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Which of the Following Correctly Demonstrates the Use of the Co Commutative Property of Multiplication? A 3(b^10+4)=3(4+b^10)3 B

Question

Which of the following correctly demonstrates the use of the Co Commutative Property of Multiplication? A 3(b^10+4)=3(4+b^10)3 B 11(b+z)=11b+11z C 2(b^10+z^11)=(b^10+z^11)cdot 2 D z^11cdot 2=z^11+2 A B C D

Solution

Verificación de expertos
4.4 (153 Votos)
Antônio Mestre · Tutor por 5 anos

Resposta

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not affect the product. In other words, for any two numbers a and b, a * b = b * a.Let's analyze each option:A. This expression demonstrates the Commutative Property of Addition, not Multiplication. The terms within the parentheses are rearranged, but the multiplication remains the same.B. This expression demonstrates the Distributive Property, not the Commutative Property of Multiplication.C. This expression demonstrates the Commutative Property of Multiplication. The order of the factors is changed, but the product remains the same.D. This expression demonstrates the Commutative Property of Addition, not Multiplication. The terms within the parentheses are rearranged, but the multiplication remains the same.Therefore, the correct answer is C.