Question
Which number is a rational, terminating decimal?(1 point) Responses 0.363636... 0.363636... 7/9 7 ninths 511 5 over 11 64−−√ square root of 64
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GPT-4o mini
A rational, terminating decimal is a decimal that ends after a finite number of digits. Let's analyze the options provided:
1. **0.363636...**: This is a repeating decimal, which means it does not terminate. So, it is not a terminating decimal.
2. **7/9 (7 ninths)**: This fraction does not convert to a terminating decimal; it is equal to approximately 0.777..., which is also a repeating decimal.
3. **511 (5 over 11)**: This fraction, **5/11**, does not yield a terminating decimal. It is approximately equal to 0.454545..., which is repeating.
4. **√64**: The square root of 64 is 8, which is a whole number and can be expressed as a decimal (8.0). Whole numbers are considered rational and can terminate.
Among the options, **√64** (which equals 8) is the only one that is a rational, terminating decimal.
1. **0.363636...**: This is a repeating decimal, which means it does not terminate. So, it is not a terminating decimal.
2. **7/9 (7 ninths)**: This fraction does not convert to a terminating decimal; it is equal to approximately 0.777..., which is also a repeating decimal.
3. **511 (5 over 11)**: This fraction, **5/11**, does not yield a terminating decimal. It is approximately equal to 0.454545..., which is repeating.
4. **√64**: The square root of 64 is 8, which is a whole number and can be expressed as a decimal (8.0). Whole numbers are considered rational and can terminate.
Among the options, **√64** (which equals 8) is the only one that is a rational, terminating decimal.