1 Answer

Chanaka Amarasinghe · Answer 1 · 2023-09-21T20:56:53+0000

Since 1 nanometer = 1x10^-9 meter, then, use the conversion factor:

$\frac{1nm}{10^(-9)m^{}}$

Multiply the thickness of the sheet of paper measured in meters times the conversion factor:

$(0.00005m)\cdot(1nm)/(10^(-9)m)$

Rewrite 0.00005 in scientific notation by moving the point 5 places to the right:

$0.00005=5\cdot10^(-5)$

The thickness of the sheet of paper, is:

$(5\cdot10^(-5))/(10^(-9))nm$

Use the laws of the exponents to rewrite 10^-5/10^-9:

$5\cdot(10^(-5))/(10^(-9))nm=5\cdot10^(-5-(-9))nm=5\cdot10^(-5+9)nm=5\cdot10^4nm$

Rewrite 5x10^4 nm by moving the point 4 places to the right:

$5\cdot10^4nm=50,000nm$

Therefore, the thickness of a sheet of paper is 50,000 nm.

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