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Arithmetic is actually a small branch of maths (the basic addition, subtraction and multiplication stuff), rather than all maths in general. The reason it's called arithmetic is the same reason algebra is called "algebra" - both words descend from ancient Arabic. (Maths existed before it was named by the ancient Arab's, however it was not called arithmetic/algebra). "Arithmetic" has been around (as a word) since the 3rd AD.

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Q: When did people call math arithmetic?
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