Round each of the following numbers as specified.

(a) 508.576 to the nearest hundredth ________________
(b) 508.576 to the nearest tenth ________________
(c) 508.576 to the nearest hundred

(a) 508.576 to the nearest hundredth --> 508.57

(b) 508.576 to the nearest tenth --> 508.6

correction, sorry

(a) 508.576 to the nearest hundredth --> 508.58

To round a number to a specific decimal place, you need to determine the digit at that decimal place and then follow the rounding rules.

(a) To round 508.576 to the nearest hundredth, you need to focus on the digit two decimal places to the right of the decimal point, which is the "6" in this case.

Since the digit after the hundredth place is 5 or greater, you round up the previous digit, which is "7" in this case. Therefore, the number 508.576 rounded to the nearest hundredth is 508.58.

(b) To round 508.576 to the nearest tenth, you need to focus on the digit one decimal place to the right of the decimal point, which is the "7" in this case.

Since the digit after the tenth place is 5 or greater, you round up the previous digit, which is "6" in this case. Therefore, the number 508.576 rounded to the nearest tenth is 508.6.

(c) To round 508.576 to the nearest hundred, you need to focus on the digit one place to the right of the whole number, which is the "0" in this case.

Since the digit after the hundred place is less than 5, you keep the previous digit as it is. Therefore, the number 508.576 rounded to the nearest hundred is 500.