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.
Additive Inverses Examples Practice Problems
When you add a number to its inverse, the vectors or quantities cancel each other out, effectively neutralizing their magnitude. With decimals, the process is equally intuitive: the inverse of 2.
Understanding the Core Principle The core principle hinges on the definition of zero as the additive identity. Illustrative Table of Integers Number (a) Additive Inverse (-a) Sum (a + (-a)) 4 -4 0 -9 9 0 0 0 0 101 -101 0 Application with Fractions and Decimals The concept extends seamlessly to rational numbers, including fractions and decimals, proving its versatility in mathematical operations.
Additive Inverses Examples Practice Problems
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. Consider the number 7; its additive inverse is -7, because \( 7 + (-7) = 0 \).
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