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Question Use the distributive property to write an equivalent expression. \[ 10(5 r-5 s+7) \] Answer Attempt 1 out of 2 Submit Answer

Ask by Dickson Mills. in the United States
Mar 14,2025

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The equivalent expression is \(50r - 50s + 70\).

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When using the distributive property on the expression \( 10(5r - 5s + 7) \), you multiply each term inside the parentheses by 10. This results in: \( 10 \times 5r = 50r \), \( 10 \times -5s = -50s \), \( 10 \times 7 = 70 \). Putting it all together, the equivalent expression is: \[ 50r - 50s + 70. \] This showcases how the distributive property allows for simplifications and expansions of expressions, making it a fantastic tool in algebra. In daily situations, the distributive property can be particularly useful—like when calculating the total cost of purchasing multiple items. For instance, if you buy 10 notebooks for $5 each plus a $7 fee, you can quickly figure out your total cost without needing to add each item separately. Just use the distributive property to simplify your calculations!

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