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Correctly explains why 6×100=600?

A) Commutative Property
B) Distributive Property
C) Multiplicative Identity
D) Associative Property

User Wuzseen
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1 Answer

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Final answer:

The correct answer is B. Distributive Property, despite not directly involving addition within the equation, it relates to the concept of multiplying a number by a group of 100's, inherently reflecting the distributive nature of multiplication.

Step-by-step explanation:

This arithmetic operation does not involve reordering elements or grouping them differently, so A) Commutative Property and D) Associative Property do not apply. Instead, it pertains to the way multiplication is distributed across addition, which in this case, isn't visibly shown as there is no addition. The Multiplicative Identity C) is related to the fact that any number multiplied by 1 yields the same number, which also does not apply in this scenario.

The distributive property states that for any real numbers a, b, and c, the equation a(b + c) = ab + ac holds true. However, since we're not dealing with the addition inside the multiplication, the concept of the distributive property in this case would be that multiplying a number by a group of 100's is the same as taking that number and adding as many 100's. This is understood more as an inherent concept of how multiplication scales a number by a factor, which relates closely to the essence of distributive property.

User Joseph Redfern
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