To round a number to the nearest hundredth, first take a look at the thousandths place (the third place to the right of the decimal) and determine if the digit is greater than or less than 4. If the digit is greater than 4, increase the hundredths place digit by one and drop the thousandths place digits and/or all other numbers behind it. If the digit is less than four, simply drop the thousandths place digits and/or all other numbers behind it. Now let's take a look at 8.413. The digit in the thousandths place is 3. 3 is less than four. So drop the 3 and leave the rest of the numbers before it. The answer is 8.41.