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Directions: Evaluate

1. [tex]17 - 5 \cdot \frac{4}{2}[/tex]

Sagot :

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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].
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