**What is the Place Value Chart of an Indian and International System**

There are two systems of reading and writing numbers: The Indian system and The International system of numeration.

**1. Indian system of numeration**

In the **Indian system of numeration**, starting from the right, the first period is ones, consisting of three place values (ones, tens, and hundreds). The next period is **thousands**, consisting of two place values (thousands and ten thousands). The third period from the right is **lakhs**, consisting of two place values (lakhs and ten lakhs), and then **crores** and so on. This system of numeration is also known as the **Hindu-Arabic system of numeration**. We use commas’ for separating the periods, which help us in reading and writing large numbers. In the Indian system, the first comma comes after three digits from the right (i.e., after ones period) and the next comma comes after the next two digits {i.e., after thousands period) and then after every two digits and so on.

**Indian Place value chart**

** 2. International system of numeration**Let us consider an example:

In the Indian system of numeration,

92357385 =9,23,57,385

Similarly, 2930625 in the Indian system of numeration will be written as 29,30,625.

In the **International system of numeration**, starting from right, the first period is **ones**, consisting of three place values (ones, tens, and hundreds). The next period is **thousands**, consisting of three place values (one thousand, ten thousands, and hundred thousands) and then **millions** and after that **billions**.

**International Place value chart**

** Note:**In International system of numeration all the periods have three place values each.

Since each period has three place values, so to write a number with the help of comma(s), we have to put a comma after every three digits from the right. For example, 275068142 will be written in the International system as 275,068,142.

Similarly, 925371852 will be written as 925,371,852.

First three places from the right are same in both the Indian and the International systems of numeration.

**Example 1:** Rewrite the following numbers in the Indian and International systems using commas (,):

(a) 74028952 (b) 1835762

**Solution:**

(a) 74028952

**Indian system:** 7,40,28,952 International system: 74,028,952

(b) 1835762

**Indian system:** 18,35,762 International system: 1,835,762

**Example 2:** Rewrite the following numbers in the International place value chart:

(i) 6432156 (ii) 87201593

**Solution:**

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