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Which equation shows the identity property of multiplication?\newlineChoices:\newline(A) wy=uvw \cdot y = u \cdot v\newline(B) 0u=00 \cdot u = 0\newline(C) uvuw=u(vw)u \cdot v - u \cdot w = u \cdot (v - w)\newline(D) u=1uu = 1 \cdot u

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Q. Which equation shows the identity property of multiplication?\newlineChoices:\newline(A) wy=uvw \cdot y = u \cdot v\newline(B) 0u=00 \cdot u = 0\newline(C) uvuw=u(vw)u \cdot v - u \cdot w = u \cdot (v - w)\newline(D) u=1uu = 1 \cdot u
  1. Identify Property of Multiplication: Identify the identity property of multiplication. The identity property of multiplication states that any number multiplied by 11 remains unchanged, i.e., a×1=aa \times 1 = a.
  2. Examine Choice (A): Examine choice (A) wy=uvw \cdot y = u \cdot v to see if it demonstrates the identity property. This equation does not show the identity property because it does not involve multiplying by 11.
  3. Examine Choice (B): Examine choice (B) 0u=00 \cdot 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 00 equals 00.
  4. Examine Choice (C): Examine choice (C) uvuw=u(vw)u \cdot v - u \cdot w = u \cdot (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.
  5. Examine Choice (D): Examine choice (D) u=1uu = 1 \cdot u to see if it demonstrates the identity property. This equation shows the identity property because it states that a number uu remains the same when multiplied by 11.

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