MATHEMATICAL OPERATIONS

MATHEMATICAL OPERATIONS:

Mathematical operations are often used in reasoning to solve problems. Here are some common mathematical operations that are commonly used in reasoning:

 

  1. Addition: Addition involves combining two or more numbers to get a sum. It is used in reasoning to add quantities, calculate totals, and determine overall sums.

  2. Subtraction: Subtraction involves taking away one number from another to get a difference. It is used in reasoning to find the remaining quantity after subtracting a known value from a given value.

  3. Multiplication: Multiplication involves repeated addition and is used to calculate the result of multiplying two or more numbers. It is used in reasoning to determine the total quantity of items or values when they are multiplied together.

  4. Division: Division involves splitting a number into equal parts or groups. It is used in reasoning to distribute quantities evenly or to find the ratio or proportion between quantities.

  5. Comparison operators: Comparison operators such as greater than (>), less than (<), equal to (=), greater than or equal to (≥), and less than or equal to (≤) are used in reasoning to compare quantities and make decisions based on their relationships.

These are just some of the mathematical operations commonly used in reasoning. They can be combined in various ways to solve complex problems.


👉Here are some important points to keep in mind when solving mathematical operations in reasoning:

  • Follow the order of operations: When solving mathematical operations that involve multiple operations, it's important to follow the order of operations, which dictates the sequence in which operations should be performed.

  • The common order of operations is BODMAS, which stands for Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Following the correct order of operations ensures that you arrive at the correct result.

  • Be mindful of signs and symbols: Pay attention to signs and symbols used in mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/),  and comparison operators (<, >, =, ≤, ≥). Understanding the meaning and usage of these signs and symbols is crucial in solving mathematical operations correctly and interpreting their results.

  • Check for potential errors: Double-check your calculations for potential errors, such as mistakes in arithmetic, signs, or order of operations. Small errors can lead to incorrect results, so it's important to be thorough in your calculations and verify your answers to ensure their accuracy.

  • Practice and build your mathematical skills: Solving mathematical operations in reasoning requires practice and skill-building. Regularly practicing mathematical problems, working through examples, and familiarizing yourself with different types of mathematical operations and their applications can improve your ability to reason mathematically and solve problems effectively.

  • Apply critical thinking: Reasoning in mathematics involves critical thinking skills, such as analyzing problems, identifying patterns, making connections, and drawing logical conclusions. Develop your critical thinking skills by actively engaging with mathematical problems,  and challenging assumptions.

  • By keeping these important points in mind, you can improve your ability to solve mathematical operations in reasoning effectively and arrive at accurate and logical solutions.

 


EXAMPLES:

1) If D stands for x

         S stands for +

         A stands for -

          M stands for ÷

What is the value of 28D6S34M2A8D6.

Ans:- 28x6+34 ÷2-8x6

             = 168+117-48

             = 137.

2) In a certain code langauge

      + represent  x

       - represent +

       x represent ÷

       ÷ represent -

What is the value of 25 + 10 ÷ 240 x 16 ?

Ans:- 25 x 10 - 240 ÷ 16 

            = 235. 


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