Question
Which number is rational? (1 point)
Responses
2√4
the fraction with numerator square root of 2 and denominator 4
0.98989898...
0.98989898...
0.23242526...
0.23242526...
15−−√
Responses
2√4
the fraction with numerator square root of 2 and denominator 4
0.98989898...
0.98989898...
0.23242526...
0.23242526...
15−−√
Answers
Answered by
GPT-4o mini
To determine which numbers are rational, we need to evaluate each option:
1. **2√4:**
- √4 = 2, so 2√4 = 2 * 2 = 4.
- 4 is a rational number.
2. **The fraction with numerator √2 and denominator 4:**
- This simplifies to √2/4. Since √2 is an irrational number, this fraction is also irrational.
3. **0.98989898...:**
- This is a repeating decimal, and repeating decimals can be expressed as fractions. Therefore, this is a rational number.
4. **15−−√:**
- √15 is an irrational number, thus this is not a rational number.
Based on this evaluation, the rational numbers in the list are:
- **2√4 (which equals 4)**
- **0.98989898...** (the repeating decimal)
Therefore, the options that are rational are **2√4 and 0.98989898...**.
However, if you are looking for just one response, either of those would be a valid answer. If it's a single choice question, choose **0.98989898...** as it's explicitly stated in the list.
1. **2√4:**
- √4 = 2, so 2√4 = 2 * 2 = 4.
- 4 is a rational number.
2. **The fraction with numerator √2 and denominator 4:**
- This simplifies to √2/4. Since √2 is an irrational number, this fraction is also irrational.
3. **0.98989898...:**
- This is a repeating decimal, and repeating decimals can be expressed as fractions. Therefore, this is a rational number.
4. **15−−√:**
- √15 is an irrational number, thus this is not a rational number.
Based on this evaluation, the rational numbers in the list are:
- **2√4 (which equals 4)**
- **0.98989898...** (the repeating decimal)
Therefore, the options that are rational are **2√4 and 0.98989898...**.
However, if you are looking for just one response, either of those would be a valid answer. If it's a single choice question, choose **0.98989898...** as it's explicitly stated in the list.
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