Place Value: Meaning, Indian and International Place Value Charts & Solved Examples

Place Value in Mathematics refers to the position or placement of a digit in a number. Each digit has a distinct place in a number. When we display the number in general form, the place of each digit will be expanded. Those positions begin with a unit place, which is commonly referred to as ones position. The order of place value of digits in a number from right to left is represented by units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on. There might be two similar digits in a number but they have different values, which is decided by the position that the digit holds in the number.

Read Also: Operations on Rational Numbers

Key Terms: Place Value, Face Value, Expanded Form, Indian Place Value Chart, International Place Value Chart, Decimals, Numeric System, Fractions

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Meaning of Place Value

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The place value of a number is the value of each numerical digit. We may compute its place value by multiplying a number's digit value by its numerical value. The value of every digit in a given number differs based upon its position.

For example, in the number 48591, because 4 is in the ten thousand places, we multiply 4 (numerical value) by 10000 (digit value) to get 40000. We can find the place value of the other digits also by applying the same method.

Example: What will be the place value of each digit in the number 897?

The place value of each digit in the number 897 is as follows: 

• 8 × 100 = 800 or 8 hundreds
• 9 × 10 = 90 or 9 tens
• 7 × 1 = 7 or 7 ones

Read More: Face Value and Place Value

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Place Value Chart

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Place Value Chart helps us ensure that the numbers are accurately aligned. A place value chart indicates the correct position or positioning of a digit in a number. To precisely establish the positional values or worth of separate digits in a number, we first examine their location on the place value chart. To make the process easier, the larger numbers are divided into periods separated by commas. The two most common types of place value charts are as follows:

• Indian Place Value Chart
• International Place Value Chart

We might resort to the International or Indian place value chart depending on the number system used by both charts. The Indian place value chart is based on the Indian numeric system, whereas the international place value chart uses the Internationally Recognized Numeric System. The primary distinctions between the Indian and International numeric systems are the location of separators (commas) and the naming of separate place values.

Read More: Irrational Numbers

Indian Place Value Chart

The Indian place value chart is a tabular presentation that is used to find the value of each digit in a number based on its position, as per the Indian numeral system. As per the Indian place value chart, a 10-digit number is grouped into periods of ones, thousands, lakhs, crores, and so on. The numbers in this system are separated from each other by commas following the rule of 3:2:2. In simpler terms, it means starting from the right, the first comma is placed after 3 digits, then the next commas are placed after every 2 digits. For instance, look at the commas in the given number: 5,89,13,62,283

Observe the Indian place value chart given below which shows the place value of digits to ten crores.

Also Read: Remainder Theorem

International Place Value Chart

The International number system, in which we count in the order of ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, and so on, is used all throughout the globe. The numbers in this place value chart are divided into periods of one, thousands, millions, and so on, with a comma after every three digits starting on the right. Take a look at the commas in the following number: 135,912,332. Look at the International place value chart below, which shows the place value of numbers up to a hundred million.

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Comparing Indian and International Place Value System

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5-digit numerals are interpreted the same way in both systems. In this section, we will compare how to interpret numbers in the Indian and International systems.

Read More: Natural Numbers and Whole Numbers

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Place Value Charts With Decimals

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The decimal place value chart shows the place value of each digit in a decimal number. A decimal number system is used to express whole numbers and fractions at the same time by using a decimal point. This decimal point appears between the whole number and the fractional portions. 

While the entire number section follows the standard place value chart of ones, tens, hundreds, and so on, the numbers to the right of the decimal point differ somewhat in place value. When we move our pointer to the right after the decimal point, the place values start with tenths and progress through hundredths, thousandths, and so on. The first point to the right of the decimal is one-tenth (1/10th), followed by one-hundredth (1/100), and so on. Examine the decimal number place value chart below.

Check Important Difference Between Fraction and Rational Numbers

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Difference Between Place Value and Face Value

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Here are the key differences between place value and face value: 

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Expanded Form of Place Value

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To understand the difference between place value and face value, utilise the extended form of any number. The expanded form of 724 is 700 + 20 + 4.

By adding the place values of each digit, we may define a number in extended form. In the preceding instance, the place value of 7 is 700 (since it is in the hundreds place), the place value of 2 is 20 (because it is in the tens place), and the place value of 4 is 4 (because it is in the one's place). However, an eight has the face value of an eight, a six has the face value of a six, and a one has the face value of a one. The face value of the number 724 is 7, the face value of the number 2 is 2, and the face value of the number 4 is 4.

Read More: Even and Odd Numbers

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Things to Remember

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• Place Value refers to the position or placement of a digit in a number. 
• The value of a digit in a number differs based upon its position. The positions begin with the unit place, which is known as ones position. 
• The place value of digits in a number is ordered from right to left is represented by ones, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.
• There are two types of place value charts followed around the world which are the Indian Place Value Chart and the International Place Value Chart.
• The Indian place value chart works upon the Indian numeric system while the International place value chart is based on the internationally accepted numeric system.
• The major distinction between the Indian and International place value charts is the place of separators (commas) and the naming of different place values.

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