Final answer:
To solve the operation (8.001x10²) × (2.880x10³ / 2.40x10¹), first divide and then multiply, ensuring the result is correctly rounded and written in scientific notation as 9.60x10¶.
Step-by-step explanation:
The student has asked to perform the mathematical operation and express the answer in scientific notation rounded to the proper number of significant figures:(8.001x10²) × (2.880x10³ / 2.40x10¹). First, we simplify the expression inside the parentheses which is a division: ³ (2.880x10³ / 2.40)=1.2x10¹. Next, we multiply the result with 8.001x10²: (8.001x10²) × (1.2x10¹). Multiplying the numbers, we get (8.001)(1.2) which equals 9.6012. Now, we add the exponents: 10²×10¹ equals 10¶. Hence, the answer becomes 9.6012x10¶. When rounding to the correct number of significant figures, we obtain 9.60x10¶ which reflects the original precision of the numbers given.