A human hair has a diameter of about 4×10−3 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) inches

1 answer

To find the thickness of a fingernail, we start with the diameter of a human hair, which is approximately \(4 \times 10^{-3}\) inches, and then we need to add the thickness of the fingernail, which is given as \(0.011\) inches thicker than the hair.

First, let's convert \(4 \times 10^{-3}\) inches to a decimal:

\[ 4 \times 10^{-3} = 0.004 \text{ inches} \]

Now, we add \(0.011\) inches to \(0.004\) inches to find the thickness of the fingernail:

\[ \text{Thickness of fingernail} = 0.004 + 0.011 = 0.015 \text{ inches} \]

Now, rounding to three decimal places, the thickness of the fingernail is:

\[ \boxed{0.015} \text{ inches} \]