Evaluate \( 18-(6-1) \) and evaluate \( (18-6)-1 \). Is subtraction associative? \( 18-(6-1)=\square \) (Simplify your answer.)
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First, let's evaluate the expression \( 18-(6-1) \). 1. Calculate inside the parentheses: \( 6-1 = 5 \). 2. Now, substitute back into the expression: \( 18-5 = 13 \). So, \( 18-(6-1)=13 \). Now, let's evaluate the second expression \( (18-6)-1 \). 1. Calculate inside the parentheses: \( 18-6 = 12 \). 2. Now, substitute back into the expression: \( 12-1 = 11 \). So, \( (18-6)-1 = 11 \). To answer the question: Is subtraction associative? No, subtraction is not associative. The way numbers are grouped in subtraction affects the result, as seen in our calculations: \( 18-(6-1) \) gives us 13, while \( (18-6)-1 \) gives us 11.
