Final answer:
To round 5.899 to the nearest hundredth, we add 1 to the hundredths digit because the thousandths digit is greater than 5. The rounded value is 5.90.
Step-by-step explanation:
To round 5.899 to the nearest hundredth, we look at the digit in the thousandths place, which is 9. Since 9 is greater than 5, we round up. Round up means adding 1 to the digit in the hundredths place and dropping all the digits to the right. So, 5.899 rounded to the nearest hundredth is 5.90.