Mantissa: meaning, definitions and examples

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mantissa

 

[mรฆnหˆtษชsษ™ ]

Definition

Context #1 | Noun

mathematics term

In mathematics, a mantissa is the part of a logarithm that represents the significant digits of a number. It can also refer to the fractional part of a logarithm when expressed in decimal format. The mantissa essentially allows us to retrieve the scale of a number or a quantity, making it fundamental in calculations involving logarithmic metrics.

Synonyms

fractional part, significand.

Examples of usage

  • The mantissa of the logarithm is crucial in scientific calculations.
  • When dealing with base-10 logarithms, identifying the mantissa is essential for accuracy.
  • In computer science, the mantissa is important in floating-point representations.

Interesting Facts

Etymology

  • The word 'mantissa' comes from Latin, meaning 'something added' or 'to add.'
  • Historically, it referred to the fractional part of a logarithm in mathematics, before evolving into its current use in scientific notation.

Mathematics

  • In scientific notation, a number is expressed as a product of a mantissa and a power of ten, showing both size and precision.
  • For example, in the number 6.02 x 10^23, '6.02' is the mantissa, indicating how many significant figures are involved.

Technology

  • Computers often use mantissa in floating-point representation, allowing them to handle a vast range of numbers efficiently.
  • The precision of a mantissa in digital calculations can affect the accuracy of programs, particularly in scientific simulations.

Physics

  • In physics, the mantissa can represent important constants, like Avogadro's number, aiding in calculations across different scientific fields.
  • Using mantissas helps in simplifying the comparison of varying magnitudes of measurements, like comparing tiny particles and cosmic scales.

Education

  • In teaching math, understanding mantissas is crucial for concepts of decimals and scientific notation, helping students grasp complex number systems.
  • Educators emphasize mantissa to enhance students' skills in estimation and accuracy when dealing with measurements and large datasets.

Translations

Translations of the word "mantissa" in other languages:

๐Ÿ‡ต๐Ÿ‡น mantissa

๐Ÿ‡ฎ๐Ÿ‡ณ เคฎเฅˆเคŸเคฟเคธเฅเคธเคพ

๐Ÿ‡ฉ๐Ÿ‡ช Mantisse

๐Ÿ‡ฎ๐Ÿ‡ฉ mantissa

๐Ÿ‡บ๐Ÿ‡ฆ ะผะฐะฝั‚ะธัะฐ

๐Ÿ‡ต๐Ÿ‡ฑ mantysa

๐Ÿ‡ฏ๐Ÿ‡ต ใƒžใƒณใƒ†ใ‚ฃใƒƒใ‚ต

๐Ÿ‡ซ๐Ÿ‡ท mantisse

๐Ÿ‡ช๐Ÿ‡ธ mantisa

๐Ÿ‡น๐Ÿ‡ท mantissa

๐Ÿ‡ฐ๐Ÿ‡ท ๋งจํ‹ฐ์‚ฌ

๐Ÿ‡ธ๐Ÿ‡ฆ ู…ุงู†ุชูŠุณุง

๐Ÿ‡จ๐Ÿ‡ฟ mantisa

๐Ÿ‡ธ๐Ÿ‡ฐ mantisa

๐Ÿ‡จ๐Ÿ‡ณ ๅฐพๆ•ฐ

๐Ÿ‡ธ๐Ÿ‡ฎ mantisa

๐Ÿ‡ฎ๐Ÿ‡ธ mantissa

๐Ÿ‡ฐ๐Ÿ‡ฟ ะผะฐะฝั‚ะธัะฐ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ›แƒแƒœแƒขแƒ˜แƒกแƒ

๐Ÿ‡ฆ๐Ÿ‡ฟ mantissa

๐Ÿ‡ฒ๐Ÿ‡ฝ mantisa

Word Frequency Rank

This word's position of #33,726 indicates it's among the more rare English words. While understanding it broadens your vocabulary, focus on more common words first.