1
Question
CLIII + CXC = ____
(This question can have more than one correct answer.)
CLIII + CXC = ____
(This question can have more than one correct answer.)
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Solution
The correct options are
B CCCXLIII
C 343
We first convert the given Roman numerals to Hindu-Arabic numerals.
CLIII = 100 + 50 + 1 + 1 + 1 = 153
CXC = 100 + 100 - 10 = 190
(If a Roman numeral of smaller value is placed before one with larger one, we subtract instead of adding.)
Thus, CLIII + CXC = 153 + 190 = 343.
But, 343 = 100 + 100 + 100 + 50 - 10 + 1 + 1 + 1 = CCCXLIII.
Thus, CLIII + CXC = 343 = CCCXLIII.
B CCCXLIII
C 343
We first convert the given Roman numerals to Hindu-Arabic numerals.
CLIII = 100 + 50 + 1 + 1 + 1 = 153
CXC = 100 + 100 - 10 = 190
(If a Roman numeral of smaller value is placed before one with larger one, we subtract instead of adding.)
Thus, CLIII + CXC = 153 + 190 = 343.
But, 343 = 100 + 100 + 100 + 50 - 10 + 1 + 1 + 1 = CCCXLIII.
Thus, CLIII + CXC = 343 = CCCXLIII.
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