Question

A thin layer of paint is 9x10^-7 m thick. In​ contrast, a coin is 3.51 x 10^-3 m thick. How many layers of paint are in a stack that is the height of the​ coin?

Answer 1

3900

Explanation:

Thickness of the thin layer of paint =
`9X10^{-7` m.

Thickness of the coin =
`3.51 X 10^{-3` m.

To find out how many layers of paint are in a stack that is the height of the​ coin, we simply divide the thickness of the coin by the thickness of each thin layer of paint.

Number of Layers
`=(3.51 X 10^(-3))/(9X10^(-7))`

`=(3.51 )/(9)X 10^(-3-(-7))\\=0.39X10^(-3+7)\\=0.39X10^4\\=3900`