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Easy methods to learn and write roman numerals?
Lots of of yr in the past, the Romans had a system of numbers which had solely
seven symbols. Every image had a unique worth and there was no image
for 0.
The image of Roman Numerals and their values are:
Romans used completely different combos of symbols to write down numbers utilizing including and subtraction.
For studying and writing numbers upto 50 we want solely the primary 4 symbols.
I V X L
The numerals used within the current quantity system (decimal system) are
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
These numerals had been invented by Indians and later by means of the Arabs reached Europe. Therefore this quantity system is termed as Hindu-Arabic Quantity System.
Early Romans developed a system of numerals. They’re known as Roman numerals. These are additionally generally utilized in day-to-day life.
Generally the items of a e book, completely different volumes of a e book, class rooms in a faculty, the elements of a query, and many others., are numbered in Roman numerals. On the dials of some clocks the hours are marked in Roman numerals.
Roman numerals are shaped through the use of 7 symbols –
I, V, X, L, C, D, M.
The next desk exhibits the Roman numerals and their corresponding values.
Worth of the image in Hindu-Arabic numbers.
This isn’t a spot worth system.
The numbers 2, 3, 4, 6, 7, 8 and 9 don’t have symbols in
Roman System.
They’re bought by the strategy of addition or subtraction.
Guidelines for the First 5 Symbols:
1: Multiplication Rule:
When a logo is repeated in succession, we multiply the worth of the numeral by the variety of instances it’s repeated.
An emblem can’t be repeated greater than 3 times in succession.
i.e., The image I, X, C and M might be repeated in succession as much as
3 instances solely in writing a quantity.
For instance:
II = 1 × 2 = 2
III = 1 × 3 = 3 or, III = 1 + 1 + 1 = 3
XX = 10 × 2 = 20
XXX = 10 × 3 = 30 or, XXX = 10 + 10 + 10 = 30
CCC = 100 × 3 = 300 or, CCC = 100 + 100 + 100 = 300
We can not write 40 as XXXX.
The image can’t be repeated greater than 3 times.
2. Addition Rule:
Writing a smaller quantity to the precise of a bigger quantity means the numbers need to be added.
i.e., If a logo is written to the precise of a better quantity, we
add its worth to the worth of the image on the left.
For instance:
VI = 5 + 1 = 6
XI = 10 + 1 = 11
XII = 10 + 1 + 1 = 12
XV = 10 + 5 = 15
3. Subtraction Rule:
Writing a smaller quantity to the left of a bigger quantity signifies that the
smaller quantity must be subtracted from the bigger quantity. The image I
can be utilized for subtraction from V and X solely. The image X might be
subtracted solely from L and C.
i.e., If a logo is written to the left of a better quantity, we
subtract its worth from the worth of the image on the precise.
For instance:
IV = 5 – 1 = 4
IX = 10 – 1 = 9
XL = 50 – 10 = 40
The image V can’t be repeated or subtracted.
We don’t repeat V twice to get 10. We have already got a logo for 10. So VV for writing 10 isn’t right.
We don’t subtract 5 from any image. VX isn’t right.
4. The image V,L and D usually are not repeated to kind a much bigger
quantity.
5. Whereas writing Roman numbers first write the biggest numeral.
Then put smaller numerals to the precise (for addition) or left (for subtraction)
Word: The image V isn’t subtracted.
The next desk offers the Roman numerals corresponding
to the Hindu-Arabic numerals.
Hindu-Arabic Numbers |
Roman Numbers |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 34 39 40 45 50 55 59 60 75 80 88 90 95 100 |
I II III IV V VI VII VIII IX X XI XII XIII XIV XV XVI XVII XVIII XIX XX XXI XXII XXIII XXIV XXV XXVI XXVII XXVIII XXIX XXX XXXIV XXXIX XL XLV L LV LIX LX LXXV LXXX LXXXVIII XC XCV C |
A listing of Roman Numerals and their worth are given beneath:
Writing Numbers in Roman Numerals:
For instance:
1. Write the Roman Numerals for 27. Break up the quantity into Tens and Ones.
27 = 20 + 7
Write the image for 20 (XX) and place the image for 7 (VII) after it.
27 convert roman numerals as XXVII
2. Write the Roman numeral quantity for 43.
43 = 40 + 3
Image for 40 XL
Image for 3 III
Roman Numerals for 43 is XLIII.
3. Write 45 in Roman numeral.
We can not write 45 as VL, as a result of V isn’t subtracted.
Therefore 45 = (50 – 10) + 5
= (L – X) + V
= XLV
Word: V, L and D don’t precede any greater digit.
4. Write 39 in Roman numeral.
39 = 30 + 9
= (10 + 10 + 10) + (10 – 1)
= (X + X + X) + (X – I)
= XXXIX
Studying Roman Numerals:
Look out for a subtraction operation. Do the subtraction earlier than including the numbers.
For instance:
1. XXIV
I = 1
V = 5
IV = 4
XX = 20
IV = 4
Hindu –Arabic numeral for XXIV is 24.
2. XIX
X = 10
IX = 9
Hindu –Arabic quantity for XIX = 19
3. XXXII
On this instance no subtraction is required.
XXX = 30
II = 2
Hindu – Arabic quantity for XXXII = 32
4. Categorical XIV in
decimal system of numeration.
XIV = X – IV
= 10 + 4
= 14
5. Categorical XXXV in decimal system of numeration
XXXV = XXX + V
= X + X + X
+ V
= 10 + 10 +
10 + 5
= 35
Solved Examples on Roman Numerals:
1. Write the Hindu-Arabic numerals for the next:
(i) XXII
(ii) IX
(iii) XIV
(iv) XXXIX
Answer:
(i) XXII = 10 + 10 + 1 + 1 = 22
(ii) IX = 10 – 1 = 9
(iii) XIV = 10 + 5 – 1 = 14
(iv) XXXIX = 10 + 10 + 10 + 10 – 1 = 39
2. Write every of the next in a Roman numeral:
(i) 9
(ii) 14
(iii) 26
(iv) 31
(v) 37
Answer:
(i) 9 = IX
(ii) 14 = 10 + 4 = XIV
(iii) 26 = 10 + 10 + 5 + 1 = XXVI
(iv) 31 = 10 + 10 + 10 + 1 = XXXI
(v) 37 = 10 + 10 + 10 + 5 + 1 + 1 = XXXVII
Questions and Solutions on Roman Numerals:
I. Write the corresponding Roman numerals.
(i) 67
(ii) 58
(iii) 13
(iv) 16
(v) 29
(vi) 36
(vii) 5
(viii) 26
(ix) 81
(x) 77
Reply:
I. (i) LXVII
(ii) LVIII
(iii) XIII
(iv) XVI
(v) XXIX
(vi) XXXVI
(vii) V
(viii) XXVI
(ix) LXXXI
(x) LXXVII
II. Write the corresponding Hindu-Arabic numerals.
(i) XCIX
(ii) LVI
(iii) XXVI
(iv) XCVI
(v) LXXXIII
(vi) XXX
(vii) XCI
(viii) XXV
(ix) LXIX
(x) VI
Reply:
II. (i) 99
(ii) 56
(iii) 26
(iv) 96
(v) 83
(vi) 30
(vii) 91
(viii) 25
(ix) 69
(x) 6
III. Write whether or not the next are true or false.
(i) XVI = 14
(ii) IV = 6
(iii) IX = 9
(iv) XL = 60
(v) XC = 90
Reply:
III. (i) False
(ii) False
(iii) True
(iv) False
(v) True
IV. Fill within the right signal < or >.
(i) XXIX ………… XXXI
(ii) XLV ………… LXV
(iii) XCII ………… XC
(iv) LXX ………… XL
(v) XCI ………… LXXI
Reply:
IV. (i) <
(ii) <
(iii) >
(iv) >
(v) >
V. Which of the next are meaningless?
(i) VX
(ii) IXIV
(iii) XIX
(iv) XVI
(v) VVV
(vi) XV
(vii) LL
(viii) LC
(ix) XVIII
(x) VL
Reply:
V. (i) VX
(ii) IXIV
(iv) XVI
(v) VVV
(vii) LL
(viii) LC
(x) VL
VI: Clear up and write the solutions in Roman Numerals:
(i) 6 + 18 = _____
(ii) 36 – 6 = _____
(iii) XXI + XIII = _____
(iv) XXI – X = _____
(v) XXX – VII = _____
(vi) X + XI = _____
(vii) 50 – 25 = _____
(viii) 14 + 9 = _____
Reply:
VI: (i) XXIV
(ii) XXX
(iii) VIII
(iv) XI
(v) XXIII
(vi) XXI
(vii) XXV
(viii) XXIII
Associated Idea
● Guidelines for Formation of Roman-numerals
● Makes use of of Roman Numerals
From Roman Numerals to House web page
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