What is 9.688 rounded to the nearest hundredth?

9.69

To round 9.688 to the nearest hundredth, you look at the thousandth place. If the thousandth place is 5 or greater, you round up. If it is less than 5, you round down. In this case, the thousandth place is 8:

9.688

Since the thousandth place is greater than 5, we round up.

Therefore, rounding 9.688 to the nearest hundredth gives us:

9.69

To round a number to the nearest hundredth, follow these steps:

Step 1: Look at the digit in the thousandth place (the third decimal place). In this case, it's 8.
Step 2: If the digit in the thousandth place is 5 or greater, increase the digit in the hundredth place (the second decimal place) by 1. If the digit in the thousandth place is less than 5, leave the digit in the hundredth place as it is.
Step 3: Set all the digits after the hundredth place to zero.

Now let's apply these steps to round 9.688 to the nearest hundredth:

Step 1: The digit in the thousandth place is 8.
Step 2: Since 8 is greater than 5, we increase the digit in the hundredth place by 1. The digit in the hundredth place is 8.
Step 3: Set all the digits after the hundredth place to zero.

The rounded value of 9.688 to the nearest hundredth is 9.69.