In Roman numeration, a symbol is not repeated more than three times.
Step 1: What does “repeat a symbol” mean?
If we write the same Roman symbol next to itself, we are repeating it. For example, writing I three times gives III.
Step 2: Which symbols can repeat?
Only four symbols may be repeated: I, X, C, M.
Step 3: How many times can they repeat?
At most three times.
Examples (showing small steps):
\(I = 1\)
\(II = 2\)
\(III = 3\)
\(X = 10\)
\(XX = 20\)
\(XXX = 30\)
\(C = 100\)
\(CC = 200\)
\(CCC = 300\)
\(M = 1000\)
\(MM = 2000\)
\(MMM = 3000\)
Step 4: Which symbols do not repeat?
The symbols V, L, D are never repeated. So \(VV\), \(LL\), \(DD\) are not used.
Step 5: More than three repeats is not allowed.
\(IIII\) is wrong. We write \(IV = 4\).
\(XXXX\) is wrong. We write \(XL = 40\).
Conclusion:
A symbol is not repeated more than three times in Roman numeration. So the statement is true.