Lesson 7 Ratios Rates and Percents Repeating Decimals

Lesson 7 Ratios, Rates and Percents Repeating Decimals and Rounding

Warm-Up Write each fraction or mixed number as a decimal. 1. 2. Write each decimal as a fraction or mixed number. 3. 0. 75 4. 3. 6

Repeating Decimals and Rounding Target: Convert fractions to repeating decimals. Round numbers to a given place value.

Example 1 Convert each fraction to a decimal.

Rounding Look at the digit one place to the right of the place value you need to round. If the digit is: � 0, 1, 2, 3 or 4: The digit in the place value to which you are rounding stays the same. � 5, 6, 7, 8 or 9: Add one to the digit in the place value to which you are rounding.

Example 2 Round 2. 4 to the nearest hundredth. � Underline � Look number in hundredth place: at digit one place to the right: � Round down since 4 is less than 5. 2. 444… 2. 444 2. 4 ≈ 2. 44

Example 3 Convert to a decimal rounded to the nearest hundredth. � Convert � Underline � Look number in hundredth place: at digit one place to its right. � Round � to a decimal. up as 6 is more than 5. ≈ 0. 67 = 0. 6666… 0. 67

Exit Problems 1. Convert each fraction to a decimal. a. b. 2. Round 5. 26 to the nearest thousandth. 3. Convert to a decimal. Round your answer to the nearest hundredth.

Communication Prompt What does the bar on the number 5. 45 mean? Write as many fractions as you can that are written as repeating decimals when written as decimals.