2. Definitions: Mixed Number – Is a number that contains a whole number greater than one and a fraction. Terminating Decimals – Are decimals that end or “terminate”. For example, 3.67 and 4.192 are terminating decimals. Repeating Decimals – Are decimals that have a block of one or more digits that repeat without ending. For example, 0.666… or 0.4545… are repeating decimals.

3. Example 1: 0.23 0.23 23 100 Then put 23 over 100. This is the final answer. Say twenty-three hundredths Strategy: * Say the number verbally. * Write the number as a fraction. * Reduce, if necessary. ** Don’t forget about a whole number if there is one.** Writing Decimals as Fractions or Mixed Numbers Example 2: 0.375 0.375 Put 375 over 1000 Say three hundred and seventy five thousandths Reduce ÷ 25 Reduce ÷ 5 Final answer

4. Convert the following decimals as fractions. Reduce, if necessary. 1.) 0.362.) 0.2253.) 1.52

5. Common Fractions and Equivalent Decimals Fractions Decimals

6. Example 1: Write as a decimal. Multiply by 5 so that the denominator is 100. Strategy: * Write the fraction as an equivalent fraction with a denominator of 100. * Write the equivalent fraction as a decimal. ** Don’t forget about a whole number if there is one.** Writing Fractions as Decimals Option 1: When It’s Possible to Write Equivalent Fractions x 5

7. Example2: Final answer 5.6 Divide 2 by 3. Strategy: * Divide the numerator by the denominator using long division. * If necessary, add 0s to the dividend. * If the quotient repeats, add a bar over the repeating digits. ** Don’t forget about a whole number if there is one.** Writing Fractions as Decimals Option 2: When Equivalent Fractions Can’t Be Written

8. Convert the following fractions to decimals. 1.)2.) 3.)

9. Order the fractions and decimals from least to greatest. 1.) 0.5, 0.37, 2.), 0.8,

10. A caterpillar is 1 inches long. What is the caterpillar’s length as a decimal? Real-World Application