Round 9812.876316 to 3 decimal places.
The correct answer and explanation is:
The correct answer is 9812.876.
Explanation:
To round a number to a specific number of decimal places, follow these steps:
- Identify the decimal place: The problem asks for rounding to 3 decimal places, which means the third digit after the decimal point.
- Look at the next digit: After the third decimal place, there is another digit, which is 1 (in the thousandths place).
- Determine rounding rule:
- If the digit after the place you are rounding to is 5 or higher, increase the last digit you are keeping by 1.
- If the digit after the place you are rounding to is 4 or lower, leave the last digit you are keeping as is.
In this case, the fourth decimal digit is 3. Since 3 is less than 5, the third decimal digit (6) stays the same, and no rounding is needed.
- Drop the remaining digits: Once you’ve rounded, drop any digits after the third decimal place. This gives the final rounded value: 9812.876.
Rounding numbers is often used in real-world scenarios, such as in finance, where it’s essential to present figures in a manageable format while maintaining enough precision for calculations. The key to rounding is understanding the rounding rules and applying them to the number of decimal places needed.