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Name the property we can use to find the missing number in this equation: \newline5×?=8×55\times?=8\times5

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Full solution

Q. Name the property we can use to find the missing number in this equation: \newline5×?=8×55\times?=8\times5
  1. Identify Property: Identify the property that allows us to interchange the factors in a multiplication without changing the product. This is known as the Commutative Property of Multiplication, which states that a×b=b×aa \times b = b \times a. Here, we can apply this property to find the missing number by setting 5×?=8×55 \times ? = 8 \times 5.
  2. Apply Commutative Property: Apply the Commutative Property: Since 5×?=8×55 \times ? = 8 \times 5, we can rearrange the equation to ?×5=8×5? \times 5 = 8 \times 5. This shows that ?? must be equal to 88 to satisfy the equation.
  3. Verify Solution: Verify the solution: Substitute ?? with 88 and check the equation. 5×8=405 \times 8 = 40 and 8×5=408 \times 5 = 40. Both sides of the equation are equal, confirming that the missing number is indeed 88.

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