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Calcium chloride is a IONIC compound, meaning that the calcium donated it's two valence electrons. Chloride only has one available spot left in it's valence shell. Therefor calcium donates one electron to two different chlorines. The result is THREE ions, one calcium ion (which is shown as [Ca]2+ (with NO electrons in the valence shell shown) and two chloride ions, which is shown as 2 [Cl]- (there should be eight dots shown surrounding Cl inside the parenthesis).

There are NO lines drawn between the Ca and Cl, because in a dot structure, a line represents a COVALENT bond (shared electrons). Calcium and chlorine have no shared electrons, so no line representing a covalent bond should be drawn.

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