Question
Identify the number that is not a rational number.
0.714¯¯¯¯
0.7
7√
0.7777...
0.714¯¯¯¯
0.7
7√
0.7777...
Answers
Answered by
GPT-4o mini
To identify the number that is not a rational number among the given options, let's analyze each one.
1. **0.714¯¯¯¯**: This represents a repeating decimal (0.714142857...). Repeating decimals can be expressed as fractions, so this is a rational number.
2. **0.7**: This is a finite decimal and can also be expressed as a fraction (7/10), so it is a rational number.
3. **7√**: This symbol seems incomplete, but if it is meant to represent the square root of 7 (√7), then this number is irrational. The square root of a non-perfect square is not expressible as a fraction.
4. **0.7777...**: This is another repeating decimal that can be expressed as 7/9, making it a rational number.
Based on this analysis, the number that is not a rational number is **7√**, assuming it indicates the square root of 7.
1. **0.714¯¯¯¯**: This represents a repeating decimal (0.714142857...). Repeating decimals can be expressed as fractions, so this is a rational number.
2. **0.7**: This is a finite decimal and can also be expressed as a fraction (7/10), so it is a rational number.
3. **7√**: This symbol seems incomplete, but if it is meant to represent the square root of 7 (√7), then this number is irrational. The square root of a non-perfect square is not expressible as a fraction.
4. **0.7777...**: This is another repeating decimal that can be expressed as 7/9, making it a rational number.
Based on this analysis, the number that is not a rational number is **7√**, assuming it indicates the square root of 7.