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What is the difference between Arithmetic and Mathematics? “Arithmetic is to mathematics as spelling is to writing.” (1) the study of the relationships among numbers, shapes, and quantities, ... The most obvious difference is that arithmetic is all about numbers and mathematics is all about theory.
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When you're referring to addition, subtraction, multiplication and division, the proper word is "arithmetic," maintains our math fan. "Math," meanwhile, is reserved for problems involving signs, symbols and proofs — algebra, calculus, geometry and trigonometry.
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