1. Ratios, Rates and Percents
Lesson 7
Ratios, Rates and Percents
Repeating Decimals and Rounding

2. Warm-Up Write each fraction or mixed number as a decimal.
Write each decimal as a fraction or mixed number.
0.75
3.6

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

4. Example 1
Convert each fraction to a decimal.

6. 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.

7. Example 2 Round 2.4 to the nearest hundredth.
Underline number in hundredth place: …
Look at digit one place to the right:
Round down since 4 is less than ≈ 2.44

8. Example 3 Convert to a decimal rounded to the nearest hundredth.
Underline number in hundredth place: …
Look at digit one place to its right …
Round up as 6 is more than
≈ 0.67

9. Exit Problems Convert each fraction to a decimal. a. b.
Round 5.26 to the nearest thousandth.
Convert to a decimal. Round your answer to the nearest hundredth.

10. 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.