Multiplicative: meaning, definitions and examples
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multiplicative
[ mʌltəˈplɪkətɪv ]
mathematics function
Multiplicative refers to a mathematical operation that involves multiplication. It describes a relationship or property where quantities are combined by multiplying them together. This term is often used in various mathematical contexts, including principles of arithmetic and algebra.
Synonyms
combinative, multiplying, product-based.
Examples of usage
- The multiplicative property of zero states that any number multiplied by zero equals zero.
- In a multiplicative system, the output is dependent on the product of inputs.
- Understanding multiplicative functions is essential for advanced mathematics.
Translations
Translations of the word "multiplicative" in other languages:
🇵🇹 multiplicativo
🇮🇳 गुणनात्मक
🇩🇪 multiplikativ
🇮🇩 multiplikatif
🇺🇦 множник
🇵🇱 mnożnik
🇯🇵 乗法的
🇫🇷 multiplicatif
🇪🇸 multiplicativo
🇹🇷 çarpan
🇰🇷 곱셈의
🇸🇦 ضربي
🇨🇿 multiplikativní
🇸🇰 multiplikatívny
🇨🇳 乘法的
🇸🇮 multiplikativen
🇮🇸 margfaldandi
🇰🇿 көбейту
🇬🇪 ამრავლებითი
🇦🇿 çarpan
🇲🇽 multiplicativo
Etymology
The term 'multiplicative' comes from the Latin word 'multiplicare', which means 'to multiply'. The root 'multi-' signifies 'many', while '-plicate' is derived from 'plicare', meaning 'to fold'. This composite indicates the concept of combining or 'folding together' multiple quantities through multiplication. The use of 'multiplicative' in mathematics can be traced back to developments in early arithmetic and algebra, where the focus shifted from simple addition to more complex operations involving products. Over centuries, this term has been crucial in defining various mathematical properties, including those in number theory and algebraic structures. Its usage has expanded into fields like economics and computer science, where multiplicative relationships play significant roles in modeling and data analysis.