Arabic numerals refer to the idea of position being important. 313 is three hundreds, 1 ten, and 3 ones. It’s much simpler to do math with Arabic numerals than roman numerals where the equivalent is CCCXIII.
0123456789 are the latin/western characters used to write those numbers. There are other characters used in other writing styles, ٠١٢٣٤٥٦٧٨٩ for example in Arabic.
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