$\begin{array}{ll}9+4(3+7)-6= & F 17 \\ & G 13 \\ & H 124 \\ & J 22 \\ & K \text { None of these }\end{array}$
Answer (1)
Evaluate the expression inside the parentheses: 3 + 7 = 10 .
Perform the multiplication: 4 × 10 = 40 .
Perform the addition: 9 + 40 = 49 .
Perform the subtraction: 49 − 6 = 43 . The answer is not among the choices. None of these .
Explanation
Understanding the Expression We are given the expression 9 + 4 ( 3 + 7 ) − 6 and asked to evaluate it. We will use the order of operations (PEMDAS/BODMAS) to simplify the expression.
Parentheses First, we evaluate the expression inside the parentheses: 3 + 7 = 10 .
Multiplication Next, we perform the multiplication: 4 ( 10 ) = 40 .
Addition Then, we perform the addition: 9 + 40 = 49 .
Subtraction Finally, we perform the subtraction: 49 − 6 = 43 .
Finding the Answer The result of the expression is 43. Now we compare this result with the given answer choices. The choices are F) 17, G) 13, H) 124, J) 22, and K) None of these. Since 43 is not among the choices, the correct answer is K) None of these.
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses, determining the final cost of items with discounts, or even planning project timelines. For instance, if you're buying items with a discount and sales tax, you need to apply the discount before calculating the tax. If you buy an item for $20 with a 20% discount and then a 6% sales tax, you first calculate the discount: $20 \times 0.20 = 4 , so the discounted price is $20 - $4 = 16 . Then, you calculate the sales tax: $16 \times 0.06 = 0.96 , and the final price is $16 + $0.96 = 16.96 . The order of operations ensures you get the correct final amount.
