Add parentheses to 9+8•7-6•5+4•3+2 so that the value of the expression is 105
Add parentheses to 4+2•3second power +1= 24
To add parentheses to the expression 9 + 8 • 7 - 6 • 5 + 4 • 3 + 2, where the value of the expression is 105, we need to group certain operations together to ensure the correct order of operations is followed.
First, let's break down the expression according to the order of operations (PEMDAS/BODMAS):
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Based on the final desired value of 105, we can add parentheses in multiple ways to achieve that result.
Option 1: ((9 + 8) • 7) - (6 • 5 + 4 • 3) + 2
Here, we grouped the addition operation (9 + 8) in the first parentheses and the multiplication operation (6 • 5 + 4 • 3) in the second parentheses. Remember, within each set of parentheses, you perform the operations based on the order of operations.
Option 2: 9 + (8 • (7 - (6 • (5 + (4 • (3 + 2))))))
This option involves nesting parentheses starting from the innermost operation (3 + 2), then moving outward step by step. Again, ensure you follow the order of operations within each parenthesis.
Both options above will yield a value of 105 when you evaluate the expression.