Final answer:
To round 0.14285714285 to the nearest ten-thousandth, we round up the digit in the thousandth place, resulting in 0.1429.
Step-by-step explanation:
To round 0.14285714285 to the nearest ten-thousandth, we need to look at the digit in the ten-thousandth place, which is 8. Since the digit 8 is greater than 5, we round up the digit in the thousandth place, which is 2. Therefore, the rounded number is 0.1429.