Indian Place Value System

In mathematics, place value indicates the correct position or place of a digit in a number. We use place value charts to check if a number’s digits are in the right location. The Indian place value chart is used to figure out how much a digit in a number is worth based on its position in the Indian numeral system. The Indian Place Value Chart, to put it another way, is used to read and write numbers in the Indian numerical system.

What is the Indian Place Value Chart?

According to the Indian numeric system, it is assigned a number based on its location. The Indian place value chart is a table that shows how much each digit in a number is worth. Numbers are used in mathematics to count, measure, and compare. Based on where it sits on the place value table, each digit in a number has its own value. The place value of a digit in a number indicates how much it is worth in respect to its position. We divide the numbers into periods with the use of a comma as a separator to minimise confusion while reading particularly large numbers.

Take a look at the Indian place value chart below, which shows how to read and write numbers correctly according to their place values.

The graph above depicts the following observations concerning the Indian place-value system:

• There are four time periods for the nine locations: one, thousands, lakhs, and crores.
• All periods are separated by a comma when writing the number numerically.
• Starting on the right, the first period is ones, which has three place values: ones, tens, and hundreds.
• The second period is thousands, with two place values: thousands and ten thousand.
• The third period is lakhs, which consists of two place values: lakhs and 10 lakhs.
• The fourth period is crores, which has two place values: crores and ten crores.
• When reading a number, except for the ones period, all the digits in the same period are read simultaneously with the name of the period.

Indian Decimal Place Value Chart

After the decimal point, the place values are written and read in a different fashion. The place values following the decimal point are stated as tenths, hundredths, thousandths, and so on, whereas the place values before the decimal point are expressed as ones, tens, hundreds, thousands, and so on.

Differences between Indian Place value and International place value chart :

The following are the distinctions between the Indian and international place value charts:

1. In the Indian place value chart, nine places are divided into four periods: one, thousands, lakhs, and crores, but in the international place value chart, nine places are divided into three periods: ones, thousands, and millions.

2. Place Values in Indian place value chart: Ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, and ten crores; International Place Values: Ones, tens, hundreds, thousands, ten thousands, hundred thousands, million, ten million, and hundred million.

3. The 3:2:2 comma placement technique is used in the Indian place value system. To put it another way, the first comma comes after three numbers on the right, and the subsequent commas come after every two digits. For example, in the Indian place value system, the commas in the lowest ten-digit number 1,00,00,00,000 are placed 3:2:2, but in the International place value system, the commas are placed 3:3:3. This indicates that the numbers in all the periods are separated by a comma after every three digits, starting from the right end. Consider the commas in the smallest ten-digit figure in the International place value system, 1,000,000,000.

Note:

According to the Indian and international place value systems, the following numerals are read by distinct names.

• In the Indian place value system, one lakh is equal to one hundred thousand in the international system. 

• In the Indian place value system, ten lakh equals one million in the international system. 

• In the Indian place value system, one crore equals 10 million in the international system. (1,00,00,000 = ten million)

• In the Indian place value system, ten crore is equal to one hundred million in the international system. 

• In the Indian place value system, one arab (hundred crore) equals one billion in the international place value system. 

Example:

For instance, consider the number 3129:

1. 3 is in the tens of thousands.

2. The number 1 is in the hundreds position.

3. The tens position is held by the number 3.

4. 9 is in the position of ones.

Conclusion

The Indian place value chart is a very important part of the Indian numbering system. We must know how to write numbers in this format.