To round 7.5791 to the nearest hundredth, follow these steps:
Identify the hundredth place: In the number 7.5791, the hundredth place is the second digit after the decimal point, which is 7.
Look at the thousandth place: The digit in the thousandth place (the third digit after the decimal point) is 9.
Apply rounding rules: Since the digit in the thousandth place (9) is greater than or equal to 5, you round the hundredth place up by 1.
Final rounded result: The hundredth place (7) becomes 8, so the number rounds to 7.58
Thus, 7.5791 rounded to the nearest hundredth is 7.58