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Name the property shown by each statement: 4 × (3 + c) = 4 × 3 + 4 × c.

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Final answer:

The property shown by the statement 4 × (3 + c) = 4 × 3 + 4 × c is the distributive property.

Step-by-step explanation:

The property shown by the statement 4 × (3 + c) = 4 × 3 + 4 × c is the distributive property.



The distributive property states that when you have a number multiplied by the sum of two or more terms, you can distribute the multiplication to each term individually and then add the results.



In this case, we have 4 multiplied by the sum of 3 and c. Using the distributive property, we can multiply 4 by each term individually, giving us 4 × 3 + 4 × c.

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