4 A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number.__34Mixed numbers1 41 23 4__411__21__432__412__1
5 Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number.0.670.67Identify the place value of the digit farthest to the right.100____67The 7 is in the hundredths place, so use 100 as the denominator.Remember!OnesTenthsHundredthsThousandthsPlace Value
6 Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number.5.95.9Identify the place value of the digit farthest to the right.10___95Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.
7 Additional Example 2A: Writing Fractions as Decimals Write each fraction or mixed number as a decimal.20____3.15Divide 3 by 20.203.00Add zeros after the decimal point.- 20100- 100The remainder is 0.20____3=0.15
8 Additional Example 2B: Writing Fractions as Decimals Write each fraction or mixed number as a decimal.3__16.333Divide 1 by 3.31.000Add zeros after the decimal point.- 910The 3 repeats in the quotient.- 910- 96.333… = 6.3_13__16=
9 Common Fractions and Equivalent Decimals 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 continuously0.80.722.214.171.124.30.250.2Common Fractions and Equivalent Decimals15__14__13__25__12__35__23__34__45__
10 Additional Example 3: Comparing and Ordering Fractions and Decimals Order the fractions and decimals from least to greatest.__3__7, 0.8,4103__4__107First rewrite the fractions as decimals = = 0.7Order the three decimals.7__103__40.70.750.8The numbers in order from least to greatest are , , and 0.8.71034