Q. Which equation shows the commutative property of multiplication?Choices:(A) q=m⋅n⋅p(B) m⋅n+m⋅p=m⋅(n+p)(C) m⋅n=n⋅m(D) 0⋅m=0
Understand Commutative Property: Understand the commutative property of multiplication. The commutative property states that changing the order of the factors does not change the product. In mathematical terms, this means a×b=b×a.
Examine Choice (A): Examine choice (A) q=m⋅n⋅p to see if it demonstrates the commutative property. This equation simply states that q is the product of m, n, and p, but does not show any change in the order of multiplication. Therefore, it does not demonstrate the commutative property.
Examine Choice (B): Examine choice (B) m⋅n+m⋅p=m⋅(n+p) to see if it demonstrates the commutative property. This equation is an example of the distributive property, where a common factor is distributed across terms inside a parenthesis. It does not show the commutative property.
Examine Choice (C): Examine choice (C) m⋅n=n⋅m to see if it demonstrates the commutative property. This equation shows two factors, m and n, being multiplied in both possible orders and set equal to each other. This is a direct representation of the commutative property of multiplication.
Examine Choice (D): Examine choice (D) 0⋅m=0 to see if it demonstrates the commutative property. This equation shows the multiplication of a number by zero, which always results in zero. It does not show the commutative property, but rather the property that any number multiplied by zero equals zero.