Short Answer 
The expression 3+3×3-3+3 is solved using the order of operations (PEMDAS). First, the multiplication 3×3 is performed, resulting in 9, and then the additions and subtractions are carried out in sequence, leading to the final answer of 12.
Step 1: Understand PEMDAS
To solve the expression 3+3×3-3+3, it’s essential to grasp the order of operations known as PEMDAS. This acronym stands for:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
By following PEMDAS, we can systematically evaluate the expression correctly.
Step 2: Perform Multiplication First
In our expression, we identify the multiplication operation and execute it first. Here, we multiply:
- 3 x 3 = 9
This simplifies our expression from 3+3×3-3+3 to 3+9-3+3, setting us up for the next steps.
Step 3: Complete Addition and Subtraction
Now, we will evaluate the remaining operations, which are all additions and subtractions. We process them from left to right:
- 3 + 9 = 12
- 12 – 3 = 9
- 9 + 3 = 12
As a result, the final answer to the expression 3+3×3-3+3 is 12.