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?
Accepted Solution
A:
Answer:Given that the diameter of a human hair = 9 \times 10^{-5}=9×10−5Given that the diameter of a spider's silk = 3 \times 10^{-6}=3×10−6Now 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}9×10−5−3×10−6Since powers are not same so let's make them equal= 90 \times 10^{-6} - 3 \times 10^{-6}=90×10−6−3×10−6now we can easily subtract the coefficients that is 3 from 9= (90-3) \times 10^{-6}=(90−3)×10−6= 87 \times 10^{-6}=87×10−6= 8.7 \times 10^{-5}=8.7×10−5Hence final answer is 8.7 \times 10^{-5}8.7×10−5 .