1. The problem is to round the number 3.675 to 2 decimal places. 2. The rule for rounding to 2 decimal places is to look at the third decimal place (thousandths place). 3. If the third decimal digit is 5 or greater, we round the second decimal digit up by 1. 4. Here, the number is 3.675, where the third decimal digit is 5. 5. So, we round the second decimal digit (7) up by 1, which becomes 8. 6. Therefore, 3.675 rounded to 2 decimal places is 3.68.