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Rule

Associative Property of Addition

The way three or more terms are grouped when added does not affect the value of the sum.

$(a + b) + c = a + (b + c)$

For example, consider the sum

3 + 9 + 4 .

Grouping

3 + 9

and adding it to

4

produces the same result as grouping

9 + 4

and adding it to

3 .

(3 + 9) + 4 12 + 4 ✓ 16 = 3 + (9 + 4) ⇓ = 3 + 13 ⇓ = 16 ✓

Since the Associative Property of Addition is an axiom, it does not need a proof.

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