What is 3 -3 x 6 + 2?
Using the mnemonic Please Excuse My Dear Aunt Sally we are reminded that in the order of operations we follow
P = Parenthesis
E = Exponents
D = Division
A = Addition
S = Subtraction
To solve 3 - 3 x 6 + 2
We would do the multiplication first
3 - 18 + 2
Then we do the addition and subtraction working left to right
-15 + 2
When adding signs that are different keep the sign of the larger number and subtract.
If we use the concept of terms, then the order of operations is easy to identify.
We need to reduce each term to a single number before they can be added or subtracted in the final step.
Adding is commutative, so the numbers can be added in any order, as long as the sign is kept with the correct term.