1. The problem asks to round the number 7.583 to 2 decimal places. 2. Identify the digit at the 2nd decimal place which is the hundredths place. Here, it is 8 in 7.583. 3. Look at the digit immediately after the 2nd decimal place, which is the thousandths place (3 here). 4. If this digit is 5 or greater, round up the 2nd decimal digit by 1. If less than 5, keep the 2nd decimal digit the same. 5. Since 3 is less than 5, we keep the second decimal digit (8) unchanged. 6. Therefore, rounding 7.583 to 2 decimal places gives 7.58. Final answer: **7.58**