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denis-greek [22]
3 years ago
6

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 s

tate 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?
Mathematics
1 answer:
g100num [7]3 years ago
8 0

Answer:

20000000 large glass marbles

Step-by-step explanation:

Given

Diameter = 2 * 10^{-2}m --- Marble

Length = 4 * 10^5m --- Virginia

Required

Determine the number or marbles that measures the length of Virginia

This is calculated as thus:

Number = \frac{Length}{Diameter}

Number = \frac{4 * 10^{5}m}{2 * 10^{-2}m}

Number = \frac{4 * 10^{5}}{2 * 10^{-2}}

Number = \frac{2 * 10^{5}}{10^{-2}}

Apply Law of Indices

Number = 2 * 10^{5 - (-2)}

Number = 2 * 10^{5 +2}

Number = 2 * 10^7

Number = 2 * 10000000

Number = 20000000

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