Topic Details (Notes format)

How to Convert Roman Numerals to Arabic Numerals

Subject: Mathematics

Book: Maths Mastery

Roman numerals, often seen in old clocks or historical documents, use letters like I, V, X, L, C, D, M to represent numeric values. For example, IX means 9 (10 – 1), and XVI means 16 (10 + 5 + 1). Generally, if a smaller numeral precedes a larger one, you subtract; otherwise, you add. So MCMLXXXIV is 1984. By learning these rules—like I=1, V=5, X=10, L=50, C=100, D=500, M=1000—you can decode centuries-old texts, interpret monument inscriptions, or even style modern events. Converting Roman numerals fosters a deeper appreciation of number systems and historical contexts.

Practice Questions

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If the sum of three consecutive integers is 72, what are the integers?

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If the radius of a circle is 7 cm, what is its circumference?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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