# An aid in reading and writing large numbers

Complete above steps to enable this content

**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 |

Complete above steps to enable this content

**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 × + × 10000 + 4 × + × 100 + × 10 + x 1**

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 × + × 100000 + 7 × + × 1000 + 8 × + × 10 + x 1**

Complete above steps to enable this content

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.

Complete above steps to enable this content

## 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(**,**).

Complete above steps to enable this content

**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 ?

Complete above steps to enable this content

**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.

Complete above steps to enable this content

**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?**

Complete above steps to enable this content

**(c) Arrange these numbers in ascending order**

**and descending orders.**

Complete above steps to enable this content

**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.**

Complete above steps to enable this content

**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)**

Complete above steps to enable this content

**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**

Complete above steps to enable this content

**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.**

Complete above steps to enable this content

**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.**