The diameter of a strand of rope is 1.2x10^-3inch. The diameter of a strand of floss is 2.0x10^-4inch. How much longer is the diameter of the strand of rope than the diameter of the strand of floss? A. 2.0x10^-7 inch B. 1.0x10^-7 inch C. 2.0x10^-3 inch D. 1.0x10^-3 inch

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Respuesta :

Subtract the diameter of the floss from the diameter of the rope.

1.2*10^-3 - 2.0*10^-4 =

0.0012 - 0.0002 = 0.001

0.001 = 1.0^10^-3

The answer is  D. 1.0x10^-3 inch

Answer:

The diameter of the strand of rope is [tex]1.0 \times 10^{-3}[/tex] longer than the diameter of the strand of floss.

Step-by-step explanation:

Given :

The diameter of a strand of rope is [tex]1.2 \times 10^{-3}[/tex]inch.

The diameter of a strand of floss is [tex]2.0 \times 10^{-4}[/tex]inch.

To Find :  How much longer is the diameter of the strand of rope than the diameter of the strand of floss?

Solution:

The diameter of a strand of rope = [tex]1.2 \times 10^{-3}=\frac{1.2}{1000}=0.0012[/tex]inch.

The diameter of a strand of floss = [tex]2.0 \times 10^{-4}=\frac{2}{10000}=0.0002[/tex]inch.

Difference = 0.0012-0.0002 = 0.001 = [tex]\frac{1}{1000}=1.0 \times 10^{-3}[/tex]

So, option D is true .

Hence the diameter of the strand of rope is [tex]1.0 \times 10^{-3}[/tex] longer than the diameter of the strand of floss.

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