Decimal

Decimal is a number system that uses the base 10. It is the most commonly used number system in the world, and it is also the standard system for most calculations. The decimal system includes the digits from 0 to 9.

History

The decimal system has been in use for thousands of years. It was first used by the ancient Egyptians, and it was later adopted by the Greeks and Romans. The system was further developed by the Arabs, who introduced the concept of zero and the place value system.

Decimal notation

In decimal notation, each digit represents a multiple of a power of 10. For example, the number 1234.56 can be broken down as follows:

• 1 x 10^3 (thousands place)
• 2 x 10^2 (hundreds place)
• 3 x 10^1 (tens place)
• 4 x 10^0 (ones place)
• 5 x 10^-1 (tenths place)
• 6 x 10^-2 (hundredths place)

Decimal fractions

Decimal fractions are fractions where the denominator is a power of 10. These fractions are commonly used in everyday life, for example in measurements and currency.

Decimal to other number systems conversion

Converting from decimal to other number systems, such as binary, octal, or hexadecimal, involves dividing the decimal number by the base of the target number system and recording the remainder.

See also

• Binary number
• Octal number
• Hexadecimal number
• Number system

References

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