**Correct Option: A. 3.27** ### Detailed Explanation: Rounding a number involves adjusting it to a specified degree of precision, in this case, to two decimal places. Here’s how to round the number 3.276 to two decimal places step-by-step: 1. **Identify the Decimal Places**: - The number 3.276 has three decimal places: 2, 7, and 6. - We want to round it to two decimal places, which means we will keep the first two digits after the decimal point. 2. **Look at the Third Decimal Place**: - The first two decimal places in 3.276 are 2 and 7. - The third decimal place is 6. 3. **Apply the Rounding Rule**: - The general rule for rounding is: - If the digit in the place immediately after the last digit you want to keep (in this case, the third decimal place) is 5 or greater, you round up the last digit you are keeping. - If it is less than 5, you leave the last digit you are keeping unchanged. - Here, since the third decimal place is 6 (which is greater than 5), we will round up the second decimal place (7). 4. **Perform the Rounding**: - The second decimal place (7) will be increased by 1, resulting in 8. - Therefore, when we round 3.276 to two decimal places, we get 3.28. 5. **Final Result**: - The rounded number is 3.28. ### Why Other Options Are Incorrect: - **Option B: 3.28**: This is actually the correct answer based on the rounding process described above. It is the result of rounding 3.276 to two decimal places. - **Option C: 3.30**: This option suggests rounding up to 3.30, which is incorrect. The rounding process does not lead to this value because the second decimal place (7) rounds up to 8, not 0. - **Option D: 3.25**: This option is also incorrect. It suggests a decrease in value, which does not follow the rounding rules. The number 3.276 rounds up to 3.28, not down to 3.25. ### Common Pitfalls: - **Forgetting the Rounding Rule**: Students often forget to apply the rounding rule correctly, especially when the third decimal place is exactly 5. Remember, if it’s 5 or more, round up; if it’s less than 5, keep it the same. - **Misreading the Question**: Ensure you are rounding to the correct number of decimal places as specified in the question. ### Revision Summary: - Rounding involves adjusting a number to a specified number of decimal places. - To round, look at the digit immediately after the last digit you want to keep. - If that digit is 5 or greater, round up; if it’s less than 5, keep the last digit the same. - The correct rounding of 3.276 to two decimal places is 3.28.