NUMBER :- An arithmetical value or symbol, used for representing a particular quantity and in counting, calculating is called a number. (Namely 0,1,2,3,4,5,6,7,8,9)
DIGITS :- To represent any number we use ten symbols (0,1,2,3,4,5,6,7,8,9). These symbols are called digits or figures.
NUMERAL :- A group of digits denoting a number is called a numeral.
For eg. 999 , 777 etc.
NOTATION :- Writing a number in digits or figures is called notation.
NUMERATION :- Writing a number in words is called numeration.
METHODS OF NUMERATION
A. Indian System used in India
B. International System used all over the world
PLACE VALUE CHART
A. Indian System
| Periods | Ten Crores | Crores | Ten Lacs | Lacs | Ten Thousands | Thousands | Hndreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|---|
| Places (in fig.) | 10,0000000 | 10000000 | 10,00000 | 100000 |
10,000
|
1000
|
100
|
10
|
1
|
1.
|
1
|
1
|
0
|
9
|
9
| ||||
2.
|
7
|
0
|
5
|
8
|
9
|
5
| |||
3.
|
1
|
0
|
5
|
7
|
2
|
0
|
5
| ||
4.
|
5
|
0
|
2
|
2
|
5
|
1
|
0
|
0
| |
5.
|
6
|
5
|
1
|
5
|
3
|
0
|
0
|
2
|
1
|
1. Eleven thousand ninety nine.
2. Seven lac five thousand eight hundred ninety five.
3. Ten lac fifty seven thousand two hundred five.
4. Five crore two lac twenty five thousand one hundred.
5. Sixty five crore fifteen lac thirty thousand twenty one.
This syatem is also called 'THE HINDU ARABIC SYSTEM' .
B. Interational System
| Periods | Billions | Hundred Millions | Ten Millions | Millions | Hundred Thousands | Ten Thousands | Thousands | Hndreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|---|---|
| Places (in fig.) | 100,000000 | 10,000000 | 1000000 |
100,000
|
10,000
|
1000
|
100
|
10
|
1
| |
1.
|
7
|
8
|
4
|
0
|
2
|
1
| ||||
2.
|
4
|
5
|
3
|
2
|
8
|
1
|
7
|
6
| ||
3.
|
5
|
2
|
7
|
0
|
3
|
5
|
2
|
8
|
8
|
The above numbers are written in words as....
1. Seven hundred eighty four thousand twenty one.
2. Forty five million three hundred twenty eight thousand one hundred seventy six.
3. Five hundred twenty seven million thirty five thousand two hundred eighty eight.
NOTE :- SUCCESSOR of any number is obtained by adding 1 to it.
For eg. successor of 9 is 10.
PREDECESSOR of any number is obtained by subtracting 1 from it.
For eg. predecessor of 1000 is 999.
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