Introducing 10,000
99 is the greatest 2-digit number.999 is the greatest 3-digit number
9,999 is the greatest 4-digit number
10,000 is the smallest 5 - digit number and successor or greatest 4 digit number 9,999.
Let’s discuss the place value of digits in the number and how a number can be written in that form
Indian system of numeration
Indian System of Numeration
Values
of the places in the Indian system of numeration are Ones, Tens,
Hundreds, Thousands, Ten thousands, Lakhs, Ten Lakhs, Crores and so on.
The following place value chart can be used to identify the digit in any place in the Indian system.
| Periods | Crores | lakhs | Thousands | Ones | |||||
| Places | Tens | Ones | Tens | Ones | Tens | Ones | Hundreds | Tens | Ones |
Example:
5,46,851 = 5 × 1,00,000 + 4 × 10,000 + 6 × 1,000 + 8 × 100 + 5 × 10 +1 × 1
This
number has 1 at one’s place, 5 at tens place, 8 at hundreds place, 6 at
thousands place, 4 at ten thousands place and 1 at lakh place.
Number Name are also written based on the place value name.
So,Its number name is Five lakh forty-six thousand eight hundred fifty-one
We can use below table format for easily reading and writing the Number
| Number | Tens Lakh |
Ones Lakh |
Tens thousand |
Ones thousand |
Hundreds | tens | Ones | Number Name |
| 5,46,851 | 5 | 4 | 6 | 8 | 5 | 1 | Five lakh forty-six thousand eight hundred fifty one |
|
| 32,75,829 |
3 | 2 | 7 | 5 | 8 | 2 | 9 | Thirty two lakh Seventy-five thousand eight hundred twenty nine |
Use of Commas in Indian System of Numeration
- Commas added to numbers help us read and write large numbers easily.
- As per Indian Numeration, Commas are used to mark thousands, lakhs and crores.
- The first comma comes after hundreds place (three digits from the right) and marks thousands.
- The second comma comes two digits later (five digits from the right). It comes after ten thousand place and marks lakh.
- The third comma comes after another two-digits (seven digits from the right). It comes after ten lakh place and marks crore
- We do not use commas while writing number names
- 41, 08, 01, 992
- 62, 32, 40, 581
- 83, 17, 05, 062
International System of Numeration
- Values of the places in the International system of numeration are Ones, Tens, Hundreds, Thousands, Ten thousands, Hundred thousands, Millions, Ten millions and so on.
- If we have to express the numbers larger than a million then we use a billion in the International System of Numeration:
1 billion = 1000 millions
Following place value chart can be used to identify the digit in any place in the International system.
| Periods | Billions | Millions | Thousands | Ones | ||||||||
| Places | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
Use of Commas in International System of Numeration
- As per International Numeration, Commas are used to mark thousands and millions.
- It comes after every three digits from the right.
- The first comma marks thousands and the next comma marks millions.