To solve the expression 12 ÷ 2 + 4 – 2 × 3, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
- Step 1: Perform Division and Multiplication from left to right.
The first operation we encounter is division: 12 ÷ 2. This equals 6. - Step 2: Update the expression.
Now, the expression looks like this: 6 + 4 – 2 × 3. - Step 3: Perform multiplication next.
Now we perform the multiplication: 2 × 3. This equals 6. - Step 4: Update the expression again.
The expression is now 6 + 4 – 6. - Step 5: Perform addition and subtraction from left to right.
First, we add: 6 + 4, which equals 10.
Then, we subtract: 10 – 6, which equals 4.
So, the final answer to the expression 12 ÷ 2 + 4 – 2 × 3 is 4.