To solve the arithmetic expression [tex]\(17 - 5 \cdot 4 \div 2\)[/tex], we need to follow the order of operations, commonly abbreviated as PEMDAS/BODMAS.
Here's the step-by-step breakdown:
1. Parentheses - There are no parentheses to evaluate in this expression.
2. Exponents - There are no exponents in this expression.
3. Multiplication and Division - Perform multiplication and division from left to right.
- First, we handle the multiplication and division:
[tex]\[
5 \cdot 4 = 20
\][/tex]
Now substitute this back into the expression:
[tex]\[
17 - \frac{20}{2}
\][/tex]
- Next, perform the division:
[tex]\[
\frac{20}{2} = 10
\][/tex]
Now our expression is:
[tex]\[
17 - 10
\][/tex]
4. Addition and Subtraction - Finally, perform subtraction:
[tex]\[
17 - 10 = 7
\][/tex]
Therefore, the evaluated expression [tex]\(17 - 5 \cdot 4 \div 2\)[/tex] results in 7.
So, the final answer is [tex]\(7\)[/tex].
