Hierarchy of Decimal Numbers
Number
|
Name
|
How many
|
| 0 | zero | |
| 1 | one |  |
| 2 | two | |
| 3 | three | |
| 4 | four | |
| 5 | five | |
| 6 | six | |
| 7 | seven | |
| 8 | eight | |
| 9 | nine | |
| 10 | ten | |
| 20 | twenty | two tens |
| 30 | thirty | three tens |
| 40 | forty | four tens |
| 50 | fifty | five tens |
| 60 | sixty | six tens |
| 70 | seventy | seven tens |
| 80 | eighty | eight tens |
| 90 | ninety | nine tens |
| Number | Name | How Many |
| 100 | one hundred | ten tens |
| 1,000 | one thousand | ten hundreds |
| 10,000 | ten thousand | ten thousands |
| 100,000 | one hundred thousand | one hundred thousands |
| 1,000,000 | one million | one thousand thousands |
Some people use a comma to mark every 3 digits. It just keeps track of the digits and makes the numbers easier to read.
Beyond a million, the names of the numbers differ depending where you live. The places are grouped by thousands in America and France, by the millions in Great Britain and Germany.
| Name | American-French | English-German |
| million | 1,000,000 | 1,000,000 |
| billion | 1,000,000,000 (a thousand millions) | 1,000,000,000,000 (a million millions) |
| trillion | 1 with 12 zeros | 1 with 18 zeros |
| quadrillion | 1 with 15 zeros | 1 with 24 zeros |
| quintillion | 1 with 18 zeros | 1 with 30 zeros |
| sextillion | 1 with 21 zeros | 1 with 36 zeros |
| septillion | 1 with 24 zeros | 1 with 42 zeros |
| octillion | 1 with 27 zeros | 1 with 48 zeros |
| googol |
1 with 100 zeros
| |
| googolplex |
1 with a googol of zeros
| |
FractionsDigits to the right of the decimal point represent the fractional part of the decimal number. Each place value has a value that is one tenth the value to the immediate left of it.
| Number | Name | Fraction |
| .1 | tenth | 1/10 |
| .01 | hundredth | 1/100 |
| .001 | thousandth | 1/1000 |
| .0001 | ten thousandth | 1/10000 |
| .00001 | hundred thousandth | 1/100000 |
Examples:
0.234 = 234/1000 (said - point 2 3 4, or 234 thousandths, or two hundred thirty four thousandths)
4.83 = 4 83/100 (said - 4 point 8 3, or 4 and 83 hundredths)
|
|
| I=1 | (I with a bar is not used) | |
| V=5 | _ V=5,000 | |
| X=10 | _ X=10,000 | |
| L=50 | _ L=50,000 | |
| C=100 | _ C = 100 000 | |
| D=500 | _ D=500,000 | |
| M=1,000 | _ M=1,000,000 |
1 = I 2 = II 3 = III 4 = IV 5 = V 6 = VI 7 = VII 8 = VIII 9 = IX 10 = X | 11 = XI 12 = XII 13 = XIII 14 = XIV 15 = XV 16 = XVI 17 = XVII 18 = XVIII 19 = XIX 20 = XX 21 = XXI | 25 = XXV 30 = XXX 40 = XL 49 = XLIX 50 = L 51 = LI 60 = LX 70 = LXX 80 = LXXX 90 = XC 99 = XCIX |
There is no zero in the roman numeral system.
The numbers are built starting from the largest number on the left, and adding smaller numbers to the right. All the numerals are then added together.
The exception is the subtracted numerals, if a numeral is before a larger numeral, you subtract the first numeral from the second. That is, IX is 10 - 1= 9.
This only works for one small numeral before one larger numeral - for example, IIX is not 8, it is not a recognized roman numeral.
There is no place value in this system - the number III is 3, not 111.
Number Base Systems
Decimal(10)
|
Binary(2)
|
Ternary(3)
|
Octal(8)
|
Hexadecimal(16)
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
1
|
1
|
2
|
10
|
2
|
2
|
2
|
3
|
11
|
10
|
3
|
3
|
4
|
100
|
11
|
4
|
4
|
5
|
101
|
12
|
5
|
5
|
6
|
110
|
20
|
6
|
6
|
7
|
111
|
21
|
7
|
7
|
8
|
1000
|
22
|
10
|
8
|
9
|
1001
|
100
|
11
|
9
|
10
|
1010
|
101
|
12
|
A
|
11
|
1011
|
102
|
13
|
B
|
12
|
1100
|
110
|
14
|
C
|
13
|
1101
|
111
|
15
|
D
|
14
|
1110
|
112
|
16
|
E
|
15
|
1111
|
120
|
17
|
F
|
16
|
10000
|
121
|
20
|
10
|
17
|
10001
|
122
|
21
|
11
|
18
|
10010
|
200
|
22
|
12
|
19
|
10011
|
201
|
23
|
13
|
20
|
10100
|
202
|
24
|
14
|
Each digit can only count up to the value of one less than the base. In hexadecimal, the letters A - F are used to represent the digits 10 - 15, so they would only use one character.
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