Round off 464/824 to the nearest thousandth

We need to round off the fraction 464/824 to the nearest thousandth.

Solution

Step 1: Convert the fraction to a decimal

First, we divide 464 by 824:

464 ÷ 824 = 0.5631067961165

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 0.5631067961165 to the nearest thousandth gives us 0.563.

Explanation: The digit in the thousandth place is 3. The next digit to the right is 1. Since this is less than 5, we keep the thousandth digit as is.

Answer

The fraction 464/824 rounded to the nearest thousandth is 0.563.

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.

Calculations:

Types Of Round Off :

Decimal round-off calculator simplifies complex numerical values to a specified degree of precision, whether it's rounding to tenths, hundredths, or even thousandths. This precision is not merely a mathematical abstraction but a practical necessity in fields where nuanced measurements or financial accuracies are paramount.

Fraction round-off calculator serves as gateways to rendering fractions more accessible and understandable. In mathematical studies and scientific research, precision in fractions holds immense significance. Whether simplifying fractions to common denominators or converting them into decimal equivalents, these calculators ensure clarity without compromising accuracy.

Percentage round-off calculators serve as pivotal instruments in rendering percentages more comprehensible and practical. In financial analyses or statistical data interpretation, precision in percentages holds immense value. These calculators streamline complex percentage values, presenting them in simplified forms that retain accuracy without overwhelming complexity.