To round 198,905 to the nearest thousands place, we first identify the digit in the thousands place and analyze the digit immediately to its right.
1. Identify the relevant digits:
- The thousands place digit in 198,905 is 8 (thousands position).
- The digit immediately to the right of the thousands place is 9 (hundreds position).
2. Apply the rounding rule:
- According to the rounding rules, if the digit immediately to the right of the thousands place is 5 or greater, we round up the thousands place digit by 1. If it is less than 5, we keep the thousands place digit the same.
3. Analyze and round:
- The digit in the hundreds place is 9, which is greater than 5. Therefore, we round the thousands digit (8) up by 1.
4. Set the below-thousands digits to zero:
- As we are rounding up, the thousands digit 8 becomes 9, and all digits to the right are replaced by zeros.
Thus, rounding 198,905 to the nearest thousands place gives us 199,000.
To visualize using a vertical number line:
- The relevant point is between 198,000 and 199,000.
- Since the original number 198,905 leans closer to 199,000, we round up to 199,000. This completes the rounding process.
