The Correct Answer and Explanation is:
Correct Answer: 34.78902
Explanation:
The question requires rounding the number 34.7890223305 to five decimal places. Rounding is a mathematical process used to reduce the number of digits in a number while keeping its value as close as possible to the original. This is particularly useful for simplifying long decimal numbers for practical applications.
The first step in rounding to a specific decimal place is to identify the digit at that position. In the number 34.7890223305, we need to find the digit in the fifth position after the decimal point. The digits after the decimal are 7, 8, 9, 0, and 2. Therefore, the digit in the fifth decimal place is 2.
The second step is to look at the very next digit to the right. This digit determines whether we round up or keep the last digit the same. In this case, we need to examine the digit in the sixth decimal place. Looking at our number, 34.7890223305, the sixth digit after the decimal is 2.
The universal rule for rounding is based on this deciding digit. If the deciding digit is 5 or greater (that is, 5, 6, 7, 8, or 9), you must round up. This means you add one to the digit in the position you are rounding to. If the deciding digit is 4 or less (that is, 4, 3, 2, 1, or 0), you do not change the digit in the position you are rounding to; it stays the same.
Applying this rule to our problem, the deciding digit in the sixth decimal place is 2. Since 2 is less than 5, we do not round up. The digit in the fifth decimal place, which is 2, will remain as it is. After determining this, we remove all the digits that follow the fifth decimal place.
Thus, the number 34.7890223305, when correctly rounded to five decimal places, is 34.78902.
