Additive Inverse -

: Subtraction can be rewritten as adding the opposite (e.g., Balancing Accounts : In finance, if you owe -50negative 50 ), a payment of +50positive 50 ) is the additive inverse that brings your balance to Common Mistake: Inverse vs. Reciprocal

: Used to "zero out" constants to isolate variables (e.g., subtracting from both sides of additive inverse

The additive inverse of a number is its . When you add a number to its additive inverse, the result is always zero . Core Concept : Subtraction can be rewritten as adding the opposite (e

To find the inverse of an expression, multiply the entire thing by -1negative 1 or flip the sign of every term. : Inverse : Practical Applications Core Concept To find the inverse of an

The numerical values of the numerator and denominator do not change. Only the sign of the entire fraction flips. The inverse of 23two-thirds −23negative two-thirds The inverse of −59negative five-nineths 59five-nineths For Algebraic Expressions

Finding an additive inverse is a simple 1-step procedure: . For Fractions

The states that for any real number , there exists a number −anegative a such that: a+(−a)=0a plus open paren negative a close paren equals 0 Positive numbers : The inverse is negative (e.g., 8→-88 right arrow negative 8 Negative numbers : The inverse is positive (e.g., -12→12negative 12 right arrow 12 Zero : The only number that is its own additive inverse ( How to Find It