What is 473 rounded to the nearest hundred?
The Correct Answer and Explanation is :
The correct answer is: 500
To round the number 473 to the nearest hundred, we first need to identify the hundreds surrounding it. The closest hundreds to 473 are 400 and 500.
Steps to Round to the Nearest Hundred:
- Identify the Nearest Hundreds:
- The nearest hundred below 473 is 400.
- The nearest hundred above 473 is 500.
- Determine the Midpoint:
- The midpoint between 400 and 500 is 450. This is important because it helps us decide whether to round up or down. If the number is less than 450, we round down; if it is 450 or more, we round up.
- Compare the Number to the Midpoint:
- In this case, 473 is greater than 450. Therefore, we round up.
- Conclusion:
- Since 473 is closer to 500 than to 400, rounding 473 to the nearest hundred gives us 500.
Explanation of Rounding:
Rounding is a mathematical technique used to simplify numbers while maintaining their approximate value. When rounding to the nearest hundred, we are essentially grouping numbers into ranges. This is useful in many practical situations, such as estimating totals in budgets or determining distances, where precise values are less critical than understanding overall trends or amounts.
Rounding helps make calculations easier and more manageable. For example, when dealing with large datasets or performing quick mental math, rounding allows us to make estimates without getting bogged down in exact figures. It’s important to understand the rules of rounding to ensure accuracy. Rounding correctly can significantly affect results, particularly in financial contexts where small discrepancies can lead to substantial differences over time.
In summary, rounding 473 to the nearest hundred results in 500 because it is closer to 500 than to 400, based on the established rounding rules.