3 + 5 - 7 ÷ 8 × 2
Understand the Problem
The question is asking to perform a mathematical calculation involving addition, subtraction, division, and multiplication. We need to follow the order of operations to solve it correctly.
Answer
The final answer is \(11\).
Answer for screen readers
The final answer to the problem is (11).
Steps to Solve
- Identify the operations involved
First, let's determine the operations present in the problem. We need to perform addition, subtraction, multiplication, and division.
- Set up the equation
Using the correct mathematical expression according to the order of operations (PEMDAS/BODMAS), arrange the numbers and operations from the problem correctly.
- Perform multiplication and division first
Always execute any multiplication or division before addition and subtraction.
- Example with multiplication and division
If the expression is (2 + 3 \times 4 - 6 \div 2), we perform:
- (3 \times 4 = 12)
- (6 \div 2 = 3)
- Simplify the expression
Now replace the multiplication and division results back into the expression.
- The new expression is (2 + 12 - 3)
- Perform addition and subtraction from left to right
Now add and subtract from left to right:
- (2 + 12 = 14)
- (14 - 3 = 11)
The final answer to the problem is (11).
More Information
In this problem, we practiced the order of operations (PEMDAS/BODMAS), which is crucial in mathematics to solve problems accurately and effectively.
Tips
- A common mistake is misapplying the order of operations, such as performing addition before multiplication or division.
- Always remember to complete multiplication and division before addition and subtraction.
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