The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In other words, \( a \cdot b = b \cdot a \).
Given the options:
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3(b10 + 4) = 3(4 + b10)3
This expression does not correctly demonstrate the Commutative Property since it has an incorrect structure and misuses operators. -
z11 ⋅ 2 = z11 + 2
This statement is incorrect, as it suggests multiplication equals addition, which violates basic arithmetic principles. -
2(b10 + z11) = (b10 + z11) ⋅ 2
This is the correct use of the Commutative Property. It shows that multiplying the sum \( (b10 + z11) \) by 2 can be expressed in either order. -
11(b + z) = 11b + 11z
This expression illustrates the Distributive Property, not the Commutative Property.
Thus, the correct answer demonstrating the use of the Commutative Property of Multiplication is:
2(b10 + z11) = (b10 + z11) ⋅ 2.
2 answers