# Writing Products as Sums and Sums as Products – Practice ProblemsHaving fun while studying, practice your skills by solving these exercises!

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To express a product as a sum, apply the distributive property of multiplication over addition. And the other way around, to express a sum as a product, apply factoring. The ability to rewrite an expression in a different form allows flexibility and opens the mind to various possibilities in solving a mathematical problem. Learn how to express products as sums and sums as products by helping superhero En Fuego prepare a training regimen that would allow her to match the skills of her arch-rival superhero Ice Queen, the reigning champion, in a duel for this year’s upcoming Superhero supremacy showdown. Common Core Reference: CCSS.MATH.CONTENT.7.EE.A.1

Exercises in this Practice Problem
 Explain how to express the product $4(32x+2)$ as a sum. Determine how the different factors alter the expression $16x+1$. Explain how to express the sum $120x+16$ as a product. Write each sum as a product. State how to express the product $4(16x+1)$ as a sum. Represent products as sums and vice versa.