The problem asks to round the number 3184.5641 in two different ways:

a. Round to two decimal places: To round a number to two decimal places, we look at the third decimal place. Here, the third decimal place is 4. Since 4 is less than 5, we leave the second decimal place as is.

• 3184.5641 rounded to two decimal places is 3184.56.

b. Round to the nearest hundred: To round to the nearest hundred, we look at the tens place, which is 8. Since 8 is greater than or equal to 5, we round the hundreds place up by 1.

• 3184.5641 rounded to the nearest hundred is 3200.

Would you like any additional details or have any questions?

Here are 5 related questions for more practice:

1. Round 5678.9123 to one decimal place.
2. Round 2547.351 to the nearest thousand.
3. Round 1234.56789 to three decimal places.
4. Round 983.265 to the nearest ten.
5. Round 45.678 to the nearest whole number.

Tip: When rounding, always focus on the next digit to the right of the place you're rounding to—this determines whether you round up or keep the number the same.