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A human hair is approximately 4040 microns wide. If 11 micron is equal to 10−610^{-6} meters, and 11 nanometer is equal to 10−910^{-9} m, then how many nanometers wide is a human hair?

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Full solution

Q. A human hair is approximately 4040 microns wide. If 11 micron is equal to 10−610^{-6} meters, and 11 nanometer is equal to 10−910^{-9} m, then how many nanometers wide is a human hair?
  1. Convert to meters: Convert microns to meters. Since 11 micron equals 10−610^{-6} meters, multiply 4040 microns by 10−610^{-6} to convert to meters.\newlineCalculation: 4040 microns ×10−6\times 10^{-6} meters/micron = 0.000040.00004 meters.
  2. Convert to nanometers: Convert meters to nanometers. Since 11 meter equals 10910^9 nanometers, multiply the result from the previous step by 10910^9 to convert to nanometers.\newlineCalculation: 0.000040.00004 meters ×109\times 10^9 nanometers/meter =40,000= 40,000 nanometers.

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