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GATE 44 AT COLISEUYM IN ROME: lXLIV ORXLIIII? when and why the change?

We teach our childrens in school that 4 is written in roman numerals as IV not as IIII but at the coliseum in rome, the gate 44 is identified as XLIII not as XLIV. pleasew see the attached photo.

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my questions are: (I)when the change from iiii to IV took place and most important> (ii) WHY? any references are welcome!