Pregunta
What is \( 173 \frac{79}{92} \) rounded to the nearest hundred
Ask by Fitzgerald Mccoy. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( 173 \frac{79}{92} \) rounded to the nearest hundred is **200**.
Solución
To round the number \( 173 \frac{79}{92} \) to the nearest hundred, follow these steps:
1. **Convert the Mixed Number to a Decimal:**
\[
173 \frac{79}{92} = 173 + \frac{79}{92} \approx 173 + 0.8587 = 173.8587
\]
2. **Determine the Nearest Hundred:**
- The number 173.8587 is between 100 and 200.
- To find which hundred it's closer to, calculate the difference from each:
\[
200 - 173.8587 \approx 26.1413
\]
\[
173.8587 - 100 \approx 73.8587
\]
- Since 173.8587 is **26.1413** units away from 200 and **73.8587** units away from 100, it is closer to **200**.
**Final Answer:**
\( 173 \frac{79}{92} \) rounded to the nearest hundred is **200**.
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Simplifique esta solución Beyond the Answer
To round \( 173 \frac{79}{92} \) to the nearest hundred, first convert the mixed number to an improper fraction: \[ 173 \frac{79}{92} = 173 + \frac{79}{92} \] Calculating \( \frac{79}{92} \) gives approximately \( 0.857 \). Therefore, \[ 173 + 0.857 \approx 173.857 \] Rounding \( 173.857 \) to the nearest hundred results in \( 200 \), as it is closer to \( 200 \) than to \( 100 \). Thus, the final answer is \( 200 \). But remember, rounding woes can be tricky! It's always best to understand the basic rule: if a number is halfway or more to the next 'tens' or 'hundreds,' you round up. If not, you stick with your current number. Just keep your eyes on that decimal!
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