Round off 102/943 to the nearest thousandth
We need to round off the fraction 102/943 to the nearest thousandth.
Solution
Step 1: Convert the fraction to a decimal
First, we divide 102 by 943:
102 ÷ 943 = 0.10816542948038
Step 2: Identify the place value for rounding
We need to round to the nearest thousandth. This means we'll round to the third decimal place.
Step 3: Round the decimal
Rounding 0.10816542948038 to the nearest thousandth gives us 0.108.
Explanation: The digit in the thousandth place is 8. The next digit to the right is 1. Since this is less than 5, we keep the thousandth digit as is.
Answer
The fraction 102/943 rounded to the nearest thousandth is 0.108.
Additional Information
Rounding is a process of approximating a number to a certain place value. It's useful in many real-world situations where exact precision isn't necessary or practical.
When rounding to a specific place value:
- If the digit to the right is 5 or more, round up.
- If the digit to the right is 4 or less, round down.
Rounding can be applied to whole numbers, decimals, and fractions converted to decimals.
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