QuestionJuly 25, 2025

The diameter of a hydrogen atom is about meters. A protein molecule has an overall length of 3000 times (or 3times 10^3times) the diameter of a hydrogen atom. What is the length of the protein molecule,. in meters , if it were written in scientific notation? 3.15times 10^-8meters 3.15times 10^-12meters meters 3.15times 10^-7meters

The diameter of a hydrogen atom is about meters. A protein molecule has an overall length of 3000 times (or 3times 10^3times) the diameter of a hydrogen atom. What is the length of the protein molecule,. in meters , if it were written in scientific notation? 3.15times 10^-8meters 3.15times 10^-12meters meters 3.15times 10^-7meters
The diameter of a hydrogen atom is about meters. A protein molecule has an overall length of 3000 times (or 3times 10^3times) the diameter of a hydrogen atom. What is the length of the protein molecule,. in meters , if it were written in scientific notation? 3.15times 10^-8meters 3.15times 10^-12meters meters 3.15times 10^-7meters

Solution
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Answer

9.45 \times 10^{-7} meters Explanation 1. Identify the diameter of a hydrogen atom The diameter is given as 3.15 \times 10^{-10} meters. 2. Calculate the length of the protein molecule Multiply the diameter by 3000: Length = 3.15 \times 10^{-10} \times 3 \times 10^{3} 3. Simplify the expression Combine powers of 10: 3.15 \times 3 = 9.45 and 10^{-10} \times 10^{3} = 10^{-7} 4. Write in scientific notation The length is 9.45 \times 10^{-7} meters.

Explanation

1. Identify the diameter of a hydrogen atom<br /> The diameter is given as $3.15 \times 10^{-10}$ meters.<br /><br />2. Calculate the length of the protein molecule<br /> Multiply the diameter by 3000: <br /> Length = $3.15 \times 10^{-10} \times 3 \times 10^{3}$<br /><br />3. Simplify the expression<br /> Combine powers of 10: <br /> $3.15 \times 3 = 9.45$ and $10^{-10} \times 10^{3} = 10^{-7}$<br /><br />4. Write in scientific notation<br /> The length is $9.45 \times 10^{-7}$ meters.
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