Question

round 2,149 to the nearest hundred.

Explanation:

Step1: Identify the hundreds place

In 2,149, the digit in the hundreds place is 1 (the number is 2 (thousands), 1 (hundreds), 4 (tens), 9 (ones)).

Step2: Look at the tens digit

The tens digit is 4. When rounding to the nearest hundred, if the tens digit is less than 5, we round down (keep the hundreds digit the same and set the tens and ones to 0). If it's 5 or more, we round up (increase the hundreds digit by 1 and set tens and ones to 0). Since 4 < 5, we round down.

Step3: Round the number

So, 2,149 rounded to the nearest hundred is 2,100? Wait, no, wait. Wait, the hundreds place is 1, but wait, 2149: the hundreds digit is 1, the next digit (tens) is 4. Wait, no, wait, 2149: the number is 2 (thousand), 1 (hundred), 4 (ten), 9 (one). Wait, but when rounding to the nearest hundred, we look at the digit to the right of the hundreds place, which is the tens digit (4). Since 4 < 5, we keep the hundreds digit (1) as is and set the tens and ones to 0? Wait, no, that can't be right. Wait, 2149: the nearest hundred. Wait, 2100 is 149 less than 2149? No, wait, 2149 is between 2100 and 2200. Wait, 2149 - 2100 = 49, 2200 - 2149 = 51. Wait, so 2149 is closer to 2100? Wait, no, wait, 49 vs 51. Wait, 49 is less than 51, so it's closer to 2100? Wait, but wait, the rule is: when rounding to the nearest hundred, look at the tens digit. Wait, the tens digit is 4, which is less than 5, so we round down. So 2149 rounded to the nearest hundred is 2100? Wait, no, wait, I think I made a mistake. Wait, 2149: the hundreds digit is 1, the digit to the right (tens) is 4. So we round down, so 2100. Wait, but let's check again. 2149: between 2100 and 2200. The distance to 2100 is 49, to 2200 is 51. So 49 < 51, so it's closer to 2100. So yes, round down.
Wait, but wait, maybe I messed up the hundreds place. Wait, 2149: the number is 2 (thousand), 1 (hundred), 4 (ten), 9 (one). So the hundreds digit is 1, tens is 4. So since tens digit is 4 (less than 5), we round down, so 2100.

Answer:

2100