Q10 REPRESENTATIONS

The seven basic symbols in a certain numeral system and their respective values are as follows:

I=1, V=5, X= 10, L=50, C=100, D = 500 and M = 1000

In general, the symbols in the numeral system are read from left to right, starting with the symbol representing the largest value; the same symbol cannot occur continuously more than three times; the value of the numeral is the sum of the values of the symbols. For example, XXVII = 10+10+5+1+1 =27. An exception to the left-to-right reading occurs when a symbol is followed immediately by a symbol of greater value; then the smaller value is subtracted from the larger. For example, XLVI = (50-10)+5+1=46.

The value of the numeral MDCCLXXXVII is

a. 1687

b. 1787

c. 1887

d. 1987

I=1, V = 5, X= 10, L = 50, C= 100, D = 500, and M = 1000

MDCCLXXXVII = 1000 + 500 + 100 + 100+ 50+ 10+ 10+ 10+5+1+1

= 1000 + 500 + 2(100) + 50 + 3(10)+10+5+2(1)

= 1000+500 + 200 + 50 +30 +10+5+2

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