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ADDITION

Commutative: 4 + 2 = 2 + 4

Associative: (2 + 3) + 4 = 2 + (3 + 4)

Identity: 5 + 0 = 5

Distributive: 4 * (6 + 3) = 4*6 + 4*3

MULTIPLICATION

Commutative: 4 * 2 = 2 * 4

Associative: (2 * 3) * 4 = 2 * (3 * 4)

Identity: 5 * 1 = 5.

Distributive: 4 * (6 + 3) = 4*6 + 4*3

DIVISION

Not Commutative: 6 ÷ 2 ≠ 2 ÷ 6

Identity: 8 ÷ 1 = 8

Zero: 0 ÷ 3 = 0; 3 ÷ 0 = undefined

These are just a few basic properties among the many different ones out there.

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