Q. Which equation shows the zero property of multiplication?Choices:(A) 1⋅m=m(B) m⋅n=n⋅m(C) (m⋅n)⋅p=m⋅(n⋅p)(D) 0=0⋅m
Understand zero property of multiplication: Understand the zero property of multiplication.The zero property of multiplication states that any number multiplied by zero equals zero. This can be written as a×0=0 or 0×a=0, where 'a' is any real number.
Examine choices for representation: Examine each choice to see which one represents the zero property of multiplication. (A) 1⋅m=m - This is the identity property of multiplication, which states that any number multiplied by 1 is the number itself.
Identify identity property: Continue examining the choices.(B) m⋅n=n⋅m - This is the commutative property of multiplication, which states that the order in which two numbers are multiplied does not change the product.
Recognize commutative property: Continue examining the choices.(C) (m⋅n)⋅p=m⋅(n⋅p) - This is the associative property of multiplication, which states that the way in which numbers are grouped when being multiplied does not change the product.
Understand associative property: Continue examining the choices.(D) 0=0⋅m - This choice shows that zero multiplied by any number 'm' equals zero, which is a direct representation of the zero property of multiplication.