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The reason as to why metallic posses these properties is because the electrons do not stay in their assigned orbitals, they become delocalised and move all over the place.
But what does this have to do about conducting electricity?
Well the delocalised electrons will all move in the same directions when a heat source is applied, such as burning fossil fuels (the most common way), the energy in the movement of electrons carries heat from one side on a copper wire used in powerlines to our houses ready for use.