Question

Use the order operations to find the value of the expression.

12 divided by 2 x 3 - (7 - 5)


0

6

16

19

Answer 1

To evaluate the expression \( 12 \div 2 \times 3 - (7 - 5) \), we will follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Evaluate the parentheses**:
\[
7 - 5 = 2
\]
So, the expression becomes:
\[
12 \div 2 \times 3 - 2
\]

2. **Perform division and multiplication from left to right**:
- First, we divide:
\[
12 \div 2 = 6
\]
Now, the expression is:
\[
6 \times 3 - 2
\]
- Next, we multiply:
\[
6 \times 3 = 18
\]
Now, the expression is:
\[
18 - 2
\]

3. **Perform subtraction**:
\[
18 - 2 = 16
\]

Thus, the value of the expression is \( \boxed{16} \).