Question

The diameter of a human hair is 9 \cdot 10^{-5}9⋅10 −5 9, dot, 10, start superscript, minus, 5, end superscript meters. The diameter of a spider's silk is 3 \cdot 10^{-6}3⋅10 −6 3, dot, 10, start superscript, minus, 6, end superscript meters.How much greater is the diameter of a human hair than the diameter of a spider's silk?

Answer 1

Given that the diameter of a human hair $= 9 \times 10^{-5}$

Given that the diameter of a spider's silk $= 3 \times 10^{-6}$

Now we have to find how much greater is the diameter of a human hair than the diameter of a spider's silk.

To find that we just need to subtract the given numbers.

$9 \times 10^{-5} - 3 \times 10^{-6}$

Since powers are not same so let's make them equal

$= 90 \times 10^{-6} - 3 \times 10^{-6}$

now we can easily subtract the coefficients that is 3 from 9

$= (90-3) \times 10^{-6}$

$= 87 \times 10^{-6}$

$= 8.7 \times 10^{-5}$

Hence final answer is $8.7 \times 10^{-5}$.