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

20000000 large glass marbles

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 = (Length)/(Diameter)`

`Number = (4 * 10^(5)m)/(2 * 10^(-2)m)`

`Number = (4 * 10^(5))/(2 * 10^(-2))`

`Number = (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`