WARM UPS: November 28 – December 2
Name: _______________________________________ Hour: ____
REPEATING DECIMALS
|NOTES: |To Convert Repeating Decimals to Fractions: |
| |Let x equal the repeating decimal number. This step creates an equation. |
| |Identify the repeating digit(s) in the decimal number. |
| |Multiply this equation by a power of 10 to move the repeating digits to the left of the decimal point. This step creates a second equation. |
| |Look that the original decimal number (from step 1). If the repeating digits aren’t already immediately to right of the decimal point, multiply the |
| |second equation by another power of 10 to achieve this. This step creates a third equation. |
| |Stack the equations (align the decimal points), and then subtract the left and right sides of the equations. The resulting difference is a new equation. |
| |Subtraction eliminates the repeating digits. |
| |Solve the new equation for x. The result will be a fraction (or ratio of integers). |
| |Simplify the fraction. |
| |Convert the following decimals into fractions. |
|EXAMPLES:|1. |[pic] |2. |[pic] |
| |3. |[pic] |4. |[pic] |
| |5. |[pic] |6. |[pic] |
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