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Identify the property illustrated by the equation 5⋅(6×8)=(5×6)⋅8.

a) Associative property of multiplication
b) Commutative property of multiplication
c) Associative property of addition
d) Identity property of multiplication

1 Answer

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Final answer:

The equation 5⋅(6×8) = (5×6)⋅8 demonstrates the Associative property of multiplication, indicating that the grouping of numbers in a multiplication sequence does not affect the product.

Step-by-step explanation:

The property illustrated by the equation 5⋅(6×8) = (5×6)⋅8 is the Associative property of multiplication. This property states that when we multiply three or more numbers, the way in which the numbers are grouped does not change the product. In the given equation, regardless of how the numbers are grouped, (first 5 and 6, then their product with 8, or first 6 and 8, then their product with 5), the result of the multiplication will be the same. This illustrates that multiplication is associative as it allows the numbers to be grouped in any fashion without affecting the outcome of the calculation.

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