Solution - Roman numeral to integer

3, 499

3,499

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Step-by-step explanation

1. Parse Roman numeral to integer input

$M M M C D X C I X$

Parse and normalize the Roman numeral input, then validate its canonical form and range.

2. Expand Roman tokens into values

$M = 1000$

$C D = 400$

$X C = 90$

$I X = 9$

$M (1000) + M (1000) + M (1000) + C D (400) + X C (90) + I X (9) = 1000 + 1000 + 1000 + 400 + 90 + 9$

Scan the Roman numeral left-to-right, convert each token (single symbol or subtractive pair) into a numeric value, and prepare the additive expansion.

3. Conclude integer result

$1000 + 1000 + 1000 + 400 + 90 + 9 = 3499$

$M M M C D X C I X = 3499$

Add the expanded values to get the final integer and restate the canonical Roman-to-integer equality.

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Why learn this

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Roman numerals still appear in clocks, chapter headings, outlines, and events. Converting them quickly helps in everyday reading and interpretation.

Terms and topics

Roman numeral to integer