what is 402 rounded to the nearest ten and hundred
The Correct Answer and Explanation is:
Correct Answer:
- Rounded to the nearest ten: 400
- Rounded to the nearest hundred: 400
Explanation (300 words):
Rounding numbers involves simplifying a number to make it easier to work with, especially in mental calculations or when an approximate value is acceptable. This is typically done to a specific place value, such as the nearest ten, hundred, or thousand.
To round 402 to the nearest ten, one must focus on the digit in the ones place, which is the rightmost digit. In the number 402, the ones digit is 2, and the tens digit is 0. According to standard rounding rules, if the digit in the place immediately after the target place value is less than 5, the target digit remains the same, and all digits after it become zero. Since 2 is less than 5, the tens digit stays as 0, and the ones digit becomes 0. Therefore, 402 rounded to the nearest ten becomes 400.
To round 402 to the nearest hundred, the digit in the tens place becomes the deciding factor. Here, the hundreds digit is 4, and the tens digit is 0. Again, because 0 is less than 5, the hundreds digit remains unchanged, and both the tens and ones digits are changed to zeros. This results in the rounded number being 400 as well.
This rounding method helps in quick estimations. For instance, when summing large numbers, working with rounded figures simplifies the process without significantly affecting accuracy. It is especially useful in budgeting, measurements, and data analysis, where exact values may not always be necessary. Understanding how to round numbers accurately ensures better judgment in mathematical reasoning and real-world problem-solving.
