QQuestionMathematics
QuestionMathematics
# Question 9
Consider the Roman numerals $X C$ and $C X$.
Do these have the same value?
If yes, what is the value and why?
If no, what is the value of each, and why are they different?
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12pt - Paragraph - 目 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Understand Roman Numeral Values
- $$C$$ represents 100
In Roman numerals:
Step 3:: Analyze XC
- $$XC = 100 - 10 = 90
- When a smaller value precedes a larger value, it means subtraction
Step 4:: Analyze CX
- $$CX = 100 + 10 = 110
- When a larger value precedes a smaller value, it means addition
Step 5:: Compare the Values
- $$XC = 90
- CX = 110 - These are NOT the same value
Final Answer
The order of Roman numerals matters because it determines whether values are added or subtracted.
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