Convert the following into Roman numerals:
a) 14
b) 78
c) 54
d) 129
e) 45
f) 282
g) 313
h) 28
i) 167
j) 99
k) 27
l) 850
Answer (2)
The Roman numeral conversions for the given numbers are as follows: 14 = XIV, 78 = LXXVIII, 54 = LIV, 129 = CXXIX, 45 = XLV, 282 = CCLXXXII, 313 = CCCXIII, 28 = XXVIII, 167 = CLXVII, 99 = XCIX, 27 = XXVII, and 850 = DCCCL. Understanding how to break down each number into its Roman numeral components is key to conversion. This numeral system emphasizes additive and subtractive principles for values based on combinations of letters.
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To convert numbers from the standard numeral system to Roman numerals, we use a combination of letters from the Latin alphabet (I, V, X, L, C, D, M):
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
Here's how you convert each number given to Roman numerals:
14
Breakdown: 10 + 4
Roman numeral: X I V
78
Breakdown: 50 + 20 + 8
Roman numeral: L XX V III
54
Breakdown: 50 + 4
Roman numeral: L I V
129
Breakdown: 100 + 20 + 9
Roman numeral: CXX I X
45
Breakdown: 40 + 5
Roman numeral: X L V
282
Breakdown: 200 + 80 + 2
Roman numeral: CC L XXX II
313
Breakdown: 300 + 10 + 3
Roman numeral: CCCX III
28
Breakdown: 20 + 8
Roman numeral: XX V III
167
Breakdown: 100 + 60 + 7
Roman numeral: C L X V II
99
* Breakdown: 90 + 9
* Roman numeral: [tex]XCIX[/tex]
27
* Breakdown: 20 + 7
* Roman numeral: [tex]XXVII[/tex]
850
* Breakdown: 500 + 300 + 50
* Roman numeral: [tex]DCCCL[/tex]
When converting to Roman numerals, it's essential to remember that smaller numbers before larger ones indicate subtraction. For example, IV is 4 (5 - 1), while VI is 6 (5 + 1). This approach helps us systematically convert numbers to Roman numerals.
