Convert m^2 to cm^2: How Many Transistors Fit Across a Human Hair?

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One square meter (m^2) equals 10,000 square centimeters (cm^2). The average size of a transistor in 2000 was 250 nanometers, while a human hair has a diameter of 70 micrometers. Calculating the number of transistors that fit across a human hair reveals that approximately 280 transistors can fit. Participants emphasized the importance of understanding basic metric conversions to solve these types of problems. The discussion highlights the intersection of measurement and technology in understanding microprocessor design.
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(1.) How many cm^2 equal a m^2?

A.) 10^2
B.) 10^4
C.) 10^-2
D.) 10^-4
E.) 10^6


(2.) In the year 2000, the average size of a transistor in a microprocessor was 250 nanometers. A human hair has a diameter of 70 microns (micrometers). How many transistors fit across a human hair?

A.) 2.8
B.) 28
C.) 0.28
D.) 2800
E.) 280
 
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