International Place Value Chart – Solved Examples, Facts, FAQs

What Is the International Place Value Chart?

The international place value chart in math is a table that uses the international number system to determine the value of each digit in a number based on its position. 

The value of each digit in a number based on its position is called the place value. Place value refers to how much a digit is worth in relation to its position in a number. 

The place value chart helps align every digit with its respective position in a number and makes it easier to find the place values. It is extremely helpful when reading, writing, and making sense of large numbers. Using a comma and a division, we separate the figures into groups to reduce confusion when reading extremely large figures.

Periods in the International Place Value Chart

In the International place value system, we have three periods: ones, thousands, and millions, for the nine places from right to left. Each period contains three places.

• Ones period: This is the first period consisting of three places: ones, tens, and hundreds.
• Thousands period: This is the second period, which consists of three places: thousands, ten thousands, and hundred thousands.
• Millions period: This is the last period, which consists of three places: millions, ten millions, and hundred millions.

Reading and Writing Large Numbers Using the International Place Value Chart

To write large numbers using the international place value system, we separate periods using commas. So, we add commas after every three digits counting from the ones digit. Similarly, when reading large numbers, we identify the periods using the commas.

Example: The number 12345678 is written as 12,345,678 as per the International place value system.

We can read 12,345,678 as:

Twelve million, three hundred forty-five thousand, six hundred and seventy-eight.

Finding Place Values Using the International Place Value Chart

Let’s understand how the place value chart helps us find the place values of digits.

Consider an example. We have written the number 125,604,779 in the international place value chart. Each digit is aligned with its corresponding position in the chart. The place values of digits are written right below the digit.

We can write the expanded form as

125,604,779 = 100,000,000 + 20,000,000 + 5,000,000 + 600,000 + 0 + 4,000 + 700 + 70 + 9

Difference between Indian and International Place Value Chart

Indian Place Value Chart	International Place Value Chart
There are 4 periods: ones, thousands, lakhs, and crores.	There are three periods: ones, thousands, and millions.
The period “lakhs” comes after “thousands.”	The period “millions” comes after “thousands.”
It follows the 3 : 2 : 2 system of placing commas.	It follows the 3 : 3 : 3 system of placing commas.
The first comma is placed after hundreds digit (three digits from the right). The next commas are placed after every two digits.	The commas are placed after every three digits counting from the digit to the far right.
The nine places are: ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, and ten crores.	Nine places are:ones, tens, hundreds, thousands, ten thousands, millions, ten millions, and hundred millions.
The Indian place value system is followed in India, Bangladesh, and Pakistan.	International place value system is used worldwide. It is most commonly used in many countries across the world.

Observe and compare the Indian and International place value charts to understand the differences better! 

The number 3229517 is arranged in both the system charts so you can understand the place value of every digit in both the systems. 

We can read it as

• Indian place value chart: Thirty-two lakh, twenty-nine thousands, five-hundred and seventeen.
• International place value chart: Three million, two-hundred twenty nine thousand, five-hundred seventeen.

Indian place value chart with example:

International place value chart with example:

Facts about International Place Value Chart

Conclusion

In this article, we have learned about the international place value system and chart. We also saw the difference between the Indian place value system and International place value system. Both the place value charts are important depending on their usage. Now let’s grasp more of this concept with examples and practice problems.

Solved Examples on International Place Value Chart

1. Write the place value of 4 and 7 in 73,455.

Solution: 

Thousands			Ones
(HTh)	(TTh)	(Th)	(H)	(T)	(O)
	7	3	4	5	5

The digit 4 is in the hundreds place. So its place value is 400.

The digit 7 is at the ten thousand’s place. So its place value is 70,000.

2. Write the following numbers in the international place value chart:

(i) 6432156                

(ii) 87201593

Solution:

Millions			Thousands			Ones
Hundred Millions   (HM)	Ten    Millions      (TM)	Millions (M)	HundredThousands(HTh)	TenThousands(TTh)	Thousands (Th)	Hundreds  (H)	Tens(T)	Ones (O)
		6	4	3	2	1	5	6
	8	7	2	0	1	5	9	3

3. Read and write the following numbers as per the international system.

(a) 74028952            

(b) 1835762

Solution:

(a) 74028952

Millions			Thousands			Ones
(HM)	(TM)	(M)	(HTh)	(TTh)	(Th)	(H)	(T)	(O)
7	4	0	0	2	8	9	5	2

We write 74028952 as 74,028,952 and read it as “Seven-hundred forty million, twenty thousand, nine-hundred fifty two.”

(b) 1835762

Millions			Thousands			Ones
(HM)	(TM)	(M)	(HTh)	(TTh)	(Th)	(H)	(T)	(O)
		1	8	3	5	7	6	2

We write1835762 as 1,835,762 and read it as “one million, eight hundred thirty-five thousand, 

seven hundred sixty-two.”

Practice Problems on International Place Value Chart

Frequently Asked Questions about the International Place Value Chart