers in order from least to greatest are,, and

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

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?

4-4 Decimals and Fractions Lesson Quiz: Part I Write each decimal as a fraction or mixed number Write each fraction or mixed number as a decimal __ ____ __

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,, __ , 0.38, 3 4 __ 2 3

4-4 Decimals and Fractions HOMEWORK