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When a sequence of numbers is added together, I can...

A) Distribute the sum
B) Distribute the product
C) Factor the sum
D) Factor the product

1 Answer

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Final answer:

The correct operation when adding a sequence of numbers is to factor the sum, which involves rewriting a sum or difference as a product using the reverse of the distributive property.

Step-by-step explanation:

When a sequence of numbers is added together, the correct operation that can be applied is C) Factor the sum. Factoring is a mathematical process where a sum or difference is rewritten as a product. For example, the distributive property A(B + C) = AB + AC, can be used in reverse to factor out a common factor from a sum.

In contrast, distributing a product refers to applying the distributive property to multiply a number across a sum or difference, as in the distributive law A(B + C) = AB + AC. This law is one of the ways multiplication can be distributed over terms in summation. However, when dealing only with the addition of a sequence of numbers, factoring is the appropriate term.

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