Sure, let's solve the mathematical expression [tex]\(9 + 14 \times 2 - 33 \div 3\)[/tex] step-by-step.
### Step 1: Handle Multiplication and Division
According to the order of operations (PEMDAS/BODMAS rules), we need to perform multiplication and division before addition and subtraction.
First, we perform the multiplication:
[tex]\[ 14 \times 2 = 28 \][/tex]
Next, we perform the division:
[tex]\[ 33 \div 3 = 11.0 \][/tex]
### Step 2: Substitute Back into the Expression
Now we substitute these values back into the original expression:
[tex]\[ 9 + 28 - 11.0 \][/tex]
### Step 3: Perform Addition and Subtraction
Now, we handle the addition and subtraction from left to right:
[tex]\[ 9 + 28 = 37 \][/tex]
[tex]\[ 37 - 11.0 = 26.0 \][/tex]
So, the final result is [tex]\(26.0\)[/tex].
