Question
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SOLUTION You can use the commutative property to reorder the terms of an expression. lames says that you can use the commutative property to rewrite \( 5 m+10 \) as \( 10 m+5 \). Is James correct? Explain.

Ask by Bolton Ford. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

James is incorrect because he changed the coefficients when rearranging the terms. The correct rearrangement using the commutative property is \( 5m + 10 = 10 + 5m \).

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The Deep Dive

James is not correct in his application of the commutative property. The commutative property applies only to addition and multiplication of the same terms. In this case, \( 5m + 10 \) cannot be rewritten as \( 10m + 5 \) because the terms involve different concepts: \( 5m \) represents a variable (with m being multiplied), while \( 10 \) is a constant. You can reorder \( 5m + 10 \) to \( 10 + 5m \), but not turning \( 10 \) into \( 10m \). To avoid confusion, always double-check the terms you are rearranging! Remember that changing the coefficients or constants changes the expression entirely. When using properties, focus on maintaining the original values and operations intact to ensure accuracy in your work. Happy problem-solving!

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