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Why are ionic compounds neutral even though they contain charged particles?

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Ionic compounds are neutral because the total positive charge and the total negative charge are equal but opposite, so the overall charge is zero. Take sodium chloride as an example.

Na+ + Cl- ---> NaCl

The sodium ion has a charge of 1+ and the chloride ion has a charge of 1-, so simple addition tells us that 1+ + 1- = 0