Divide. Write your answer in scientific notation.
6.56 × 10⁻²
8.2 × 10⁰
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To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.
Here’s the calculation step-by-step:
1. Divide the coefficients:
[
frac{6.56}{8.2} approx 0.8
]
2. Subtract the exponents:
[
-2 – 0 = -2
]
3. Combine the results:
[
0.8 times 10^{-2}
]
4. Convert to proper scientific notation:
Scientific notation requires the coefficient to be between 1 and 10, so we rewrite 0.8 as 8.0 and adjust the exponent:
[
8.0 times 10^{-3}
]
Thus, the final answer is:
[
8.0 times 10^{-3}
]