Consider the number 7; its additive inverse is -7, because \( 7 + (-7) = 0 \). An additive inverse is a foundational concept in mathematics that describes a number which, when combined with a given number, results in a sum of zero.
Additive Inverses in Algebraic Expressions Examples
For a fraction like \( \frac{3}{4} \), the additive inverse is \( -\frac{3}{4} \), ensuring the numerators cancel when denominators are aligned. 75, and their sum immediately resolves to zero.
This rule applies to zero as well, where the inverse of 0 is 0 itself, since \( 0 + 0 = 0 \). For any real number \( a \), its additive inverse is denoted as \( -a \), creating a pair that balances perfectly on the number line at equal distances from zero.
Additive Inverses Examples Algebraic Expressions
Similarly, the inverse of -15 is 15, demonstrating that the sign reverses to achieve balance. If presented with a term like \( 5x \), its inverse is \( -5x \), which is used to eliminate the term from one side of an equation.
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