# Question Video: Using the Distributive Property of Multiplication to Expand Expressions Containing Brackets Mathematics • 7th Grade

Bruce had π dollars in his savings account and then he deposited \$11. Seven months later, his balance had doubled. Write an equivalent expression to his new balance of 2 (π + 11) dollars.

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### Video Transcript

Bruce has π dollars in his savings account, and then he deposited eleven dollars. Seven months later, his balance has doubled. Write an equivalent expression to his new balance of two times π plus eleven dollars.

In order to write an equivalent expression, we can simplify what we have. Essentially, when the two is outside of these parentheses, weβre multiplying; itβs called the distributive property. So we will take two times π and add it to two times eleven.

To help visualize, we can use arrows. So the two multiplies to the π and the two also multiplies to the eleven, and we add those together, so two times π is two π and two times eleven is twenty-two. Therefore, the equivalent expression to his new balance would be two π plus twenty-two.