Insert grouping symbols to make the following sentence true:
160 = 8 * 16 + 12 - 4 / 2
160 = 8 * (16 + (12 - 4) / 2)
PEMDAS!!!
160 = (8 * 16) + (12 - 4) / 2
To make the equation 160 = 8 * 16 + 12 - 4 / 2 true, we need to insert grouping symbols in such a way that follows the order of operations.
The order of operations is as follows:
1. Parentheses
2. Exponents (i.e., powers and square roots)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's insert grouping symbols to make the equation true:
160 = (8 * 16) + 12 - (4 / 2)
Here's how it works:
- First, we perform the multiplication: 8 * 16 = 128.
- Then, we divide: 4 / 2 = 2.
- Next, we add: 128 + 12 = 140.
- Finally, we subtract: 140 - 2 = 138.
So, the complete equation with the grouping symbols becomes:
160 = (8 * 16) + 12 - (4 / 2)
which is true.