In mathematics, place value is the value assigned to all digits in a number depending upon the position of the digit in the number. The position of each digit of the number can also be indicated by its place value. The counting of positions starts from the rightmost digit (called ones) and then continues towards the left as tens, hundreds, thousands, etc. The place value chart is prepared considering the position of digits and listed the place values for them.
For example, the place value of each digit in the number 789 can be determined as following:
- Place values of 7 = 7 × 100 = 700 or 7 hundreds
- Place value of 8 = 8 × 10 = 80 or 8 tens
- Place value of 9 = 9 × 1 = 9 or 9 ones
The same digit might have different place values depending on the position of that digit. For example, the place value of 5 in 7548 is 5 hundred or 500. Again, the place value of 5 in 3251 is 5 tens or 50.
This chart is used when we need to find the value of a number in a number related to its position. The place value chart displays the positions and corresponding place values for a digit in a number and thus helps to determine the place values of different digits in a number accurately. This is a convenient way of putting the digits according to the place value chart and then writing the numbers in the standard form using the place values.
Two Types of Place Value Chart
Indian place value chart
It uses four groups of place values, separated by commas, starting from the rightmost digit. They are named as ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, and ten million.
International place value chart
It uses three groups of place values, separated by commas, starting from the rightmost digit. They are called ones, tens, hundreds, thousands, lakhs, ten lakhs, crores, and ten crores.
What is Number System?
A numeral system is a process for expressing numbers in mathematical digits or other symbols. The number system uses a group of characters to denote numerical quantities in a specific manner. In any number system, the value of a digit in a number depends on its position in that number and the base of the number system. The numbers system allows us to perform basic arithmetic calculations easily. You can learn more about this topic on cuemath.com.
Every number system has a base that denotes the number of digits or characters used in that system to represent a number. Depending on the base value, number systems can be categorized into four common types which are as follows:
Decimal Number System
The decimal number system uses ten digits from 0 to 9 to write any number. So, it has a base value of 10. The decimal number system is the most commonly used method to represent numbers in everyday life.
Binary Number System
The binary number system has a base value of 2 because it includes only two digits 0 and 1. The numbers in this system are represented as a combination of these two digits only. Digits 0 and 1 are called bits. This number system is used in computers for data handling.
Octal Number System
The octal number system uses eight digits (0 – 7) therefore having a base of 8. This system has lesser digits as compared to decimal systems. The octal number system is also used in computers.
Hexadecimal Number System
The hexadecimal number system uses a combination of sixteen digits and alphabets like 0 to 9 and A to F thereby having the base number as 16.