choose the property illustrated by the following statement. (8•y)•9=8•(y•9) a. associative property of multiplication b. commutative property of multiplication c. distributive property d. identity element of multiplication

Verified Answer :

The required property is the associative property of multiplication. So, option a is correct.

Important information:

  • The given expression is \((8\cdot y)\cdot 9=8\cdot (y\cdot 9)\).

We need to identify the property for the given statement.

Associative property of multiplication:

According to the associative property of multiplication:

\((a\cdot b)\cdot c=a\cdot (b\cdot c)\)

Substituting \(a=8,b=y,c=9\), we get

\((8\cdot y)\cdot 9=8\cdot (y\cdot 9)\)

Thus, the associative property of multiplication is illustrated by the given statement. So, option a is correct.

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