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Because of gradual changes over the past centuries the way we write out Roman numerals today to represent a quantity is different to the way that the Romans actually did themselves.

But there is evidence to suggest that the Romans would have probably wrote out the above numerals in a simplified form of SXC, SXXC, IXX and IXV because:-

SXC is a simplification of LXXXVIIIIS (-10.5+100 = 89.5)

SXXC is a simplification of LXXVIIIIS (-20.5+100 = 79.5)

IXX is a simplification of XVIIII (-1+20 = 19)

IXV is a simplification of XIIII (-1+15 = 14)

Simplification is obtained by placing equal values to both sides of the numerals but in opposite directions. They then would have probably added them up in the following manner:-

SXC+SXXC = ICLXX (169)

ICLXX+IXX = IIXCC (188)

IIXCC+IXV = CCII (202)

In his reference book about ancient numeracy systems entitled "History of Mathematics" volume 2 by David Eugene Smith first published in 1925 and ISBN 0486 204 308 examples are given that the Romans would sometimes simplify their numeracy system in the above manner. Presumably this was done in order to use less numerals for a given value.

Roman numerals: M=1000, D=500, C=100, L=50, X=10, V=5, I=1 and S=1/2

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Q: How would you tot up 89.5 79.5 19 and 14 in Roman numerals giving step by step instructions and clear reasons for your answer?
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