Subjects algebra

Scientific Notation Division

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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: \( 1.45 \times 10^{4} \).