Los mathematical challenges continue to go viral social networks. These types of publications reach a large number of comments and interactions because users debate what the correct result is and what the process is to resolve them. A recent example is the operation 3 × 3 – 3 ÷ 3 + 3.
Although it is a formula with only five numbers, it combines all the basic operations and represents a challenge, since depending on the order in which it is solved, the result will be different, even though there is only one correct way to do it
To address this operation, it is necessary to apply the precedence rules known as PEMDAS in English or its equivalent in Spanish: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. These rules ensure that operations are resolved in a set order to avoid ambiguities.
The correct process is as follows:
- Solve multiplications and divisions from left to right.
- Resolver 3 × 3which results in 9.
- Then continue with 3 ÷ 3which is equal to 1.
- After this step, the operation looks like: 9 – 1 + 3.
- Solve addition and subtraction from left to right.
- Calculate 9 – 1which results in 8.
- summer 8 + 3.
Therefore, the final result of the operation is 11.
The order of operations is not arbitrary and its purpose is to ensure consistency in mathematical calculations. If different people solved the same operation in a different order, they would arrive at different results, which contradicts the fundamental principles of mathematics.
For example, if someone decided to add and subtract before solving multiplication or division, they could interpret the operation as:
- 3 × 3 = 9then add directly 9 + 3 = 12and then subtract 12 – 3 ÷ 3which would give an incorrect result of 11but under an erroneous logic in the intermediate interpretation.
Furthermore, these rules are essential both in solving everyday mathematical problems and in more elaborate areas such as programming and engineering, where precision is crucial.
Beyond getting a correct result, solving math problems offers profound benefits to the brain, with effects ranging from better memory to preventing cognitive decline. This activity can become a key tool to keep the mind agile and healthy over time.
- Strengthening memory and focus
Mental calculations force you to handle several numbers at the same time while performing consecutive operations, which strengthens working memory, essential for temporarily retaining information. Furthermore, this practice requires concentration to avoid errors, which helps to improve the ability to focus.
- Stimulation of neuronal plasticity
Solving mathematical problems activates multiple brain areas, especially those related to logical reasoning and memory. Research from Princeton University has indicated that this type of activity promotes neuronal plasticity, that is, the brain’s ability to adapt and respond to new challenges and learning.
- Faster mental processing
The habit of regularly facing mathematical problems increases the efficiency with which the brain processes information. This improvement not only manifests itself in faster calculations, but also in the ability to make agile decisions in daily life.
- Boost to analytical thinking
Solving mathematical exercises encourages a logical and structured approach to tackling any challenge. These analytical skills can be applied in multiple contexts, from conflict resolution to strategic planning and critical analysis in the professional or personal sphere.
- Protection against cognitive aging
The constant practice of activities that challenge the brain, such as mathematics, is associated with the ability to delay or prevent cognitive decline linked to aging. Some studies even suggest that this type of exercise can reduce the risk of neurodegenerative diseases such as Alzheimer’s, by keeping the mind active and alert.
