1. **State the problem:** Find the exact value of $$3675 \times 15 \div 16$$ and then round it to (a) the nearest 100, (b) 3 decimal places, and (c) 3 significant figures. 2. **Calculate the exact value:** $$3675 \times 15 = 55125$$ $$55125 \div 16 = 3445.3125$$ 3. **(a) Round to the nearest 100:** The hundreds digit is 4, and the tens digit is 4 (less than 5), so we round down: $$3445.3125 \approx 3400$$ 4. **(b) Round to 3 decimal places:** Look at the fourth decimal place (1), which is less than 5, so we keep the third decimal place as is: $$3445.3125 \approx 3445.313$$ 5. **(c) Round to 3 significant figures:** The first three significant digits are 3, 4, and 4. The next digit is 5, so we round up the last significant digit: $$3445.3125 \approx 3450$$ **Final answers:** - Exact value: $$3445.3125$$ - Nearest 100: $$3400$$ - 3 decimal places: $$3445.313$$ - 3 significant figures: $$3450$$