Answer
96.8158
Work Step by Step
We are asked to round 96.81584 to the nearest ten-thousandth.
Step 1. Draw a cut-off line after the ten-thousandths place. We are cutting off the 4. It will be dropped.
Step 2. We look at the first number after the cut-off line, which is 4.
Step 3. Since this number is less than 5, the number in the ten-thousandths place stays the same.
Therefore, 96.81584 rounded to the nearest ten-thousandth is 96.8158.