Scientific Notation Division
1. State the problem: Calculate \( \frac{2.45 \times 10^{-5} \times 4.76 \times 10^{12}}{8.06 \times 10^{3}} \) and express the answer in standard form to 3 significant figures.
2. Multiply the numerators: \( 2.45 \times 4.76 = 11.662 \).
3. Multiply the powers of ten in the numerator: \( 10^{-5} \times 10^{12} = 10^{(-5+12)} = 10^{7} \).
4. So the numerator is \( 11.662 \times 10^{7} \).
5. Divide the numerator by the denominator coefficient: \( \frac{11.662}{8.06} \approx 1.447 \).
6. Divide the powers of ten: \( \frac{10^{7}}{10^{3}} = 10^{7-3} = 10^{4} \).
7. Combine the results: \( 1.447 \times 10^{4} \).
8. Round to 3 significant figures: \( 1.45 \times 10^{4} \).
Final answer: \( 1.45 \times 10^{4} \).