Question

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

A) 1,000 = 1,000
B) 1,140 > 1,150
C) 1,140 < 1,150
D) 1,100 = 1,100

Answer 1

Tony rounded 1,143 down to 1,100 and 1,149 up to 1,200, because the tens digits dictate whether to round up or down. Therefore, the correct comparison of the rounded numbers is 1,100 < 1,200. However, none of the provided choices accurately reflects this comparison.

Step-by-step explanation:

Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. To do this, we look at the tens digit. For 1,143, the tens digit is 4, which is less than 5, so we round down to 1,100. For 1,149, the tens digit is 4, but since the following digit (9) is greater than or equal to 5, we round up to 1,200. Therefore, the correct comparison of the rounded numbers is 1,100 < 1,200.

However, the available choices seem to imply that the question contains a typo or error, as none of the options correctly represents this outcome. The closest choice would be D) 1,100 = 1,100, but this is not correct since 1,149 rounded to the nearest hundred is 1,200, not 1,100.