eolas/neuron/dc239556-fd21-4147-b56e-3d8b474984ad/Inversion_of_operators.md

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2024-12-09 18:34:15 +00:00
---
tags:
- prealgebra
---
# Inversion of operators
## Addition, subtraction
Addition is the inverse of subtraction: $$(x - a) + a = x$$ $$ (6 - 2) + 2 = 6
$$
Subtraction is the inverse of addition: $$(x + a) - a = x$$ $$ (3 + 2) - 2 = 3$$
Division is the inverse of multiplication $$ \frac{a \cdot x}{a} = x$$
$$ \frac{6
\cdot 3}{6} = 3
$$
Multiplication is the inverse of division $$ a \cdot \frac{x}{a} = x$$
$$
2 \cdot
\frac{8}{2} = 8
$$