Mathematics, often confusing, can make a complex equation simple if the rules are applied incorrectly. This problem highlights the importance of respecting the order of operations to achieve the right solution.
Solving the mathematical puzzle
The equation to solve is:
9–(9÷9)+9–(9÷9)
At first glance, this equation may seem simple. However, many quick calculations lead to an incorrect answer, often 0, instead of the correct answer which is 16.
The key lies in respecting the priorities of mathematical operations.
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Importance of priorities in calculations
In mathematics, it is crucial to perform operations in a specific order:
- Parentheses
- Exhibitors
- Multiplications and divisions (from left to right)
- Additions and subtractions (from left to right)
Let's see step by step how to solve this equation:
- Solve divisions inside parentheses:
- 9 ÷ 9 = 1
- The equation becomes: 9 – 1 + 9 – 1
- Perform operations from left to right:
- 9 – 1 = 8
- 8 + 9 = 17
- 17 – 1 = 16
The final answer:
The solution is therefore 16.
Common mistakes and lessons learned
The common error comes from not respecting the order of priority of operations. For example, subtracting the first two 9s instead of dividing first is a classic confusion. This type of trap underlines the importance of properly assimilating the mathematical bases.
Lessons to be learned
This problem, although apparently simple, recalls a fundamental rule applicable in mathematics. Practicing with this type of challenge allows you to develop your logic and avoid errors of interpretation.
SO, did you find 16 on the first try? If so, congratulations! Otherwise, don't be discouraged: these challenges are opportunities to learn and progress.
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