271,403 rounded to the nearest ten thousand.
The Correct Answer and Explanation is :
The correct answer is: 270,000
To round the number 271,403 to the nearest ten thousand, we first identify the digit in the ten thousand place and the digit in the thousand place.
- Identifying Places:
- The number 271,403 has the following place values:
- 2 in the hundred thousand place,
- 7 in the ten thousand place,
- 1 in the thousand place,
- 4 in the hundred place,
- 0 in the ten place,
- 3 in the one place.
- Focusing on Relevant Digits:
- In this case, the ten thousand place is occupied by the digit 7, and the digit in the thousand place is 1.
- Rounding Rules:
- The rule for rounding is that if the digit immediately to the right of the place value you are rounding to (in this case, the thousand place) is less than 5, you round down. If it is 5 or greater, you round up.
- Applying the Rules:
- Since the digit in the thousand place is 1 (which is less than 5), we round down. This means we keep the ten thousand digit (7) the same and replace all digits to the right (thousand, hundred, ten, and one places) with zeros.
- Final Result:
- Therefore, rounding 271,403 to the nearest ten thousand gives us 270,000.
Summary
When rounding numbers, it’s essential to recognize the place values involved and apply the standard rounding rules. In this instance, the number 271,403 rounded to the nearest ten thousand is 270,000 because the thousand place digit (1) is less than 5. This process helps simplify numbers and makes them easier to work with in various mathematical and practical applications. Understanding rounding is particularly useful in fields like finance, science, and data analysis, where precision and clarity in numerical representation are crucial.