To round off numbers to the nearest 100, you look at the tens digit of the number. If the tens digit is 5 or greater, you round up. If it is less than 5, you round down.
Here's how to round each of the given numbers to the nearest 100:
456 : The tens digit is 5. Since it is 5 or greater, we round up. 456 rounded to the nearest 100 is 500.
789 : The tens digit is 8. Again, since it is 5 or greater, we round up. 789 rounded to the nearest 100 is 800.
1123 : The tens digit is 2, which is less than 5, so we round down. 1123 rounded to the nearest 100 is 1100.
999 : The tens digit is 9. Therefore, we round up. 999 rounded to the nearest 100 is 1000.
1745 : The tens digit is 4, which is less than 5, so we round down. 1745 rounded to the nearest 100 is 1700.
2501 : The tens digit is 0, which is less than 5, so we round down. 2501 rounded to the nearest 100 is 2500.
3200 : The tens digit is 0, so there is no rounding up or down needed. 3200 rounded to the nearest 100 is 3200.
4567 : The tens digit is 6, which is 5 or greater, so we round up. 4567 rounded to the nearest 100 is 4600.
9800 : The tens digit is 0, so there is no rounding up or down needed. 9800 rounded to the nearest 100 is 9800.
1234 : The tens digit is 3, which is less than 5, so we round down. 1234 rounded to the nearest 100 is 1200.
Understanding rounding is important as it helps simplify numbers, making them easier to work within various mathematical contexts, such as estimating sums and differences.
To round numbers to the nearest hundred, if the tens digit is 5 or greater, round up; if it is less than 5, round down. For the provided numbers, the rounded results are: 500, 800, 1100, 1000, 1700, 2500, 3200, 4600, 9800, and 1200. This rounding technique helps simplify numerical operations and estimates.
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