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Question
the diameter of a water molecule is 0.00000000033 m. which is the best estimate of the diameter of a water molecule expressed as the product a single digit and a power of 10? 3×10¹⁰ m 3×10⁻¹⁰ m 30×10⁻⁹ m 3×10⁻¹¹ m
Step1: Convert to scientific notation
To convert 0.00000000033 to scientific - notation, move the decimal point to the right until we have a number between 1 and 10. We move the decimal point 10 places to the right to get 3.3. Since we moved the decimal point 10 places to the right, the exponent of 10 is - 10. So, 0.00000000033 = 3.3×10⁻¹⁰. Rounding 3.3 to a single - digit number gives 3. So, 0.00000000033≈3×10⁻¹⁰.
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B. 3×10⁻¹⁰ m