Answer
0.4006
Work Step by Step
We are asked to round 0.400594 to the nearest ten-thousandth.
Step 1. Draw a cut-off line after the ten-thousandths place. We are cutting off the 9 and 4. They will be dropped.
Step 2. We look at the first digit after the cut-off line, which is 9.
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 6.
Therefore, 0.400594 rounded to the nearest ten-thousandth is 0.4006.
