To round the number 73.5965 to the hundredths place, follow these steps:
1. Identify the place to round to: The hundredths place is the second digit to the right of the decimal point. In this case, the digit in the hundredths place is 9.
2. Look at the digit in the next smallest place: This is the digit immediately to the right of the hundredths place. Here, the digit in the thousandths place is 6.
3. Decide to round up or down:
- If the digit in the next smallest place (the thousandths place) is 5 or greater, you round the hundredths place up.
- If the digit is less than 5, you round down (the hundredths place stays the same).
In this problem, the digit in the thousandths place is 6, which is greater than 5. Therefore, we round up.
4. Round up the hundredths place:
- Increase the hundredths place by 1.
- The 9 in the hundredths place becomes 10, which carries over to change the 5 (tenths place) into 6 and resets the hundredths place to 0.
5. Construct the rounded number: Substitute back into the number, keeping only up to the hundredths place. Discard all digits following the hundredths place.
So, the number 73.5965 rounded to the hundredths place is 73.60, which can be simply written as 73.6.
