Round 4.2696398809 to 6 decimal places
The correct answer and explanation is:
The number 4.2696398809 rounded to six decimal places is 4.269640.
Explanation:
To round a number to a specific number of decimal places, you must examine the digit immediately following the last desired decimal place. In this case, you’re asked to round 4.2696398809 to six decimal places.
Here’s the step-by-step breakdown:
- Identify the first six decimal places: The given number is 4.2696398809. The first six decimal places are 269639.
- Look at the next digit: The next digit after the sixth decimal place is 8.
- Determine if rounding up or down: According to standard rounding rules, if the digit after the last decimal place you are rounding to is 5 or greater, you round the last digit up. If it’s less than 5, you round down.
- In this case, the digit after the sixth decimal place is 8, which is greater than 5, so you round the last digit (which is 9) up by one.
- Final result: After rounding, the number becomes 4.269640.
Rounding helps simplify numbers while maintaining an acceptable level of precision for practical use. This is especially important in fields like mathematics, engineering, and finance, where exact values are not always necessary, but a close approximation is sufficient.
In everyday situations, rounding is done to make calculations easier or to meet the required precision for reporting results.