Math, asked by snbais73, 9 months ago

roman number rules

Answers

Answered by Anonymous
1

Hey mate ❤

Here is ur answer

Rule 1.

 1: The roman digits I, X and C are repeated upto three times in succession to form the numbers.

(a) We know the value of I = 1, value of X is 10 and value of C is 100.

(b) The value of I, X and C are added as:

I = 1

II = 1 + 1 = 2

III = 1 + 1 + 1 = 3

X = 10

XX = 10 + 10 = 20

XXX = 10 + 10 +10 = 30

Rule 2.

When a digit of lower value is written to the right or after a digit of higher value, the values of all the digits are added. As:

VI = 5 + 1 = 6

VII = 5 + 1 + 1 = 7

VIII = 5 + 1 + 1 + 1 = 8

XI = 10 + 1 = 11

XII = 10 + 1 + 1 = 12

XV = 10 + 5 = 15

XVI = 10 + 5 + 1 = 16

LX = 50 + 10 = 60

LXV = 50 + 10 + 5 = 65

(b) Value of similar digits are also added as indicated inrule 1

III = 1 + 1 + 1 = 3

XXX = 10 + 10 + 10 = 30

XX = 10 + 10 = 20

Rule 3.

When a digit of lower value is written to the left or before a digit of higher value, then the value of the lower digit is subtracted from the value of the digit of higher value. As:

IV = 5 - 1 = 4

IX = 10 - 1 = 9

XL = 50 - 10 = 40

XIV = 10 + (5 - 1) = 14 

XIX = 10 + (10 - 1) = 19

XXIX = 10 + 10 + (10 - 1) = 29

XLV = (50 - 10) + 5 = 45

CLIX = 100 + 50 + (10 - 1) = 159

However, V is never written to the left of X.

Rule 4.

(a) If we have to write the numbers beyond 10 we should write the number 10 or groups of number 10 and then number 1 or 5 as the case may be. Then these numbers are used to change to the corresponding Roman numerals. As:

12 = 10 + 2 = 1 0 + 1 + 1 = XII

20 = 10 + 10 = XX

22 = 10 + 10 +1 + 1= XXII

26 = 10 + 10 + 5 + 1 = XXVI

39 = 10 + 10 + 10 + (10 - 1) = XXXIX

37 = 10 + 10 + 10 + 5 + 1 + 1 = XXXVII

(b) According to this pattern, numbers higher than number 40 are also formed:

43 = (50 - 10) + 1 +1 + 1= XLIII

56 = 50 + 5 + 1 = LVI1

59 = 100 + 50 + (10 - 1) = CLIX

1238 = 1000 + 100 + 100 + 10 + 10 + 10 + 5 + 1 + 1 + 1 = MCCXXXVIII

Rule 5.

a horizontal line is drawn over the symbols or digits of Roman numerals, then the value of the numerals becomes 1000 times. As:

XV = 15 but XV = 15000, 

CLV = 155 but CLV = 155000

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