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 Arithmetics Multiplication of whole numbers Multiplication of whole numbers The product of two whole numbers, m and n is: m x n=m+m+...+m (n times) This is just a shorthand for saying, "Add m to itself n times." 7 x 5 = 7+7+7+7+7=35, but you only write 7 x 5 = 35               Properties of multiplication 1. Associative: For any three whole numbers a, b and c: ax(bxc) = (axb)xc Example 1:                                 Example 2: (5 x 7) x 2 = 35 x 2 = 70               (4 x 9) x 3 = 36 x 3 = 108 5 x ( 7 x 2) = 5 x 14 = 70              4 x ( 9 x 3) = 4 x 27 = 108 2. Commutative: For any two whole numbers a and b: a x b = b x a 12 x 7 = 7 x 12 = 84 24 x 19 = 19 x 24 = 216 Find the following product: $19\;\text{x}\;14\;\text{x}\;11\;=$