Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers?

A. [tex]1,140 \ \textless \ 1,150[/tex]
B. [tex]1,140 \ \textgreater \ 1,150[/tex]
C. [tex]1,000 = 1,000[/tex]
D. [tex]1,100 = 1,100[/tex]



Answer :

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]