Proof that the distributivity of multiplication over addition is true for integer also as for
whole numbers.
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Three 5's=5+5+5
=Five 1's + Five 1's + Five 1's.
Each five is the same multiple of 1,namely the fifth. Therefore the sum of those same multiples of 1 will be that multiple of the sum of the 1's (Theorem 1.) it will be the fifth multiple of 1+1+1.
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