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Answer :
Final answer:
The correct answer to the student's question is (b) 6.2 × 10⁴, obtained by dividing the significant figures of the given numbers and subtracting the exponents from their scientific notation.
Explanation:
The student asked for the quotient of 3.069 × 10⁶ and 4.95 × 10² expressed in scientific notation. To calculate this, we divide the numbers and subtract the exponents:
Divide the significant figures: 3.069 ÷ 4.95 = 0.6198
Subtract the exponents for powers of 10: 10⁶ ÷ 10² = 10⁴, since 6 - 2 = 4.
Rewrite the quotient in scientific notation, rounding the significant figure to two decimal places: 0.6198 is approximately 0.62, thus the answer in scientific notation is 6.2 × 10⁴.
Therefore, the correct answer is (b) 6.2 × 10⁴.
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