Roman Numbers

Basic Math RulesRoman NumbersMath Tricks that will Blow your Mind15 math tricks for fast calculation

Types of Numbers

Natural and Whole Numbers
The counting numbers starts from 1, 2, 3, 4 are called Natural Numbers & Natural Numbers including zero are Whole Numbers.

Even Numbers upto 100
The Numbers which are divisible by 2 are Even numbers. If the last digit of a number is 0, 2, 4, 6 and 8, is an even number.
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100

Odd Numbers up to 100
The Numbers which are not exactly divisible by 2 are odd numbers. If the last digit of a number is 1, 3, 5, 7 and 9, is an odd number.
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99

Prime Numbers up to 100
A number which is divisible by itself and 1 is called prime number. These numbers are completely not divisible by any other number.
2,3,5,7,11,13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,89, 97

Composite Numbers up to 100
Except 1, all numbers which are not prime numbers are called composite numbers. A composite number is divisible by itself and at least by one prime number.
4,6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36,38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92,93, 94, 95, 96, 98, 99, 100


Roman Numbers

We use 10 numerals or digits to write any number. These numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The method of using these numerals began in India and was spread by Arabs. These numerals are called Hindu- Arabic numerals. The Roman used seven letters of the alphabets as basic symbols.

The symbols and their values in Hindu-Arabic systems are as follows:

I- 5
V- 5
X-10
L- 50
C- 100
D- 500
M- 1000

There is no 0 in Roman numerals. Moreover, the system does not use place values to write the numbers. The numbers are obtained by following a set of rules of addition and subtraction.

Rules for writing Roman Numerals

1. Repetttion of Roman numeral means adddition. But a Roman numeral can not be repeated more than 3 times. But V, L and D can not be repeated.
Examples: III=1+1+1=3
XXX=10+10+10=30

2. A smaller numeral written to the left of a numeral of greater value means subtraction.
Examples: IX= (10-1)= 9
IV= (5-1)= 4

3. A smaller numeral written to the right of a numeral of greater value means addition.
Examples: XI= 10+1= 11
VII= 5+1+1= 7
XIII= 10+1+1+1= 13

4. For writing numbers greater than 10, the numbers are first split in terms of tens and ones.
Examples: 17= 10+5+2= XVII
36= 10+10+10+5+1= XXXVI

5. I, X, C and M can be repeated in a row up to three times to forn larger numbers.
Examples: III= 1+1+1= 3
XXX= 10+10+10= 30
CCC= 100+100+100= 300
MMM= 1000+1000+1000= 3000

6. The smaller numeral between two greater numerals gets subtracted from the numeral on its right.
Examples: XIV= 10+(5-1)= 14
XXIX= 10+10+(10-1)= 29

Roman Numerals
1 - I 14 - XIV 90 - XC
2 - II 15 - XV 100 - C
3 - III 16 - XVI 200 - CC
4 - IV 17 - XVII 300 - CCC
5 - V 18 - XVIII 400 - CD
6 - VI 19 - XIX 500 - D
7 - VII 20 - XX 600 - DC
8 - VIII 30 - XXX 700 - DCC
9 - IX 40 - XL 800 - DCCC
10 - X 50 - L 900 - CM
11 - XI 60 - LX 1000 - M
12 - XII 70 - LXX 2000 - MM
13 - XIII 80 - LXXX 3000 - MMM

Note:
If a bar(-) is placed above the Roman numeral, its value increases by 1000 times.



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