Approximate 870: Understanding Nearest Value Techniques

To solve this problem, we will round the number $870$ to the nearest hundred. Let's follow these steps:

• Step 1: Identify the tens digit of $870$. Here, the tens digit is $7$.
• Step 2: Apply the rounding rule to the hundreds place. Since the tens digit $7$ is greater than or equal to $5$, we will round up.
• Step 3: The hundreds digit will be increased by $1$, rounding $870$ up to the next hundred.

After rounding, $870$ becomes $900$.

Thus, the correct answer to the problem is $900$, corresponding to choice id .