To answer this question, we need to round each number to the nearest hundred and then compare the results.
1. Round 1,143 to the nearest hundred:
- The hundreds digit in 1,143 is '1'.
- The tens digit, which determines whether we round up or down, is '4'.
- Since '4' is less than '5', we round down. Therefore, 1,143 rounded to the nearest hundred is 1,100.
2. Round 1,149 to the nearest hundred:
- The hundreds digit in 1,149 is also '1'.
- The tens digit in this case is '4'.
- Since '4' is less than '5', we round down again. Thus, 1,149 rounded to the nearest hundred is also 1,100.
3. Compare the rounded numbers:
- Both rounded numbers are 1,100.
- Therefore, they are equal (1,100 = 1,100).
So, the choice that correctly compares the rounded numbers 1,143 and 1,149 is:
[tex]\[ 1,100 = 1,100 \][/tex]
Thus, the correct answer is:
[tex]\[ 1,100 = 1,100 \][/tex]