Insert Parentheses when necessary
7-2*5/2+6=-10
To solve this equation, we need to follow the order of operations (also known as PEMDAS/BODMAS). It stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's go through the expression step by step:
7 - 2 * 5 / 2 + 6 = -10
Step 1: Parentheses
There are no parentheses in the given equation, so we move on to the next step.
Step 2: Exponents
There are no exponents in the given equation, so we move on to the next step.
Step 3: Multiplication and Division
From left to right, we perform the multiplication and division operations:
2 * 5 = 10
10 / 2 = 5
After substitution:
7 - 5 + 6 = -10
Step 4: Addition and Subtraction
Now we perform the addition and subtraction operations from left to right:
7 - 5 = 2
2 + 6 = 8
Thus, the equation simplifies to:
8 = -10
Since 8 is not equal to -10, the given equation is not correct.
If you want to get the equation to be equal to -10, you need to change the position of the parentheses. Here's an example:
(7 - (2 * 5)) / (2 + 6) = -10
Following the order of operations:
(7 - 10) / 8 = -10
-3 / 8 = -10
-0.375 = -10
Therefore, with the appropriate placement of parentheses, the equation can be equal to -10.