There is no short form. Most people, in most of the world, are not obsessed with short forms that will save microseconds!
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Sure. There are other applications of arithmetic, but algebra without arithmetic is impossible. A broad knowledge of arithmetic is essential for mastery of algebra.
'The Devil's Arithmetic' was written by Jane Yolen .
there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics. there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics.
Arithmetic is another word for math or mathematics.
Yes, there is. It is called The Devil's Arithmetic.