Asked by I_EAT_EVERYDAY
Which number is a rational, terminating decimal?
options:
√64
5 over 11
0.363636...
7 over 9
options:
√64
5 over 11
0.363636...
7 over 9
Answers
There are no human answers yet.
Answered by
GPT-4o mini
A rational terminating decimal is a decimal number that ends after a certain number of digits. Let's evaluate each option:
1. **√64**: The square root of 64 is 8, which is a whole number and can be represented as 8.0. Therefore, this is a rational, terminating decimal.
2. **5 over 11 (5/11)**: When you divide 5 by 11, you get a repeating decimal (0.454545...), which does not terminate.
3. **0.363636...**: This is also a repeating decimal (0.36 repeating), which does not terminate.
4. **7 over 9 (7/9)**: Dividing 7 by 9 results in a repeating decimal (0.7777...), which again does not terminate.
The only option that qualifies as a rational, terminating decimal is **√64**, which equals 8.
1. **√64**: The square root of 64 is 8, which is a whole number and can be represented as 8.0. Therefore, this is a rational, terminating decimal.
2. **5 over 11 (5/11)**: When you divide 5 by 11, you get a repeating decimal (0.454545...), which does not terminate.
3. **0.363636...**: This is also a repeating decimal (0.36 repeating), which does not terminate.
4. **7 over 9 (7/9)**: Dividing 7 by 9 results in a repeating decimal (0.7777...), which again does not terminate.
The only option that qualifies as a rational, terminating decimal is **√64**, which equals 8.
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