In regular algebra, addition and multiplication are commutative : $$A + B = B + A$$ $$A \times B = B \times A$$ they are also associative : $$A + (B + C) = (A + B) + C$$ $$A \times (B \times C) = (A\times B) \times C$$ And multiplication is said to be distributive : $$A \times (B + C) = (A \times B) + (A \times C)$$.
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Lancaster was born in Manhattan, New York City, at his parents' home at 209 East 106th Street, between Second and Third Avenues, today the site of Benjamin Franklin Plaza. Lancaster was the son of Elizabeth (nÃ©e Roberts) and James Henry Lancaster, who was a mailman.