Math

Associative Property Calculator

Show that (a + b) + c = a + (b + c).

Calculated Output

(a ∘ b) ∘ c 15

a ∘ (b ∘ c) 15

Formula: (a ∘ b) ∘ c = a ∘ (b ∘ c)

Step-by-Step Breakdown

1. Values used:

2. a = 4

3. b = 5

4. c = 6

6. (a ∘ b) ∘ c = 15

7. a ∘ (b ∘ c) = 15

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The math behind it

(a + b) + c = a + (b + c) and (a × b) × c = a × (b × c). Subtraction and division are NOT associative.

(4 + 5) + 6 = 4 + (5 + 6) = 15.

Does it hold for subtraction?

No — (8 − 3) − 2 ≠ 8 − (3 − 2).