An aid in reading and writing large numbers
Try reading the following numbers :
(a) 279453
(b) 5035472
(c) 152700375
(d) 40350894
Was it difficult?
Sometimes it helps to use indicators to read and write large numbers. Shanu uses indicators which help her to read and write large numbers. Her indicators are also useful in writing the expansion of numbers. For example, she identifies the digits in ones place, tens place and hundreds place in 257 by writing them under the tables O, T and H as sometimes it helps to use indicators to read and write large numbers.
H | T | O | |||||||||||||||
2 | 5 | 7 | |||||||||||||||
7 | × | 1 | = | 7 | |||||||||||||
5 | × | 10 | = | 50 | |||||||||||||
2 | 100 | = | 200 | ||||||||||||||
| + | _________________ | ||||||||||||||||
2 × 100 + 5 × 10 + 7 × 1 | |||||||||||||||||
Th | H | T | O | ||||||||||||||
2 | 9 | 0 | 2 | ||||||||||||||
2 | × | 1 | = | 2 | |||||||||||||
0 | × | 10 | = | 0 | |||||||||||||
9 | × | 100 | = | 900 | |||||||||||||
2 | × | 1000 | = | 2000 | |||||||||||||
| + | _______________________ | ||||||||||||||||
2 × 1000 + 9 × 100 + 2 × 1 | |||||||||||||||||
One can extend this idea to numbers upto lakh as seen in the following table. (Let us call them placement boxes). Fill the entries in the blanks left
| Number | TLakh | Lakh | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|
| 7,34,543 | ------- | 7 | 3 | 4 | 5 | 4 | 3 |
Let us write the number name for 7,34,543-
Expanded form for 7,34,543:
=7 ×
| Number | TLakh | Lakh | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|
| 32,75,829 | 3 | 2 | 7 | 5 | 8 | 2 | 9 |
Let us write the number name for 32,75,829-
Expanded form for 32,75,829:
=3 ×
Similarly, we may include numbers upto crore as shown below :
| Number | TCr | Cr | TLakh | Lakh | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|---|---|
| 2,57,34,543 | - | 5 | 3 | 5 | 4 |
Let us write the number name for 2,57,34,543-
Two
| Number | TCr | Cr | TLakh | Lakh | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|---|---|
| 65,32,75,829 | 5 | 2 | 5 | 2 |
Let us write the number name for 65,32,75,829-
Sixty five
Now, let's look at the use of commas in writing the number names.
Use of commas
Commas help us in reading and writing large numbers. In our Indian System of Numeration we use ones, tens, hundreds, thousands and then lakhs and crores. 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 thousands 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.
For example
5, 08, 01, 592
3, 32, 40, 781
7, 27, 05, 062
Note:- While writing number names, we do not use commas(,).
International System of Numeration
In the International System of Numeration, as it is being used we have ones, tens, hundreds, thousands and then millions.
One million is a thousand thousands. 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.
For example, the number 50,801,592 is read in the International System as fifty million eight hundred one thousand five hundred ninety two.
TM | M | HTh | TTh | Th | H | T | O | |||||||||
5 | 0 | 8 | 0 | 1 | 5 | 9 | 2 | |||||||||
2 | × | 1 | ||||||||||||||
9 | × | 10 | ||||||||||||||
5 | × | 100 | ||||||||||||||
1 | × | 1000 | ||||||||||||||
0 | × | 10000 | ||||||||||||||
8 | × | 100000 | ||||||||||||||
0 | × | 1000000 | ||||||||||||||
5 | × | 10000000 | ||||||||||||||
| + | ____________________ | |||||||||||||||
5 × 10000000 + 8 × 100000 + 1 × 1000 + 5 × 100 + 9 × 10 + 2 × 1 | ||||||||||||||||
In the Indian System, it is five crore eight lakh one thousand five hundred ninety two.
Interesting fact :
To express numbers larger than a million, a billion is used in the International System of Numeration: 1 billion = 1000 million.
How many lakhs make a million ?
How many millions make a crore ?
Do you know?
India’s population increased by about
27 million during 1921-1931;
37 million during 1931-1941;
44 million during 1941-1951;
78 million during 1951-1961!
How much was the increase in population during 1991-2001? Try to find out.
Do you know what is India’s population today? Try to find this too.
1.Read these numbers. Write them using placement boxes and then write their expanded forms.
(i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094
NOTE: If any place value is not applicable enter a hiphen(-).
| Numbers | Tcr | Cr | TL | L | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|---|---|
| 475320 | |||||||||
| 9847215 | |||||||||
| 97645310 | |||||||||
| 30458094 |
Expanded form:
(i) 475320 =
=
(ii) 9847215 = 9000000+
=9x
(iii) 97645310 = 90000000+
=9x
(iv)30458094=
=3x
(a) Which is the smallest number among 4 numbers mentioned in question 1?
(b) Which is the greatest number among 4 numbers mentioned in question 1?
(c) Arrange these numbers in ascending order
and descending orders.
2. Read these numbers.
(i) 527864 (ii) 95432 (iii) 18950049 (iv) 70002509
(a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.
NOTE: If any place value is not applicable enter a hiphen(-).
Indian number system:
| Numbers | Tcr | Cr | TL | L | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|---|---|
| 527864 | |||||||||
| 95432 | |||||||||
| 18950049 | |||||||||
| 70002509 |
International number system:
| Numbers | HM | TM | M | HTh | TTh | Th | H | T | O |
|---|---|---|---|---|---|---|---|---|---|
| 527864 | |||||||||
| 95432 | |||||||||
| 18950049 | |||||||||
| 70002509 |
Place commas according to Indian or International number system.
| Numbers | Indian System | International System |
|---|---|---|
| 527864 | ||
| 95432 | ||
| 18950049 | ||
| 70002509 |
(b) Arrange these in ascending
and descending order.
Can you write the numeral?
(a) Forty two lakh seventy thousand eight.(hint:use commas)
(b) Two crore ninety lakh fifty five thousand eight hundred.(hint:use commas)
(c) Seven crore sixty thousand fifty five.(hint:use commas)
1. You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with ${limit} digits.
Original digits: 4,5,6,0,7,8
New Digits 0
2. Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.
Original digits: 4,5,6,7,8,9
New Digits 0
Repeat any 2 digits once or one digit twice with the Original digits.
3. From the digits 3, 0, and 4, make five numbers each with 6 digits.
Original digits: 3,0,4
New Digits 0
Repeat all 3 digits once or any 1 digit once and one of the remaining digits twice or any one digit thrice with the Original digits.