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Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) t=1tt = 1 \cdot t\newline(B) (t+u)v=tv+uv(t + u) \cdot v = t \cdot v + u \cdot v\newline(C) 0=0t0 = 0 \cdot t\newline(D) v+w=tuv + w = t \cdot u

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Q. Which equation shows the zero property of multiplication?\newlineChoices:\newline(A) t=1tt = 1 \cdot t\newline(B) (t+u)v=tv+uv(t + u) \cdot v = t \cdot v + u \cdot v\newline(C) 0=0t0 = 0 \cdot t\newline(D) v+w=tuv + w = t \cdot u
  1. Understand Zero Property: Understand the zero property of multiplication. The zero property of multiplication states that any number multiplied by zero equals zero. Mathematically, it is expressed as a×0=0a \times 0 = 0 or 0×a=00 \times a = 0, where 'aa' can be any real number.
  2. Examine Choice (A): Examine choice (A) to see if it represents the zero property of multiplication. Choice (A) is t=1tt = 1 \cdot t, which is an example of the identity property of multiplication because any number multiplied by one equals itself. This does not show the zero property of multiplication.
  3. Examine Choice (B): Examine choice (B) to see if it represents the zero property of multiplication. Choice (B) is (t+u)v=tv+uv (t + u) \cdot v = t \cdot v + u \cdot v , which is an example of the distributive property of multiplication over addition. This does not show the zero property of multiplication.
  4. Examine Choice (C): Examine choice (C) to see if it represents the zero property of multiplication. Choice (C) is 0=0t0 = 0 \cdot t, which correctly represents the zero property of multiplication because it states that zero multiplied by any number 'tt' equals zero. This is the correct representation of the zero property of multiplication.
  5. Examine Choice (D): Examine choice (D) to see if it represents the zero property of multiplication. Choice (D) is v+w=tuv + w = t \cdot u, which does not represent any multiplication property directly and certainly not the zero property of multiplication.

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