The question is asking to round the number 3184.5641 in two different ways:

Part a. Round to two decimal places:

• We start with the number 3184.5641.
• To round to two decimal places, look at the third decimal place (which is 4 in this case).
• Since 4 is less than 5, we do not round up.
• Therefore, the number rounded to two decimal places is 3184.56.

Part b. Round to the nearest hundred:

• To round to the nearest hundred, focus on the hundreds place, which is the 1 in 3184 (since it is in the hundreds position).
• Look at the digit in the tens place, which is 8. Since it is greater than or equal to 5, we round up.
• Rounding 3184 to the nearest hundred gives 3200.

Final answers:

• a. 3184.56
• b. 3200

Would you like more details or have any questions?

Here are some related questions to practice:

1. Round 475.8357 to three decimal places.
2. Round 9876.4321 to the nearest thousand.
3. Round 56.98765 to two decimal places.
4. Round 12345.6789 to the nearest ten.
5. Round 849.999 to the nearest hundred.

Tip: When rounding, always check the next digit to the right of the place you are rounding to determine if you should round up or keep it the same.