Mantissa: meaning, definitions and examples
๐
mantissa
[mรฆnหtษชsษ ]
Definition
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:
๐ต๐น mantissa
๐ฎ๐ณ เคฎเฅเคเคฟเคธเฅเคธเคพ
๐ฉ๐ช Mantisse
๐ฎ๐ฉ mantissa
๐บ๐ฆ ะผะฐะฝัะธัะฐ
๐ต๐ฑ mantysa
๐ฏ๐ต ใใณใใฃใใต
๐ซ๐ท mantisse
๐ช๐ธ mantisa
๐น๐ท mantissa
๐ฐ๐ท ๋งจํฐ์ฌ
๐ธ๐ฆ ู ุงูุชูุณุง
๐จ๐ฟ mantisa
๐ธ๐ฐ mantisa
๐จ๐ณ ๅฐพๆฐ
๐ธ๐ฎ mantisa
๐ฎ๐ธ mantissa
๐ฐ๐ฟ ะผะฐะฝัะธัะฐ
๐ฌ๐ช แแแแขแแกแ
๐ฆ๐ฟ mantissa
๐ฒ๐ฝ 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.
- ...
- 33723 discomposed
- 33724 doyen
- 33725 harmlessness
- 33726 mantissa
- 33727 fritter
- 33728 wallop
- 33729 kiddo
- ...