5. Brian said that 4,449 rounded to the nearest hundred was 4,500 because 4,449 rounded to the nearest ten is 4,450 and 4,450 rounds to 4,500 . Is Brian correct? Explain.

1. To round \(4449\) to the nearest hundred, we look at the tens digit. 2. The formula for rounding to the nearest hundred is to see if the last two digits (the tens and ones digits) are less than \(50\) or \(50\) and above. 3. In \(4449\), the last two digits form \(49\), which is less than \(50\). 4. Since \(49 < 50\), we round down. Thus, \(4449\) rounded to the nearest hundred is \(4400\). 5. Brian’s reasoning involved first rounding to the nearest ten, which gives \(4449 \rightarrow 4450\), and then rounding \(4450\) to the nearest hundred, resulting in \(4500\). However, rounding in steps does not always yield the same result as rounding directly to the desired place value. 6. Therefore, Brian is incorrect because the correct rounded value to the nearest hundred is \(4400\), not \(4500\). 7. In summary, directly rounding \(4449\) to the nearest hundred gives \(4400\), which means Brian’s answer is not correct.