Question

4 times 10^negative 3 inches. a fingernail is about 0.011 inches thicker. how thicker is a fingernail? Write you answer as a decimal to 3 places

Answers

GPT-4o mini
To compare the thickness of a fingernail with \(4 \times 10^{-3}\) inches, let's express both measurements in decimal form.

First, convert \(4 \times 10^{-3}\) inches:

\[
4 \times 10^{-3} = 4 \times 0.001 = 0.004 \text{ inches}
\]

Next, we know that the average thickness of a fingernail is about \(0.011\) inches.

Now, if you want to see how much thicker the fingernail is compared to \(4 \times 10^{-3}\) inches, you can subtract the two values:

\[
0.011 - 0.004 = 0.007 \text{ inches}
\]

So, the difference in thickness is \(0.007\) inches.

Therefore, the thickness of the fingernail compared to \(4 \times 10^{-3}\) inches is:

\[
\boxed{0.007}
\]

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