101647 101647
  • 10-03-2020
  • Mathematics
contestada

How many times smaller is 2 × 10^-10 than 4 × 10^-5

Respuesta :

frika
frika frika
  • 18-03-2020

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number [tex]=4\times 10^{-5}[/tex]

Smaller number [tex]=2\times 10^{-10}[/tex]

Then

[tex]\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000[/tex]

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