Subjects algebra

Bracket Placement

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Bracket Placement


1. The given expression is $2 + 16 \div 2 + 6 = 4$ and we want to place one set of brackets to make this equation true. 2. First, let's understand the original expression without brackets: $$2 + 16 \div 2 + 6 = 2 + 8 + 6 = 16$$ This is not equal to 4, so we need to insert brackets to change the order of operations. 3. Let's try placing brackets around $16 \div 2 + 6$: $$2 + (16 \div 2 + 6) = 2 + (8 + 6) = 2 + 14 = 16$$ Not equal to 4. 4. Next, try brackets around $16 \div (2 + 6)$: $$2 + 16 \div (2 + 6) = 2 + 16 \div 8 = 2 + 2 = 4$$ This satisfies the equation. 5. Therefore, the correct placement of brackets is: $$2 + 16 \div (2 + 6) = 4$$ Final answer: Place the brackets as $16 \div (2 + 6)$ to make the equation true.