Problem

4. Graphite is made up of layers of graphene. Each layer of graphene is about 200 picameters, or $200 \times 10^{-12}$ meters, thick. How many layers of graphene are there in a 1.6-mm-thick piece of graphite? Express your answer in scientific notation.
(From Unit 7, Lesson 14.)

Answer

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Answer

\(\boxed{8.00 \times 10^3}\) layers of graphene in a 1.6-mm-thick piece of graphite.

Steps

Step 1 :Convert the thickness of the graphite piece to picometers: \(1.6 \text{ mm} = 1.6 \times 10^6 \text{ pm}\)

Step 2 :Divide the thickness of the graphite piece by the thickness of one graphene layer: \(\frac{1.6 \times 10^6 \text{ pm}}{200 \text{ pm}} = 8 \times 10^3\)

Step 3 :\(\boxed{8.00 \times 10^3}\) layers of graphene in a 1.6-mm-thick piece of graphite.

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