eolas/Mathematics/Prealgebra/Inversion_of_operators.md

25 lines
450 B
Markdown
Raw Normal View History

2022-04-23 13:26:53 +01:00
---
2022-09-06 13:26:44 +01:00
categories:
2022-04-23 13:26:53 +01:00
- Mathematics
2022-09-06 13:26:44 +01:00
tags:
- prealgebra
2022-04-23 13:26:53 +01:00
---
## Addition, subtraction
Addition is the inverse of subtraction:
2022-09-06 13:26:44 +01:00
$$(x - a) + a = x$$
2022-04-23 13:26:53 +01:00
$$ (6 - 2) + 2 = 6 $$
Subtraction is the inverse of addition:
2022-09-06 13:26:44 +01:00
$$(x + a) - a = x$$
2022-04-23 13:26:53 +01:00
$$ (3 + 2) - 2 = 3$$
Division is the inverse of multiplication
2022-09-06 13:26:44 +01:00
$$ \frac{a \cdot x}{a} = x$$
2022-04-23 13:26:53 +01:00
$$ \frac{6 \cdot 3}{6} = 3$$
Multiplication is the inverse of division
$$ a \cdot \frac{x}{a} = x$$
$$ 2 \cdot \frac{8}{2} = 8$$