Question
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. \( 13-8-4-1=8 \) (F. \( 13-(8-4)-1=8 \) (b) Choose the true statement below. A. \( 13-8-4-1=0 \) B. \( (13-8)-(4-1)=0 \) C. \( 13-(8-4)-1=0 \)
Ask by Barker Reese. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) The correct statement is \( 13-(8-4)-1=8 \).
(b) The correct statement is \( 13-8-4-1=0 \).
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The Deep Dive
For statement (a), the correct arrangement of parentheses is option F: \( 13-(8-4)-1=8 \). By simplifying the left hand side, we get \( 13 - 4 - 1 \), which does indeed equal 8. For statement (b), option C is the correct choice: \( 13-(8-4)-1=0 \). Simplifying gives us \( 13 - 4 - 1 \) which equals 0. So, with the right placements of parentheses, both equations can hold true!