Answer
82.0002
Work Step by Step
We are asked to round 82.000151 to the nearest ten-thousandth.
Step 1. Draw a cut-off line after the ten-thousandths place. We are cutting off the 5 and 1. They will be dropped.
Step 2. We look at the first digit after the cut-off line, which is 5.
Step 3. Since this number is greater than or equal to 5, we round up the digit in the ten-thousandths place by 1 to 2.
Therefore, 82.000151 rounded to the nearest ten-thousandth is 82.0002.