Indian Place Value Chart

The Indian place value chart reads the value of a digit in a number based on its position according to the Indian numeral system. In other words, we use the Indian Place Value Chart to read and write numbers as per the Indian number system. In Mathematics, place value displays the correct position or place of a digit in a number. In order to check if the digits of a number are placed correctly, we use the place value charts.

The Indian place value chart is a table that is used to find the value of each digit in a number based on its position, as per the Indian numeral system. In mathematics, numbers are used for counting, measurements, and comparisons. Every digit in a number has its own value depending on its position in the place value chart. The place value of a number shows how much a digit is worth based on its position. In order to avoid confusion while reading very large numbers, we arrange the numbers into periods with the help of a comma as the separator.

Observe the following Indian place value chart which is used to read and write numbers accurately according to their place values.

The chart given above shows us the following observations related to the Indian place value system.

• The nine places are grouped into four periods: Ones, Thousands, Lakhs, and Crores.
• All periods are separated by a comma while writing the number in its numeral form.
• Starting from the right, the first period is ones, consisting of three place values: ones, tens, and hundreds.
• The second period is thousands, consisting of two place values: thousands and ten thousands.
• The third period is lakhs, consisting of two place values: lakhs and ten lakhs.
• The fourth period is crores, consisting of two place values: crores and ten crores.
• While reading a number, all the digits in the same period are read together along with the name of the period, except the ones period.
• It is to be noted that the periods in the Indian place value system are divided according to the rule of 3:2:2. This means starting from the right, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits.

Let us understand the correct use of commas to write numbers according to the Indian place value system using the following example.

Example: Place the commas and rewrite the following number according to the Indian Place value chart: 43871965

Solution: As per the Indian place value chart, the commas in the given number will be placed as follows. 43871965 will be written as 4,38,71,965

Example: Write the given number in words as per the Indian place value system: 56321871

Solution: As per the Indian place value chart, 5,63,21,871 will be written as Five crore, sixty-three lakh, twenty-one thousand, eight hundred seventy-one.

Indian Place Value Chart after Crore

In the Indian place value chart, after ten crore (10,00,00,000), the next place value to its left is one Arab (hundred crores) which is represented as 1,00,00,00,000. This is followed by ten Arab (10,00,00,00,000), followed by kharab (1,00,00,00,00,000) and ten kharab (10,00,00,00,00,000).

The main difference between the Indian and the International numeration system is the placement of the separators (commas) and the nomenclature of different place values. The International numeral system is used worldwide in which we count in terms of ones, hundreds, thousands, ten thousands, hundred thousands, millions, and billions.

Let us observe this International place value chart, which will help us differentiate it from the Indian place value chart given above.

Let us understand the correct use of commas to write numbers according to the International place value system using the following example.

Example: Place the commas and rewrite the given number according to the International Place value chart: 43871965

Solution: As per the International place value chart, the commas in the given number will be placed as follows. 43871965 will be written as 43,871,965

The following table shows the differences between the Indian and International place value chart.

The place values after the decimal point are written and read in a different way as shown below. We can observe that the whole number part of a decimal number has place values marked as ones, tens, hundreds, and thousands, whereas, the place values after the decimal point are expressed as tenths, hundredths, thousandths, and so on.

Let us understand this by reading a decimal number following the decimal place value chart.

Example: Place the number 12.45 in a decimal place value chart and write its number name accordingly.

Solution:

Let us write the number in the decimal place value chart.

Here, the number 12.45 is read as twelve and forty-five hundredths. We can see that the whole number part is read normally as twelve, 'and' is used to represent the decimal point, followed by the place value of the fractional part. Another way to read the decimal is 'twelve point four five'. Observe that we do not read the fractional part as forty-five.

☛ Related Topics

• Numbers Up To 4-digits
• Numbers Up To 5-digits
• Numbers Up To 6-digits
• Numbers Up To 7-digits
• Numbers Up To 9-digits
• Numbers Up To 10-digits
• Place Value
• Indian Numeral System
• Number Systems
• Place Value Calculator

What is the Indian Place Value Chart?

The Indian place value chart is a table that is used to find the value of each digit in a number based on its position, as per the Indian numeral system. According to the Indian place value chart, the place values of digits are read in the following order: ones, tens, hundreds, thousands, ten thousand, lakh, ten lakh, crore, ten crores, and so on, based on the nomenclature of the different periods.

How to Make an Indian Place Value Chart?

To make an Indian place value chart for nine places, draw 4 columns showing the 4 periods: ones, thousands, lakhs, and crores. Under each period, draw sub-columns to show the different place values. Under the period of Ones, include ones, tens, and hundreds; then, under the period of thousands, include thousand and ten thousand; then, under the period of lakhs, place lakh and ten lakh; and finally, under the period of crores, place crore and ten crores.

How many Periods are there in the Indian Place Value Chart?

According to the Indian place value chart, nine places are grouped in four periods: ones, thousands, lakhs, and crores. Under the Ones period, there are 3 place values, ones, tens, hundreds. Under the thousands period, there are 2 place values, thousands and ten thousands. Under the lakhs period, there are 2 place values, lakh, and ten lakh. Under the Crores period, there are 2 periods, crore and ten crores.

What comes after 10 Crore in the Indian Place Value Chart?

In the Indian place value chart, after 10 crore (10,00,00,000) the next place value to its left is one Arab (1,00,00,00,000), also known as hundred crores. This is followed by ten Arab (10,00,00,00,000), followed by kharab (1,00,00,00,00,000) and ten kharab (10,00,00,00,00,000).

What do you Understand by Place Value?

The place value is the value of each digit in a number based on its position. We get to know the correct place values of digits with the help of place value charts. In the Indian place value chart, the place value of digits is determined as ones, tens, hundreds, thousands, ten-thousands, and so on. For example, the place value of 3 in 3002 is 3 × 1000 = 3000.

How to Make an International Place Value Chart?

To make an International Place Value Chart for nine places, draw 3 columns showing the 3 periods: ones, thousands, and millions. Under each period, draw sub-columns to show the different place values. Under the period of Ones, include ones, tens, and hundreds; then, under the period of thousands, include thousand, ten thousand, and hundred thousand; then, under the period of millions, write million, ten million, and hundred million.

How do you Write Numbers in Names According to the Indian Place Value Chart?

When numbers are expressed in the form of words, the representation is termed as its number name. According to the Indian place value chart, number names depend on the different place values of digits in the number. For example, the number name for 48,37,56,182 is forty-eight crore, thirty-seven lakh, fifty-six thousand, one hundred and eighty-two.

What is the difference between the Indian and International Place Value Charts?

The differences between the Indian and the International place value charts are given as follows:

• In the Indian place value chart, nine places are grouped into four periods: ones, thousands, lakhs, and crores. While, in the International place value chart nine places are grouped into three periods: ones, thousands, and millions.
• In the Indian place value chart, place values are marked as ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, crores, and ten crores. While, in the International place value chart, place values are marked as ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, and hundred million, and so on.

How to Represent Decimals in the Indian Place Value Chart?

The place value for decimals in the Indian place-value system is read in a different way. It gives the value of all the digits after the decimal point, based on its position. According to the Indian place value chart, the place values of digits after the decimal point are read as: tenths, hundredths, thousandths, and so on, based on the nomenclature of the different periods.

What is the Value of 1 Million in Indian Place Value Chart?

According to the International place value chart, 1 million is written as 1,000,000. This is written as 10,00,000 and read as ten lakh as per the Indian place value system.