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The small mass of an electron is significant as it allows us to observe the wavelike properties of an electron even when it is traveling at high speeds (even as the speed gets closer to the speed of light, the mass is so small that the wavelength=(h/(mass X velocity)) is observable.
Yes, its mass will be important to know for the test. It may be given to us but I wouldn't rely on that. The mass isn't considered for stuff like the atomic mass, as only protons and neutrons are considered due to their much greater mass, but for our upcoming case it is imperative to consider the electron's mass.
Yes, watch out for calculating the kinetic energy (1/2mv^2) of an electron, in which you will need the mass of an electron. Also, if you need to calculate the wavelength of an electron, you would use de Broglie's equation, not c=h*lambda because an electron has a mass, whereas a photon's mass is negligible.
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