what is 829 rounded to the nearest hundred
The correct answer and explanation is:
The number 829 rounded to the nearest hundred is 800.
Explanation:
Rounding numbers involves finding the closest value based on the place value you are rounding to. In this case, we are rounding to the nearest hundred. To determine the nearest hundred for 829, we look at the tens digit, which is 2.
Here’s how rounding works:
- If the tens digit is 5 or higher, we round up the hundreds place by one unit and change the tens and ones places to 0.
- If the tens digit is less than 5, the hundreds place remains the same, and the tens and ones places are changed to 0.
For 829, the tens digit is 2, which is less than 5. According to rounding rules, this means we keep the hundreds place the same (8), and change the tens and ones places to 0. Therefore, 829 rounded to the nearest hundred is 800.
Rounding helps simplify numbers and make them easier to work with, especially when exact values are not necessary or when estimating. It’s a common technique used in daily life, from estimating prices at the store to simplifying calculations.