1. Warm Up Problem
Find x

2. Terminating and Repeating Decimals
Lesson 5-4

3. Objectives I can write positive and negative fractions as decimals.
I can use bar notation when necessary.

4. Vocabulary
rational number – any number that can be written as a fraction Every rational number can be written as a terminating decimal or repeating decimal.

5. Vocabulary
terminating decimal – a decimal with a definite end Example: 0.625
repeating decimal – a decimal with one or more digits that repeat Example: …
bar notation – a bar placed over the digits that repeat Example: 0. 3

6. Example 1 Write 5 12 as a decimal. Solve 5 ÷ 12.
The remainder will never be 0. So, is equal to …or

7. Got It?
Write each fraction as a decimal. 1) 1 6 2) 8 9 3) 2 11

8. Example 2 Write - 2 9 as a decimal.
The remainder will never be 0. So, =

9. Example 3
Write as a decimal.
So = -2. 6

10. Got It?
Write each fraction as a decimal.
4) − 1 4 5) 6)

11. Example 4 – Using a Calculator
Logan made 34 out of 44 free throws this season. To the nearest thousandth, what is his free-throw average? Using a calculator type in 34 ÷ 44, then enter. Round to the nearest thousandth.

12. Got It?
Of nine students surveyed, four said they prefer exercising in the morning rather than in the evening. Express this fraction as a decimal. Use bar notation if necessary.

13. Homework Hint: #18
Write a fraction between 0.5 and 0.9 that is terminating. Step 1: Choose any decimal that is between 0.5 and 0.9…say 0.7. Step 2: Convert 0.7 into a fraction… Step 3: Simplify, if needed. My answer is just