What Is the International Place Value Chart with Periods Place Values and Solved Examples
In mathematics, you read any number by grouping them in the threes in a big number, and you all learn this system in the place value map. So, in the place value map, the integers are grouped in the threes in a big number, and the number is read from left to right as billion, million, or thousands. You’ll learn further about the place value map below.
Can you read the number 12345?
Numbers
Is it one, two, three, four, and five...NO
Now read this 12,345. Is it twelve thousand three hundred and forty-five? YES!
Place Value Chart
A place value chart is a table used to determine the value of each digit in a number on its numerical position. For example, in the number 92,735, the place value of:
5 is Ones
3 is Tens
7 is Hundreds
2 is Thousands
9 is ten thousand.
The diagram below illustrates the above example in more detail.
Place Value of the Number
In a number, the same digit might have several values depending on its position. For illustration, 4 in 524 denotes the one place, whereas it denotes the knockouts place in 948.
A universal map is used to ensure that the integers of a number are aligned rightly according to their positional values. To make the process easier, larger figures are broken into smaller groups, separated by commas, similar to ones, tens, hundreds, and so on.
Indian Place Value Chart
The Indian place value chart or map is a table that uses the Indian numeric system to determine the value of each digit in a number based on its position. Figures are employed in mathematics for counting, measures, and comparisons. Each digit in a number has its value grounded on where it falls on the place value map. A number's place value indicates how much a digit is worth in relation to its position. We divide the figures into groups with the help of a comma and a division to minimize confusion while reading particularly large figures.
Indian Place Value Chart
International Place Value Chart
For the nine places from right to left in the International place-value system, there are three periods: ones, thousands, and millions. Three place values make up one's period. Hundreds, tens, and thousands. The thousands after that are made up of one, ten, and hundred-thousands. The trend continues, and the next three spots all make millions. As a result, when writing a number in the international place-value system, we place commas after every three digits from the right.
To read the number, we read all the digits in the same period, then the period's name from left to right.
According to the international numeral system, the chart below aids us in determining and comparing the place value of digits in numbers up to millions.
International Place Value Chart
Solved Examples
Write the place value of 4 and 7 in 72,425.
Solution: The place value of 4 is in the hundreds place. So its place value is 400.
The place value of 7 is at the ten thousand’s place. So its place value is 70,000.
Write the place value of 5 and 3 in 57,324,208.
Solution: The place value of 5 is at ten million places. So its place value is 50,000,000
The place value of 3 is at the hundred thousand places. So its place value is 300,000.
Write the number 2319617 in the Indian place value chart and the International place value chart. Identify the numbers having the same place values in both charts.
Solution: Firstly, we will write the given number in both place value charts.
Place Value Chart
In the Indian place value chart, the number 2319617 is divided into three periods: ones, thousands, and lakhs, and in the International place value chart, it is ones, thousands, and millions.
Starting from the right, the numbers 7, 1, 6, 9, and 1 have the same place values, as seen in the place value charts.
What is the place value of 9 in 3921919 in international place value number systems?
Solution: Firstly, we will write the given number in the International place value chart.
International Place Value Chart of 3921919
As we start from the right, we get the place value of the first 9 is 9, the second 9 is 900 and the third 9 is 900,000.
Therefore, the place value of the first 9 is 9, the second 9 is 900 and the third 9 is 900,000.
Practice on your own:
1. What is the place value of 5 in 3521519 in international place value number systems?
Ans. Hundred Thousand and Hundred
2. What is the place value of 6 in 561549 in Indian place value number systems?
Ans. Ten thousand
Conclusion
In this article, a place value chart was introduced with an example of numbers. A place value chart is used to determine the value of each digit in a number. In mathematics, we have two types of place value charts one is an Indian place value chart, and another is an international place value chart. In the Indian place value chart, lakhs and crores are followed after thousand, but in international, millions and billions are used, respectively.
FAQs on International Place Value Chart Explained with Place Names and Periods
1. What is an International Place Value Chart?
An International Place Value Chart is a system used to represent numbers based on groups of three digits (thousands, millions, billions) from right to left. It helps in reading, writing, and understanding large numbers clearly. In this system:
- Ones period: Ones, Tens, Hundreds
- Thousands period: Thousands, Ten Thousands, Hundred Thousands
- Millions period: Millions, Ten Millions, Hundred Millions
- Billions period: Billions, Ten Billions, Hundred Billions
2. How do you read numbers using the International Place Value Chart?
To read numbers in the International Place Value System, separate digits into groups of three from right to left and read each period with its place name. Follow these steps:
- Step 1: Place commas after every three digits (e.g., 4,567,891).
- Step 2: Read from left to right.
- Step 3: Add place value names (million, thousand, etc.).
3. What is the difference between the Indian and International Place Value Chart?
The key difference between the Indian and International Place Value Chart is the grouping of digits. In the International system, digits are grouped in sets of three (e.g., 1,234,567), while in the Indian system, digits are grouped as 3-2-2 (e.g., 12,34,567). The International system uses terms like million and billion, whereas the Indian system uses lakh and crore.
4. What are the periods in the International Place Value Chart?
The periods in the International Place Value Chart are groups of three digits used to simplify large numbers. The main periods are:
- Ones period: Ones, Tens, Hundreds
- Thousands period: Thousands, Ten Thousands, Hundred Thousands
- Millions period: Millions, Ten Millions, Hundred Millions
- Billions period: Billions, Ten Billions, Hundred Billions
5. How do you write a number in the International Place Value system?
To write a number in the International Place Value system, place commas after every three digits from the right. Steps:
- Step 1: Start from the rightmost digit.
- Step 2: Count three digits and place a comma.
- Step 3: Continue the process moving left.
6. What is the place value of a digit in the International Place Value Chart?
The place value of a digit is the digit multiplied by its position value in the number. Formula:
- Place Value = Digit × Place
7. Can you give an example of a large number in the International Place Value Chart?
Yes, a large number example in the International Place Value Chart is 123,456,789. It is written and read as:
- 123,456,789
- One hundred twenty-three million four hundred fifty-six thousand seven hundred eighty-nine
8. Why is the International Place Value Chart important?
The International Place Value Chart is important because it helps in understanding, comparing, and performing operations on large numbers. It ensures:
- Correct reading and writing of numbers
- Easy comparison of values
- Accurate addition, subtraction, multiplication, and division
9. How do you compare numbers using the International Place Value Chart?
To compare numbers using the International Place Value Chart, compare digits starting from the highest place value. Steps:
- Step 1: Compare digits in the leftmost place.
- Step 2: If equal, move to the next place on the right.
- Step 3: The number with the larger digit at the first difference is greater.
10. What are common mistakes when using the International Place Value Chart?
Common mistakes in the International Place Value System include incorrect comma placement and confusion with the Indian system. Frequent errors are:
- Placing commas incorrectly (e.g., 12,34,567 instead of 1,234,567)
- Mixing lakh/crore with million/billion
- Misreading large numbers without grouping
