To determine the correct comparison of the rounded numbers, we need to follow a series of steps:
1. Identify the original numbers:
- The first number is 1,210.
- The second number is 1,148.
2. Round each number to the nearest hundred:
- For 1,210, consider its tens digit (which is 1) and the hundreds digit (which is 2). Since the tens digit (1) is less than 5, we round down, resulting in 1,200.
- For 1,148, consider its tens digit (which is 4) and the hundreds digit (which is 1). Since the tens digit (4) is less than 5, we also round down, resulting in 1,100.
3. Compare the rounded numbers:
- The first number, 1,210, rounds to 1,200.
- The second number, 1,148, rounds to 1,100.
- We need to compare 1,200 and 1,100.
4. Construct and evaluate the choices:
- [tex]\(1,210 > 1,150\)[/tex]: This comparison is irrelevant since it compares unrounded numbers.
- [tex]\(1,200 = 1,200\)[/tex]: This is incorrect because the rounded numbers 1,200 and 1,100 are not equal.
- [tex]\(1,200 > 1,100\)[/tex]: This is correct because 1,200 is indeed greater than 1,100.
- [tex]\(1,200 < 1,100\)[/tex]: This is incorrect because 1,200 is not less than 1,100.
Thus, the correct choice is:
[tex]\[ \boxed{1,200 > 1,100} \][/tex]
