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A large glass marble made in West Virginia has a diameter of 2 cross times 10 to the power of minus 2 end exponent meters. The state of West Virginia is about 4 cross times 10 to the power of 5 meters in length. Which number is closest to how many large glass marbles it would take to measure the length of West Virginia?

Respuesta :

MrRoyal

Answer:

20000000 large glass marbles

Step-by-step explanation:

Given

[tex]Diameter = 2 * 10^{-2}m[/tex] --- Marble

[tex]Length = 4 * 10^5m[/tex] --- Virginia

Required

Determine the number or marbles that measures the length of Virginia

This is calculated as thus:

[tex]Number = \frac{Length}{Diameter}[/tex]

[tex]Number = \frac{4 * 10^{5}m}{2 * 10^{-2}m}[/tex]

[tex]Number = \frac{4 * 10^{5}}{2 * 10^{-2}}[/tex]

[tex]Number = \frac{2 * 10^{5}}{10^{-2}}[/tex]

Apply Law of Indices

[tex]Number = 2 * 10^{5 - (-2)}[/tex]

[tex]Number = 2 * 10^{5 +2}[/tex]

[tex]Number = 2 * 10^7[/tex]

[tex]Number = 2 * 10000000[/tex]

[tex]Number = 20000000[/tex]

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