Question
what is the simplest form of 25 1/2? answers 25 with an exponent of 1 under a square root, 5, 25 with an exponent on 2 under a square root, or 12.5
Answers
GPT-4o mini
To convert the mixed number \( 25 \frac{1}{2} \) into an improper fraction, we have:
\[
25 \frac{1}{2} = \frac{(25 \times 2) + 1}{2} = \frac{50 + 1}{2} = \frac{51}{2}
\]
Now, we can evaluate the options given:
1. **25 with an exponent of 1 under a square root:** This is \( \sqrt{25^1} = 5 \).
2. **5**: This is simply just 5.
3. **25 with an exponent of 2 under a square root:** This is \( \sqrt{25^2} = 25 \).
4. **12.5**: This is equal to \( \frac{25}{2} \).
Comparing these, the simplest form of \( 25 \frac{1}{2} \), or \( 25.5 \), as an answer doesn't exactly match any of the options clearly but can be interpreted as being equivalent to \( 12.5 \) in decimal form.
Thus, the closest and simplest interpretation in standard terms is \( 12.5 \).
\[
25 \frac{1}{2} = \frac{(25 \times 2) + 1}{2} = \frac{50 + 1}{2} = \frac{51}{2}
\]
Now, we can evaluate the options given:
1. **25 with an exponent of 1 under a square root:** This is \( \sqrt{25^1} = 5 \).
2. **5**: This is simply just 5.
3. **25 with an exponent of 2 under a square root:** This is \( \sqrt{25^2} = 25 \).
4. **12.5**: This is equal to \( \frac{25}{2} \).
Comparing these, the simplest form of \( 25 \frac{1}{2} \), or \( 25.5 \), as an answer doesn't exactly match any of the options clearly but can be interpreted as being equivalent to \( 12.5 \) in decimal form.
Thus, the closest and simplest interpretation in standard terms is \( 12.5 \).