To round the number 0.587 to the nearest hundredth, we follow these steps:
1. Identify the digit in the hundredths place. In the number 0.587, the digit in the hundredths place is 8.
2. Look at the digit immediately to the right of the hundredths place, which is in the thousandths place. In this case, the digit is 7.
3. Determine if the digit in the thousandths place (7) is 5 or greater, or less than 5. If it is 5 or greater, we will round up the digit in the hundredths place by 1. If it is less than 5, the digit in the hundredths place remains the same.
4. Since the digit in the thousandths place (7) is greater than 5, we round up the 8 in the hundredths place to 9.
Thus, 0.587 rounded to the nearest hundredth is 0.59.
