High School

A human hair was measured to have a diameter of \(3.15 \times 10^{-3}\) inches. The width of a piece of paper was measured to be \(3.94 \times 10^{-3}\) inches thick.

In scientific notation, how much thicker is the piece of paper than the hair?

A. \(0.79 \times 10^{-6}\) inches
B. \(7.9 \times 10^{-4}\) inches
C. \(0.79 \times 10^{-3}\) inches
D. \(7.9 \times 10^{-2}\) inches

Answer :

Final answer:

The piece of paper is 7.9 x 10⁻⁴ inches thicker than the hair.

Explanation:

To calculate how much thicker the piece of paper is compared to the hair, we need to subtract the diameter of the hair from the thickness of the paper. The thickness of the paper is 3.94⁣ × ⁣10-3 inches and the diameter of the hair is 3.15⁣ × ⁣10-3 inches. Subtracting the two values, we get 3.94⁣ × ⁣10-3 - 3.15⁣ × ⁣10-3 = 0.79⁣ × ⁣10-4 inches. Therefore, the correct answer is b. 7.9⁣ × ⁣10-4 inches thicker.

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