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91Ó°ÊÓ

If you are interpreting a Roman numeral, when do you add values and when do you subtract them? Give an example to illustrate each case.

Short Answer

Expert verified
Roman numerals are added together when a numeral is followed by one of the same or a smaller value, and subtracted when a numeral is followed by one of a bigger value. For example, XVIII equals to 18 (10+5+1+1+1) and IV equals 4 (5-1).

Step by step solution

01

Understanding Roman Numerals

Roman Numerals use seven letters: I, V, X, L, C, D and M. Each letter stands for a number: I for 1, V for 5, X for 10, L for 50, C for 100, D for 500, M for 1000. The value of a Roman numeral is the sum of the values of its components or letters, unless a smaller numeral appears before a larger one, in which case the smaller numeral is subtracted from the larger numeral.
02

When to Add or Subtract Values

There are two simple rules to follow: 1. If a numeral is followed by one of the same or a smaller value, the two numerals are added together. 2. If a numeral is followed by one of a bigger value, the smaller numeral is subtracted from the bigger numeral.
03

Providing Examples

Here are some examples: For Addition, take the Roman numeral XVIII. This is equivalent to 10 (X) + 5 (V) + 1 (I) + 1 (I) + 1 (I) = 18. For Subtraction, consider the Roman numeral IV. This is equivalent to 5 (V) - 1 (I) = 4.

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