# Place Value System

definition of international place value system

what is international place value system .? what is the difference between indian place value system and international place value system

### Comments for Place Value System

 Apr 13, 2011 Place Value Number System by: Staff The question: definition of international place value system what is international place value system .? what is the difference between indian place value system and international place value system The answer: A place-value number system is an extremely efficient system of writing numbers when compared with other systems (far superior to Roman Numerals, for example). This is so because a place-value system uses the same digits over and over again. The same digits can be used to write extremely large numbers or extremely small numbers. In a place-value number system, the magnitude of the number depends upon two things: (1) the face value of the digit used, and (2) the POSITION of the digit in the number. The international system uses only ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. However, the International Place Value System can combine these ten digits to write the following (large) number: three million, four hundred and sixty nine thousand, and thirty three: 3, 469, 033 Notice that the position of each digit determines its value. That is how a place value system works. The face value of a digit is not the same as its place value. For example, reading from left to right, the 3 on the far left is represents three million because of its position with respect to the other digits (it is the seventh digit from the right). Its face value is just 3. Its PLACE determines its real value of three million. The same digit (of 3) on the far right only represents a value of 3. Each group of 3 digits is a period. Each group of 3 digits has a different name. Here is an example of a very large number: 123,456,789,987,654 The names of the periods are: 123 – Trillion 456 – Billion 789 – Million 987 – Thousand 654 – Ones In the United States the separator which divides one period from the other is the COMMA. Other countries often use different separators in place of the comma. Examples of other separators may include: a space between periods, a decimal point between periods, a dash between periods, a ^ between periods, an apostrophe between periods, etc. The Indian place-value number system is built upon the same idea, but employs a different comma system to separate the periods. The Indian system also groups the periods differently than the International Place Value System, and uses different names for each period. For example: This is a number written using the International Place-Value Number System: 123,456,789,987,654 This is the same number written using the Indian Place-Value Number System: 12,34,56,78,99,87,654 Except for the three digits on the extreme right, the Indian Place-Value System groups all other periods as two digits. Thanks for writing. Staff www.solving-math-problems.com