The Correct Answer and Explanation is:
The correct answer is 34.78902.
Rounding a number to a specific decimal place is a method of simplifying it to a value that is approximately equal to the original. The goal is to make the number shorter and easier to work with while maintaining a required level of precision. To round the number 34.7890223305 to 5 decimal places, we follow a systematic procedure.
First, we must identify the digit in the fifth position after the decimal point. This is the digit we will be rounding. Let’s count the decimal places in the given number:
- 1st decimal place: 7
- 2nd decimal place: 8
- 3rd decimal place: 9
- 4th decimal place: 0
- 5th decimal place: 2
The digit in the fifth decimal place is 2. This is the last digit that will appear in our final rounded answer.
Next, we must look at the digit immediately to the right of this target digit. This is the sixth decimal digit, which will determine how we round. In the number 34.7890223305, the digit in the sixth decimal place is 2.
The universal rule of rounding is based on this next digit. If this digit is 5 or greater (meaning 5, 6, 7, 8, or 9), we round up. This means we would increase the target digit in the fifth decimal place by one. However, if the digit is 4 or less (meaning 0, 1, 2, 3, or 4), we round down. This means we leave the target digit as it is.
In this case, the decision digit is 2. Since 2 is less than 5, we apply the rule for rounding down. This means the target digit, the 2 in the fifth decimal place, remains unchanged.
Finally, we write the rounded number by keeping the whole number part and the decimal digits up to the fifth place, while dropping all subsequent digits.
Therefore, 34.7890223305 rounded to 5 decimal places is 34.78902.
