Q. Which equation shows the identity property of multiplication?Choices:(A) w⋅y=u⋅v(B) 0⋅u=0(C) u⋅v−u⋅w=u⋅(v−w)(D) u=1⋅u
Identify Property of Multiplication: Identify the identity property of multiplication. The identity property of multiplication states that any number multiplied by 1 remains unchanged, i.e., a×1=a.
Examine Choice (A): Examine choice (A) w⋅y=u⋅v to see if it demonstrates the identity property. This equation does not show the identity property because it does not involve multiplying by 1.
Examine Choice (B): Examine choice (B) 0⋅u=0 to see if it demonstrates the identity property. This equation shows the multiplication property of zero, not the identity property, because any number multiplied by 0 equals 0.
Examine Choice (C): Examine choice (C) u⋅v−u⋅w=u⋅(v−w) to see if it demonstrates the identity property. This equation shows the distributive property, not the identity property, because it involves distributing a multiplication over a subtraction.
Examine Choice (D): Examine choice (D) u=1⋅u to see if it demonstrates the identity property. This equation shows the identity property because it states that a number u remains the same when multiplied by 1.