Sure, let’s go through the process of rounding 8,404 to the nearest thousand step-by-step.
1. Identify the place value to which you are rounding:
In this case, we are rounding to the nearest thousand.
2. Look at the digit in the place to the right of the thousands place:
The number is 8,404. The thousands place is the 8, and the digit to the right of it, in the hundreds place, is 4.
3. Apply the rounding rule:
- If the digit in the hundreds place (the place to the right of the thousands place) is 5 or greater, round the thousands digit up by 1.
- If the digit in the hundreds place is less than 5, keep the thousands digit the same and change all the digits to the right to zero.
Here, the digit in the hundreds place is 4, which is less than 5.
4. Adjust the digit in the thousands place:
Since 4 is less than 5, we will keep the thousands digit (8) the same and change all the digits to the right to zero.
5. Write the rounded number:
So, 8,404 rounded to the nearest thousand is 8,000.
Therefore, when you round 8,404 to the nearest thousand, you get 8,000.