9) $(17+4 \times 3=$
5) $9+2 \times(8-2)-3=$
Answer (2)
Problem 9 involves multiplication and addition, which we solve by first multiplying 4 × 3 = 12 and then adding 17 + 12 .
Problem 5 involves parentheses, multiplication, addition, and subtraction. We first evaluate the parentheses ( 8 − 2 ) = 6 , then multiply 2 × 6 = 12 , and finally add and subtract 9 + 12 − 3 .
The result of problem 9 is 17 + 4 × 3 = 17 + 12 = 29 .
The result of problem 5 is 9 + 2 × ( 8 − 2 ) − 3 = 9 + 2 × 6 − 3 = 9 + 12 − 3 = 18 . The final answers are 29 and 18 .
Explanation
Understanding the Problem We are given two separate math problems to evaluate. We will solve each by following the order of operations (PEMDAS/BODMAS).
Solving Problem 9 For problem 9, ( 17 + 4 × 3 = , we first perform the multiplication: 4 × 3 = 12 . Then, we perform the addition: 17 + 12 = 29 .
Solving Problem 5 For problem 5, 9 + 2 × ( 8 − 2 ) − 3 = , we first perform the operation inside the parentheses: 8 − 2 = 6 . Then, we perform the multiplication: 2 × 6 = 12 . Then, we perform the addition and subtraction from left to right: 9 + 12 − 3 = 21 − 3 = 18 .
Final Answer Therefore, the answers are 29 for problem 9 and 18 for problem 5.
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or determining the outcome of a series of actions. For instance, if you are buying items at a store with discounts and taxes, knowing the order of operations ensures you calculate the final cost correctly. Similarly, in programming or engineering, the order in which operations are performed can significantly affect the result, making it essential to follow the correct sequence to achieve the desired outcome.
The final answer to problem 9 is 29 and to problem 5 is 18. Both results were obtained by applying the order of operations correctly. The calculations show how to handle multiplication, addition, and operations inside parentheses accurately.
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