International System of Numeration

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System of Numeration

The system of numeration is based on the concept of place value, where the value of a digit depends on its position within a number. This concept of place value allows us to accurately represent and manipulate numbers of varying magnitudes. It also makes arithmetic operations such as addition, subtraction, multiplication and division much easier to perform.

A mathematical notation for expressing numbers, using digits or symbols is known as the numeral system or the system of numeration.

The international number system is important because it allows people all over the world to communicate numerical information in a standardized way. It is used in fields such as mathematics, science, engineering, finance and economics.

International System of Numeration

The international number system is a system of numeration used in most countries around the world. The system uses groups or periods of three digits each to represent larger numbers. The first period from the right is the one’s period, followed by the thousands period, the millions period, and so on. Within each period, the digits are separated by commas in some regions, while others use periods or spaces.

For example, the number 1,234,567,890 is divided into groups of three digits each, with commas separating the groups. The first period from the right represents the ones, followed by the thousands period, the millions period and the billions period. So, the number can be expressed as follows:

-> 1 - billion (1,000,000,000)
-> 234 - million (234,000,000)
-> 567 - thousand (567,000)
-> 890 - ones (890)
-> One billion, two hundred thirty-four million, five hundred sixty-seven thousand, eight hundred ninety

In the number 12,345,678, the place values of each digit are:

-> 8 – Ones
-> 7 – Tens
-> 6 – Hundreds
-> 5 – Thousands
-> 4 – Ten Thousand
-> 3 – Hundred Thousand
-> 2 – Millions
-> 1 – Ten Million

The relations between the place values:

-> 1 hundred = 10 tens
-> 1 thousand = 10 hundreds = 100 tens
-> 1 million = 1000 thousand
-> 1 billion = 1000 millions