Where do the parentheses go 2.5+5x6-2
The target value is supposed to be 43
well, 7.5 * 6 = 45, so ...
To determine where the parentheses go in the expression 2.5 + 5 * 6 - 2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, and Addition and Subtraction - from left to right).
Looking at the expression, we see that there are no parentheses involved. However, we can still apply the order of operations to evaluate the expression step-by-step:
1. First, we perform the multiplication: 5 * 6 = 30.
2. Then, we add the result to 2.5: 2.5 + 30 = 32.5.
3. Finally, we subtract 2 from the previous result: 32.5 - 2 = 30.5.
Therefore, the value of the expression 2.5 + 5 * 6 - 2 is 30.5.
To determine where the parentheses go in the expression 2.5 + 5 x 6 - 2, we need to follow the order of operations (also known as PEMDAS or BODMAS). This means that we must perform the operations in a specific order:
1. Parentheses: Evaluate expressions within parentheses first.
2. Exponents: Perform any calculations involving exponents or powers.
3. Multiplication and Division: Perform multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, perform addition and subtraction operations from left to right.
Looking at our expression, there are a few different places where we could add parentheses to clarify the order of operations.
Option 1: 2.5 + (5 x 6) - 2
In this case, we put parentheses around 5 x 6 to ensure that the multiplication operation is performed first.
After evaluating 5 x 6, we get 30.
So the expression simplifies to 2.5 + 30 - 2.
Option 2: (2.5 + 5) x 6 - 2
Here, we put parentheses around 2.5 + 5 to indicate that addition is performed before multiplying by 6.
After evaluating 2.5 + 5, we get 7.5.
So the expression simplifies to 7.5 x 6 - 2.
Option 3: 2.5 + 5 x (6 - 2)
In this case, we put parentheses around 6 - 2 to ensure that the subtraction operation is performed first.
After evaluating 6 - 2, we get 4.
So the expression simplifies to 2.5 + 5 x 4.
Note: Without any parentheses, we can still evaluate the expression by following the order of operations. First, we perform the multiplication, then the addition and subtraction:
2.5 + 5 x 6 - 2 = 2.5 + 30 - 2 = 32.5 - 2 = 30.5
Depending on the desired outcome, you can choose one of the three options or evaluate the expression without adding parentheses.