Sure, let's solve the expression step-by-step:
The expression given is:
[tex]\[ 3 \times 3 - 3 \div 3 + 3 \][/tex]
### Step 1: Perform Multiplication and Division
Let's handle the multiplication and division first, as per the order of operations (PEMDAS/BODMAS rules).
1. Calculate [tex]\( 3 \times 3 \)[/tex]:
[tex]\[ 3 \times 3 = 9 \][/tex]
2. Calculate [tex]\( 3 \div 3 \)[/tex]:
[tex]\[ 3 \div 3 = 1 \][/tex]
Now the expression simplifies to:
[tex]\[ 9 - 1 + 3 \][/tex]
### Step 2: Perform Addition and Subtraction
Next, we perform the addition and subtraction from left to right.
1. Subtract 1 from 9:
[tex]\[ 9 - 1 = 8 \][/tex]
2. Add 3 to 8:
[tex]\[ 8 + 3 = 11 \][/tex]
Thus, the value of the expression is:
[tex]\[ 11 \][/tex]