ADDITIVE INVERSE Meaning and
Definition
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The term "additive inverse" refers to a mathematical concept in algebra that relates to the operation of addition and the properties of numbers. It is also known as the opposite or negation of a number.
In simple terms, the additive inverse of a number is another number that, when added to the original number, results in zero. More formally, given a number x, its additive inverse is denoted as -x. The sum of x and its additive inverse, -x, is equal to zero.
The concept of additive inverse is applicable to all real numbers, whether positive, negative, or zero. For positive numbers, their additive inverse is a negative number. Similarly, for negative numbers, their additive inverse is a positive number. In the case of zero, its additive inverse is zero itself.
The key property of the additive inverse is that the sum of a number and its additive inverse is always zero. Mathematically, it can be represented as: x + (-x) = 0.
The concept of additive inverse is crucial in various mathematical operations and algebraic manipulations. It allows for the cancellation of terms or simplification of expressions by adding the additive inverse of a particular number. In addition, it helps establish the existence of an identity element within addition, which is zero.
Common Misspellings for ADDITIVE INVERSE
- zdditive inverse
- sdditive inverse
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- qdditive inverse
- asditive inverse
- axditive inverse
- acditive inverse
- afditive inverse
- arditive inverse
- aeditive inverse
- adsitive inverse
- adxitive inverse
- adcitive inverse
- adfitive inverse
- adritive inverse
- adeitive inverse
- addutive inverse
- addjtive inverse
- addktive inverse
- addotive inverse
Etymology of ADDITIVE INVERSE
The term "additive inverse" is derived from the combination of two words: "additive" and "inverse".
The word "additive" comes from the Latin word "additus", which is the past participle of "addere", meaning "to add". In mathematics, the term "additive" refers to anything related to addition or the process of adding.
The word "inverse" comes from the Latin word "inversus", which is the past participle of "invertere", meaning "to invert" or "to turn upside down". In mathematics, the term "inverse" refers to an opposite or reverse operation that undoes or cancels out the effect of a given operation.
Therefore, when combined, "additive inverse" is used to describe the number that, when added to another number, yields a sum of zero. It denotes the opposite or reverse of a given number in terms of addition.
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