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

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

A. [tex]0.79 \times 10^{-6}[/tex] inches
B. [tex]7.9 \times 10^{-4}[/tex] inches
C. [tex]0.79 \times 10^{-3}[/tex] inches
D. [tex]7.9 \times 10^{-2}[/tex] inches

Answer :

The piece of paper is 7.9 times 10^-4 inches thicker than the hair. This is obtained by subtracting the diameter of the hair from the width of the paper and expressing the result in scientific notation.

The difference in thickness between the hair and the paper, we subtract the diameter of the hair from the width of the paper.

The diameter of the hair is given as 3.15 times 10^-3 inches, and the width of the paper is given as 3.94 times 10^-3 inches.

When we subtract the diameter of the hair from the width of the paper, we get 3.94 times 10–³ inches - 3.15 times 10–³ inches = 0.79 times 10–³ inches.

We can express 0.79 times 10–³inches in scientific notation as 7.9 times 10^-4 inches.

Therefore, the piece of paper is 7.9 times 10–⁴inches thicker than the hair.

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Rewritten by : Barada

The piece of paper is 7.9 times [tex]10^{-4}[/tex] inches thicker than the hair. This is obtained by subtracting the diameter of the hair from the width of the paper and expressing the result in scientific notation.

The difference in thickness between the hair and the paper, we subtract the diameter of the hair from the width of the paper.

The diameter of the hair is given as 3.15 times [tex]10^{-3[/tex] inches, and the width of the paper is given as 3.94 times [tex]10^{-3[/tex] inches.

When we subtract the diameter of the hair from the width of the paper, we get 3.94 times[tex]10_3[/tex] inches - 3.15 times[tex]10_3[/tex]inches = 0.79 times [tex]10_3[/tex] inches.

We can express 0.79 times[tex]10_3[/tex] inches in scientific notation as 7.9 times [tex]10^{-4}[/tex] inches.

Therefore, the piece of paper is 7.9 times [tex]10_4[/tex]inches thicker than the hair.

Learn more about hair:

brainly.com/question/30581856

#SPJ11