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Which equation shows the identity property of multiplication?\newlineChoices:\newline(A) 38=833 \cdot 8 = 8 \cdot 3\newline(B) 21=22 \cdot 1 = 2\newline(C) 05=00 \cdot 5 = 0\newline(D) 41=144 \cdot 1 = 1 \cdot 4

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Q. Which equation shows the identity property of multiplication?\newlineChoices:\newline(A) 38=833 \cdot 8 = 8 \cdot 3\newline(B) 21=22 \cdot 1 = 2\newline(C) 05=00 \cdot 5 = 0\newline(D) 41=144 \cdot 1 = 1 \cdot 4
  1. Understand identity property: Step 11: Understand the identity property of multiplication. The identity property states that any number multiplied by 11 results in the original number; mathematically, a×1=aa \times 1 = a and 1×a=a1 \times a = a.
  2. Examine choices: Step 22: Examine each choice to see which one fits the identity property.\newline(A) 38=833 \cdot 8 = 8 \cdot 3 - This shows the commutative property, not the identity property.\newline(B) 21=22 \cdot 1 = 2 - This fits the identity property because multiplying by 11 gives the original number, 22.\newline(C) 05=00 \cdot 5 = 0 - This is an example of the zero property of multiplication.\newline(D) 41=144 \cdot 1 = 1 \cdot 4 - This is incorrect because it should be 41=44 \cdot 1 = 4 to show the identity property; this instead shows the commutative property.

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