Round off 242/343 to the nearest thousandth
We need to round off the fraction 242/343 to the nearest thousandth.
Solution
Step 1: Convert the fraction to a decimal
First, we divide 242 by 343:
242 ÷ 343 = 0.70553935860058
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 0.70553935860058 to the nearest thousandth gives us 0.706.
Explanation: The digit in the thousandth place is 5. The next digit to the right is 5. Since this is 5 or greater, we round up.
Answer
The fraction 242/343 rounded to the nearest thousandth is 0.706.
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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