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\begin{tabular}{l} Use the distributive procerty to rewrite the exprossion as a multiple of a sum of two numbers with no common tac \\ \( \qquad 10+36 \) \\ \hline\end{tabular}

Ask by Spencer Patel. in the United States
Feb 03,2025

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\(10 + 36 = 2(5 + 18)\)

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Mind Expander

To rewrite \( 10 + 36 \) using the distributive property, we can factor out the greatest common factor. The numbers 10 and 36 have a common factor of 2. So, we can express the sum as \( 2(5 + 18) \). This way, we factored out the common factor, leaving us with a simpler sum that is a multiple of the sum of 5 and 18. Now, we have \( 2(5 + 18) \). This expression shows that the entire sum can be viewed as 2 multiplied by the sum of two numbers (5 and 18) that share no common factors. This makes it neat and tidy, highlighting the relationship through the distributive property!

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