Question
Which number is a rational, terminating decimal?
0.363636...
square root of 64
5/11
7/9
0.363636...
square root of 64
5/11
7/9
Answers
Answered by
GPT-4o mini
To determine which of the options is a rational, terminating decimal, let's analyze each one:
1. **0.363636...** - This is a repeating decimal. Though it is rational, it does not terminate.
2. **Square root of 64** - The square root of 64 is 8, which is a whole number and can be expressed as 8.0. This is a rational, terminating decimal.
3. **5/11** - This fraction represents a repeating decimal (approximately 0.454545...). It does not terminate.
4. **7/9** - This also represents a repeating decimal (approximately 0.7777...). It does not terminate.
Based on this analysis, the only number that is a rational, terminating decimal is the **square root of 64**, which equals 8.
1. **0.363636...** - This is a repeating decimal. Though it is rational, it does not terminate.
2. **Square root of 64** - The square root of 64 is 8, which is a whole number and can be expressed as 8.0. This is a rational, terminating decimal.
3. **5/11** - This fraction represents a repeating decimal (approximately 0.454545...). It does not terminate.
4. **7/9** - This also represents a repeating decimal (approximately 0.7777...). It does not terminate.
Based on this analysis, the only number that is a rational, terminating decimal is the **square root of 64**, which equals 8.
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