eolas/zk/Inversion_of_operators.md

---
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 $$ a \cdot \frac{x}{a} = x$$

$$
2 \cdot
\frac{8}{2} = 8
$$
Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`---`
Reindexing 2022-09-06 13:26:44 +01:00			`tags:`
			`- prealgebra`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`---`

Autosave: 2024-10-18 20:00:02 2024-10-18 20:00:02 +01:00			`# Inversion of operators`

Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`## Addition, subtraction`

reformat all files to 80 char line length 2024-02-02 15:58:13 +00:00			`Addition is the inverse of subtraction: $$(x - a) + a = x$$ $$ (6 - 2) + 2 = 6`
Autosave: 2024-10-18 20:00:02 2024-10-18 20:00:02 +01:00
reformat all files to 80 char line length 2024-02-02 15:58:13 +00:00			`$$`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00
reformat all files to 80 char line length 2024-02-02 15:58:13 +00:00			`Subtraction is the inverse of addition: $$(x + a) - a = x$$ $$ (3 + 2) - 2 = 3$$`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00
reformat all files to 80 char line length 2024-02-02 15:58:13 +00:00			`Division is the inverse of multiplication $$ \frac{a \cdot x}{a} = x$$`
			`$$ \frac{6`
Autosave: 2024-10-18 20:00:02 2024-10-18 20:00:02 +01:00			`\cdot 3}{6} = 3`
			`$$`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00
reformat all files to 80 char line length 2024-02-02 15:58:13 +00:00			`Multiplication is the inverse of division $$ a \cdot \frac{x}{a} = x$$`
Autosave: 2024-10-18 20:00:02 2024-10-18 20:00:02 +01:00
			`$$`
			`2 \cdot`
			`\frac{8}{2} = 8`
			`$$`