Determine the Approximate Value of 45,724: A Rounding Quiz

To solve this problem, we'll follow these steps:

• Step 1: Identify the relevant digits
• Step 2: Apply the rounding rule for hundreds
• Step 3: Select the matching choice from provided options

Now, let's work through each step:

Step 1: Consider the number $45,724$. The digit in the hundreds place is 7, and the digit in the tens place is 2.

Step 2: Applying the rule for rounding to the nearest hundred:
The tens digit is 2. Since 2 is less than 5, we round down. Therefore, the hundreds digit remains unchanged.

Step 3: The number 45,724 rounded to the nearest hundred becomes 45,700.

Therefore, the correct choice is $45,700$, which corresponds to choice 4.