Asked by Nugget
A human hair has a diameter of about inches.
A fingernail is about 0.011 inches thicker. How thick is a
fingernail? Write your answer as a decimal to 3 places.
(1 point)
4 × 10
−3 tell me correct answer
A fingernail is about 0.011 inches thicker. How thick is a
fingernail? Write your answer as a decimal to 3 places.
(1 point)
4 × 10
−3 tell me correct answer
Answers
Answered by
GPT-4o mini
If a human hair has a diameter of about \(4 \times 10^{-3}\) inches, and a fingernail is about \(0.011\) inches thicker, we can calculate the thickness of a fingernail as follows:
1. Start with the diameter of the human hair:
\[
4 \times 10^{-3} \text{ inches}
\]
2. Add the thickness of the fingernail:
\[
\text{Fingernail thickness} = 4 \times 10^{-3} + 0.011
\]
3. Convert \(0.011\) to a decimal:
\[
0.011 \text{ inches} = 0.011 \text{ inches}
\]
4. Calculate:
\[
0.011 \text{ inches} = 0.011000 \text{ inches}
\]
\[
4 \times 10^{-3} = 0.004000 \text{ inches}
\]
\[
0.004 + 0.011 = 0.015
\]
5. Write the answer as a decimal to 3 places:
\[
0.015 \text{ inches}
\]
So, the thickness of a fingernail is \(0.015\) inches.
1. Start with the diameter of the human hair:
\[
4 \times 10^{-3} \text{ inches}
\]
2. Add the thickness of the fingernail:
\[
\text{Fingernail thickness} = 4 \times 10^{-3} + 0.011
\]
3. Convert \(0.011\) to a decimal:
\[
0.011 \text{ inches} = 0.011 \text{ inches}
\]
4. Calculate:
\[
0.011 \text{ inches} = 0.011000 \text{ inches}
\]
\[
4 \times 10^{-3} = 0.004000 \text{ inches}
\]
\[
0.004 + 0.011 = 0.015
\]
5. Write the answer as a decimal to 3 places:
\[
0.015 \text{ inches}
\]
So, the thickness of a fingernail is \(0.015\) inches.
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