What the property says

The commutative property says that changing the order of the factors does not change the product.

aimesb=bimesaa imes b = b imes a is why a 4imes74 imes 7 array and a 7imes47 imes 4 array contain the same total number of squares.

This is useful for mental math, multiplication tables, and explaining why factor order can be rearranged safely.

Quick uses

  • Reorder factors to use an easier multiplication fact.
  • Explain rectangular arrays in elementary arithmetic.
  • Check that two multiplication expressions are equivalent.