The word "mantissa" is spelled with the IPA phonetic transcription /mænˈtɪsə/. The first syllable is pronounced as "man" with a short ‘a’ sound, followed by "tis" with a short ‘i’ sound and an emphasis on the second syllable. Lastly, "sa" is pronounced with a short ‘uh’ sound. A mantissa is a mathematical term that refers to the fractional part of a logarithm, usually expressed as a decimal. Knowing the correct spelling and pronunciation of mathematical terms is essential for students and professionals in the field.
Mantissa is a term primarily used in mathematics and computer science to refer to the fractional part of a logarithm, which is typically the decimal component after the decimal point. More specifically, it is the part of a logarithm that expresses the orders of magnitude of the corresponding number.
In logarithms, the mantissa is commonly represented as a real number between 1 and 10, or between -1 and -10 in the case of negative logarithms. It helps to determine the scale of a number, while the integer part of the logarithm, called the characteristic, represents the position of the decimal point within that scale.
The concept of mantissa is particularly prevalent in the logarithmic logarithm system, as well as in various applications such as scientific notations, floating-point representations, and algorithms involving exponentiation. It is the portion of a logarithm that carries significant information about the size and magnitude of a number, making computations and comparisons more manageable.
In computer science, the mantissa is also an important component in floating-point representation. In this context, it defines the precision of a number, indicating the number of significant digits available to represent the fractional part. This representation allows computers to handle extremely large or small numbers efficiently and accurately, by expressing them as a product of a mantissa and a suitable power of the base.
The decimal part of a logarithm.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The etymology of the word "mantissa" comes from Latin. It was borrowed into English from the Latin word "mantissa", which means "something added" or "a supplement". In Latin, "mantissa" is derived from the verb "mantiō", meaning "I add" or "I supplement". The term "mantissa" was adopted in mathematics to refer to the fractional part of a logarithm, usually expressed as a decimal.