How can electrons have wave-like properties?
Light and matter both have particle and wave-like properties! The wavelength of a material object is given by planck’s constant (6.6*10^(-34) J*s) divided by its momentum. For the macroscopic everyday object this wavelength is so small as to be inconsequential. However, for something as tiny as an electron, the wavelength is much larger, and its wave-like properties can be utilized.