To round 0.083333 to the nearest thousandth, we look at the digit in the thousandths place and the digit to its right. Since the digit to the right is a 3, which is less than 5, the rounded value remains 0.083 without trailing zeros.
When determining the rounded-off value of a decimal such as 0.083333 to the nearest thousandth, we look at the digit in the thousandths place and the digit immediately to its right. Since the thousandths place is occupied by a 3, and the next digit to the right is also a 3, which is less than 5, we do not round up the 3.
Therefore, the rounded value to the nearest thousandth is simply 0.083. It is unnecessary to include trailing zeros after the decimal point, so they are omitted in the final answer.
As a general rule for rounding numbers, when a digit is followed by a number that is less than 5, you round down by leaving the digit unchanged. Conversely, if the digit is followed by a number 5 or greater, you round up by increasing the digit by one. This applies whether the number being rounded is whole or decimal. An exception to this rule is when specifically rounding to maintain even values for statistical reliability, but that's not applicable in this simple rounding scenario.