Explore and verify the commutative property of addition and multiplication.
Numbers to Compare
Addition Verification
12820
81220
Verified Match
Multiplication Verification
12896
81296
Verified Match
About this calculator
Switching Places
The commutative property states that for certain operations, changing the order of the operands does not change the result. In simple terms: 'Order doesn't matter'. This applies to Addition and Multiplication, but NOT to Subtraction or Division.
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Pro Tips
Commute comes from the word 'commuter', meaning to move back and forth.
Subtraction is NOT commutative: 5 - 3 ≠ 3 - 5.
Division is NOT commutative: 10 ÷ 2 ≠ 2 ÷ 10.
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Fun Facts
"Waiters use the commutative property when they add up the items on your bill in any order."
"The term 'commutative' was first introduced by François Servois in 1814."
"Non-commutative operations exist in advanced math, like matrix multiplication (AB ≠ BA)."
