4-4 Decimals and Fractions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-4 Decimals and Fractions Warm Up Find the GCF of each set of numbers , , , , 16,

4-4 Decimals and Fractions Problem of the Day Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6  2

4-4 Decimals and Fractions I can convert between 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 Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number 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 Remember! OnesTenths Hundredths Thousandths Place Value

4-4 Decimals and Fractions Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 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 Check It Out: Example 1A Write each decimal as a fraction or mixed number Identify the place value of the digit farthest to the right. The 3 is in the hundredths place, so use 100 as the denominator ____ 73

4-4 Decimals and Fractions Check It Out: Example 1B Write each decimal as a fraction or mixed number. 4.8 Identify the place value of the digit farthest to the right. Write the whole number, 4. The 8 is in the tenths place, so use 10 as the denominator ___ 8 4

4-4 Decimals and Fractions Additional Example 2A: Writing Fractions as Decimals Write each 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 Additional Example 2B: 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 _ Write each fraction or mixed number as a decimal.

4-4 Decimals and Fractions Check It Out: Example 2A Write each 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 Check It Out: Example 2B Write each 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 Additional Example 3: Comparing and Ordering Fractions and Decimals 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 Check It Out: Example 3 Order the fractions and decimals from least to greatest., 0.35, 1 __ First rewrite the fractions as decimals. = 0.5 = 0.25 Order the three decimals. 1 __ The numbers in order from least to greatest are, 0.35, and. 1 __ __ 4