## Roman Numerals

**Rule 1** **– Repetition of a Roman Numeral means addition.**

- Only letters I, X, C, M can be repeated.
- No letter can be repeated more than 3 times.
- Letter V, L, D are never repeated.

**Rule 2** **– When a smaller numeral is placed on the left of the larger numeral, it means Subtraction.**

- I can be subtracted from V and X only.
- X can be subtracted from L and C only.
- C can be subtracted from D and M only.

## Conversion of Hindu Arabic Numerals to Roman Numerals.

**Question 1**

Express 4 in Roman Numeral.

**Explanation**

Step I : Express the number in expanded form.

4 = 5 – 1

Step II : Convert Expanded form of number in Roman Numeral.

5 – 1 = (V) – (I) = IV

Hence, 4 would be represented as IV in Roman Numeral.

**Question 2**

Express 12 in Roman Numeral.

**Explanation **

Step I : Express the number in Expanded form.

12 = 10 + 1 + 1

Step II : Convert Expanded form of number in Roman Numeral.

10 + 1 + 1 = (X) + (I) + (I)= XII

Hence, 12 would be represented as XII in Roman Numeral.

**Question 3**

Express 48 in Roman Numeral.

**Explanation**

Step I : Express the number in Expanded form.

48 = 40 + 5 + 3

= (50 – 10) + 5 + 3

Step II : Convert Expanded form of number in Roman Numeral.

(50 – 10) + 5 + 3 = (L – X) + (V) + (III)= XLVIII

Hence, 48 would be represented as XLVIII in Roman Numeral.

**Question 4**

Express 95 in Roman Numeral.

**Explanation**

Step I : Express the number in Expanded form.

95 = 90 + 5

= (100 – 10) + 5

Step II : Convert Expanded form of number in Roman Numeral.

(100 – 10) + 5 = (C – X) + V = XCV

Hence, 95 would be represented as XCV in Roman Numeral.

## Conversion of Roman Numerals to Hindu Arabic Numerals.

**Question 1**

Express VI in Hindu Arabic Numeral.

**Explanation**

VI = V + I

= 5 + 1

= 6

Hence, Roman Numeral VI can be represented as 6 in Hindu Arabic Numeral.

**Question 2**

Express XVII in Hindu Arabic Numeral.

**Explanation**

XVII = X + V + I + I

= 10 + 5 + 1 + 1

= 17

Hence, Roman Numeral XVII can be represented as 17 in Hindu Arabic Numeral.

**Question 3**

Express XIV in Hindu Arabic Numeral.

**Explanation**

XIV = X + IV

= 10 + 4

= 14

Hence, Roman Numeral XIV can be represented as 14 in Hindu Arabic Numeral.

**Question 4**

Express XXVIII in Hindu Arabic Numeral.

**Explanation**

XXVIII = X + X + V + I + I + I

= 10 + 10 + 5 + 1 + 1 + 1

= 28

Hence, Roman Numeral XXVIII can be represented as 28 in Hindu Arabic Numeral.

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