Properties of multiplication

  • Multiplication is repeated addition
  • In 4 x 3 = 12, 4 & 3 are factors, 12 is product

commutative property of multiplication

  • Like Properties of addition the commutative property of multiplication states that we can multiply two or more numbers in any order without changing the product.
  • 6 x 5 = 5 x 6

associative property of multiplication

  • Like Properties of addition the associative property of multiplication states that we can group the multiplication of three or more factors in any order and not change the product.
  • 6 x (3x2) = (6x2) x 3

identity property of 1

  • The identity property of 1 states that any number multiplied by 1 remains unchanged.
  • 15 x 1 = 15

multiplication property of 0

  • The multiplication property of 0 states that the product of zero and any number is 0.
  • 15 x 0 = 0

distributive property of multiplication

  • 5 x (3+2) = (5x3) + (5x2) = 5x3 + 5x2
    • Note order of operations matters here.