Place Value Chart
Place Value Charts for numbers help us to ensure proper alignment of digits according to their respective places. These charts provide a clear representation of where each digit should be positioned within a number. To identify the positional values of different digits in a number accurately, we write the individual digits in a number and then utilize a number place value chart to visually inspect their positions. In order to make the process, especially with larger numbers, we divide them into distinct periods separated by commas. Generally, there are two types of place value charts that are widely utilized for this purpose:
- Indian Place Value Chart
- International Place Value Chart
Indian Place Value Chart
The Indian Place Value system operates on a pattern known as 3:2:2. In this system, when dealing with larger numbers, we introduce a comma (,) after the first three digits from the right. Subsequently, commas are placed after every two digits. For example, if we consider the number 2369558, it would be written as 2,36,95,558, following this pattern. Place Value of 3 in the number 2,36,95,558 as 3 ten lakhs or 30,00,000. Then, we refer to a provided table to correctly denote the place values corresponding to each position.
Position of Digit |
Place Value |
Multiple of 10 |
---|---|---|
9th |
Ten Crores |
108 = 10,00,00,000 |
8th |
Crores |
107 = 1,00,00,000 |
7th |
Ten Lakhs |
106 = 10,00,000 |
6th |
Lakhs |
105 = 1,00,000 |
5th |
Ten Thousands |
104 = 10,000 |
4th |
Thousands |
103 = 1,000 |
3rd |
Hundreds |
102 =100 |
2nd |
Tens |
101 = 10 |
1st |
Ones |
100 = 1 |
International Place Value Chart
This globally accepted Place Value system follows a consistent approach. When dealing with numbers exceeding three digits, a comma (,) is inserted after every set of three consecutive digits, starting from the right. For example, in the case of the number 2369558, we would represent it as 2,369,558. To determine the respective place values, we refer to the provided chart for guidance. The Place Value of 3 in the number 23,695,558 is 3 millions or 3,000,000.
Position of Digit |
Place Value |
Multiple of 10 |
---|---|---|
9th |
Hundred Millions |
100,000,000 |
8th |
Ten Millions |
10,000,000 |
7th |
Millions |
1,000,000 |
6th |
Hundred Thousands |
100,000 |
5th |
Ten Thousands |
10,000 |
4th |
Thousands |
1,000 |
3rd |
Hundreds |
100 |
2nd |
Tens |
10 |
1st |
Ones |
1 |
Place Value in Mathematics
Place Value in mathematics refers to the value of a digit due to its position or location of a digit within a number, i.e., the place of any digit with respect to decimal. Every digit within a number holds a specific place. When we represent the number in standard notation, the placement of each digit is expanded. This arrangement starts from the rightmost position, known as the unit’s place or one’s position. The sequence of place values, moving from right to left, holds units, tens, hundreds, thousands, ten thousand, hundred thousand, and so forth.
In this article, we will discuss the concept of Place Value in Maths in detail including its definition, properties, formula, and important terminology of Place Value. Other than that, we will also discuss types of Place Value Chart, some solved problems, and provide practice questions for a better understanding of the concept of this article.
Table of Content
- Meaning of Place Value
- How to Find the Place Value?
- Properties of Place Value
- Place Value Chart with Decimals
- Place Value and Face Value
- Difference Between Place Value and Face Value
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