Find the Approximate Value: Rounding 7,128 to the Nearest Power of 10

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

• Step 1: Identify the given number and its relevant digits.
• Step 2: Apply the appropriate rounding rules.
• Step 3: Compare the rounded result with the given choices.

Now, let's work through each step:

Step 1: The given number is $7,128$. The relevant digits are the tens digit (2) and the units digit (8).

Step 2: According to the rules for rounding to the nearest ten, if the units digit is 5 or more, we round up the tens digit. Here, the units digit is 8, which is greater than 5, so we add 1 to the tens digit.

Step 3: Rounding up, the tens digit becomes $3$, and the number $7,128$ is rounded to $7,130$.

Therefore, the solution to the problem is $7,130$.