Question

1. How do you show the group of digits that repeat in a repeating decimal?(1 point)%0D%0AResponses%0D%0A%0D%0Aby underlining them%0D%0Aby underlining them%0D%0A%0D%0Aby putting them in parentheses%0D%0Aby putting them in parentheses%0D%0A%0D%0Aby putting a bar over them%0D%0Aby putting a bar over them%0D%0A%0D%0Aby printing them in italics

2. How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point)%0D%0AResponses%0D%0A%0D%0Aany finite length%0D%0Aany finite length%0D%0A%0D%0Aup to six digits long%0D%0Aup to six digits long%0D%0A%0D%0Aup to seven digits long%0D%0Aup to seven digits long%0D%0A%0D%0Ainfinitely long

3. Convert 0.27¯¯¯¯¯%0D%0A0.%0D%0A27%0D%0A¯%0D%0A to a rational number in simplest form.(1 point)%0D%0AResponses%0D%0A%0D%0A311%0D%0AStart Fraction 3 over 11 end fraction%0D%0A%0D%0A2799%0D%0AStart Fraction 27 over 99 end fraction%0D%0A%0D%0A127%0D%0AStart Fraction 1 over 27 end fraction%0D%0A%0D%0A27100

4. To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)%0D%0AResponses%0D%0A%0D%0A10%0D%0A10%0D%0A%0D%0A999%0D%0A999%0D%0A%0D%0A100%0D%0A100%0D%0A%0D%0A1,000

5. If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)%0D%0AResponses%0D%0A%0D%0A99%0D%0A99%0D%0A%0D%0A100%0D%0A100%0D%0A%0D%0A999%0D%0A999%0D%0A%0D%0A1,000

Answer 1

Here are the answers to your questions about repeating decimals:

1. **How do you show the group of digits that repeat in a repeating decimal?**
- **Correct Answer:** by putting a bar over them

2. **How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?**
- **Correct Answer:** up to six digits long

3. **Convert 0.27¯¯¯¯¯ to a rational number in simplest form.**
- **Correct Answer:** Start Fraction 3 over 11 end fraction

4. **To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?**
- **Correct Answer:** 1,000

5. **If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator?**
- **Correct Answer:** 999

Feel free to ask if you have more questions or need further clarification!