Notice that \( 7+(7-3)-1=10 \), but that a different placement of parentheses would yield the statement \( (7+7)-(3-1)=12 \). Place parentheses to turn the equalities below into true statements. (a) \( 13-8-4-1=8 \) (b) \( 13-8-4-1=0 \) (a) Choose the true statement below. A. \( (13-8)-(4-1)=8 \) B. \( 13-8-4-1=8 \) C. \( 13-(8-4)-1=8 \)
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For part (a), the correct option is C. If we place the parentheses as \( 13-(8-4)-1 \), we have \( 13-4-1 = 8 \). So, that's how we transform the expression to make it equal to 8! For part (b), we can find a way to put parentheses to make the equation equal to 0. If we use the expression as \( (13-8)-(4-1) \), then it simplifies to \( 5-3 = 2 \), which doesn't work. However, if we revise and use \( 13-(8+(4-1)) \), that gives \( 13-8-3 = 2 \). To make it work for \( 0 \), we can place it as \( 13-(8+4-1) \) which simplifies to \( 13-11=2 \), keeping the exploration of alternatives open!