3 \times 8-8 \div 2-6
Answer (2)
The expression 3 × 8 − 8 ÷ 2 − 6 simplifies to 14 by following the order of operations: first performing multiplication, then division, and finally subtraction. The final result is therefore 14 .
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Perform multiplication: 3 × 8 = 24 .
Perform division: 8 ÷ 2 = 4 .
Perform subtraction from left to right: 24 − 4 − 6 = 14 .
The final result is 14 .
Explanation
Understanding the Problem We need to evaluate the expression 3 × 8 − 8 ÷ 2 − 6 using the order of operations (PEMDAS/BODMAS). This means we perform multiplication and division before addition and subtraction, and we work from left to right.
Multiplication First, we perform the multiplication: 3 × 8 = 24 . The expression becomes 24 − 8 ÷ 2 − 6 .
Division Next, we perform the division: 8 ÷ 2 = 4 . The expression becomes 24 − 4 − 6 .
Subtraction Finally, we perform the subtractions from left to right: 24 − 4 = 20 , then 20 − 6 = 14 .
Final Answer Therefore, the final result is 14.
Examples
In everyday life, you might use the order of operations when calculating the total cost of items with discounts and taxes. For example, if you buy 3 items that cost $8 each, get a discount of $4 (equivalent to dividing $8 by 2), and then have to pay a tax of $6, the calculation 3 × 8 − 8 ÷ 2 − 6 helps you find the final amount you need to pay, which is $14.
