{(16 \div 2)-6} \times 12
Answer (2)
The expression is evaluated step by step following the order of operations.
First, divide 16 by 2: 16 ÷ 2 = 8
Then, subtract 6 from the result: 8 − 6 = 2
Finally, multiply the result by 12: 2 × 12 = 24
The final answer is: 24
Explanation
Understanding the Expression We are given the expression to evaluate: {( 16 ÷ 2 ) − 6 } × 12
Performing the Division First, we need to evaluate the expression inside the curly brackets. According to the order of operations (PEMDAS/BODMAS), we perform the division first: 16 ÷ 2 = 8
Performing the Subtraction Next, we subtract 6 from the result: 8 − 6 = 2
Performing the Multiplication Finally, we multiply the result by 12: 2 × 12 = 24
Final Answer Therefore, the value of the expression is 24.
Examples
Imagine you are calculating the total cost of items on sale. Suppose a store offers a 50% discount on an item originally priced at $16, and then a further $6 discount. If you buy 12 of these items, this problem shows how to calculate the total cost: first, halve the original price ($16), then subtract the additional discount ($6), and finally multiply the result by the number of items (12). This type of calculation is useful in budgeting, understanding discounts, and managing expenses.
The value of the expression {(16 \div 2)-6} \times 12 is 24. We first divide 16 by 2, then subtract 6 from the result, and finally multiply by 12. Following the order of operations leads us to the final answer of 24.
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