Question
What is \( 535 \frac{50}{51} \) rounded to the nearest ten
Ask by Fowler Bowman. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 535 \frac{50}{51} \) rounded to the nearest ten is **540**.
Solution
To round \( 535 \frac{50}{51} \) to the nearest ten, follow these steps:
1. **Convert the Mixed Number to a Decimal:**
\[
535 \frac{50}{51} = 535 + \frac{50}{51} \approx 535 + 0.9804 = 535.9804
\]
2. **Identify the Nearest Tens:**
- The nearest multiples of ten around 535.9804 are **530** and **540**.
3. **Determine Which Multiple is Closer:**
- Distance from 535.9804 to 530: \( 535.9804 - 530 = 5.9804 \)
- Distance from 535.9804 to 540: \( 540 - 535.9804 = 4.0196 \)
Since 535.9804 is closer to **540** than to 530, it rounds up.
**Final Answer:**
\( 535 \frac{50}{51} \) rounded to the nearest ten is **540**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To round \( 535 \frac{50}{51} \) to the nearest ten, first, we convert the mixed number to an improper fraction or decimal. The decimal equivalent of \( \frac{50}{51} \) is approximately \( 0.9804 \), so \( 535 \frac{50}{51} \) is roughly \( 535.9804 \). Next, rounding \( 535.9804 \) to the nearest ten, we look at the digit in the units place (which is 5). The rule of rounding tells us that if it's 5 or more, we round up. Therefore, \( 535.9804 \) rounded to the nearest ten is \( 540 \).
