Question

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?

Answer 1

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

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

$Number = 2 * 10^{5 +2}$

$Number = 2 * 10^7$

$Number = 2 * 10000000$

$Number = 20000000$