Every real number has an additive inverse (its opposite), and every non-zero real number has a multiplicative inverse (its reciprocal). These properties are fundamental to algebraic manipulation and solving equations.
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Pro Tips
Additive Identity: The result of adding a number and its inverse is always 0.
Multiplicative Identity: The result of multiplying a number and its reciprocal is always 1.
Reciprocals: For a fraction a/b, the multiplicative inverse is b/a.
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Fun Facts
"Zero (0) is the only real number that does not have a multiplicative inverse."
"The additive inverse of zero is zero itself (0 + 0 = 0)."
"The multiplicative inverse of 1 is 1 itself (1 · 1 = 1)."
