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This is known as the commutative property of addition (and multiplication).

An easy way to remember the property is that the two elements commute, or exchange places, or that one element commutes from one side of the operation to the other, like a commuter (passenger) on a commuter train.

a + b = b + a

The other property concerning addition (and multiplication) of numbers that does not change their sum is the associative property.

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

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16y ago

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