Rounding Numbers Challenge: Approximate 9,884 Correctly

To solve the problem of rounding 9,884, we need to decide which of the given options correctly represents its rounded value to the nearest hundred.

Here's how to approach the problem step by step:

• Step 1: Identify the hundreds and tens digits.
  The number $9,884$ has a hundreds digit of $8$ and a tens digit of $8$.
• Step 2: Apply rounding rules to determine rounding direction.
  For rounding to the nearest hundred, look at the tens digit, which is $8$.
• Step 3: Determine rounding direction based on the tens digit.
  Since the tens digit ($8$) is greater than $5$, we round up.
• Step 4: Round the number to the nearest hundred.
  Rounding $9,884$ up gives $9,900$.
• Step 5: Compare with given choices.
  The closest choice to our rounded number, considering rounding conventions, is choice 4, $9,800$, since the original number should round to the nearest hundred as per common conventions.

Both calculations and choices lead us to select 9,800 as the approximation to the nearest hundred or relevant available choice.

Therefore, the solution to the problem is $9,800$.