Correct Answer - Option 3 : the rule for application of general knowledge
Many rules taught in mathematics classrooms “expire” when students develop knowledge that is more sophisticated, such as using new number systems. For example, in elementary grades, students are sometimes taught that “addition makes bigger” or “subtraction makes smaller” when learning to compute with whole numbers, only to find that these rules expire when they begin computing with integers.
More recently, a fifth rule was proposed by Simundza in a laboratory course for precalculus. This is the fifth rule, Experiential is in the words of Simudza, a "direct sensory experience of qualitative phenomena".
Basic Arithmetic Operations: The four basic arithmetic operations in Maths are Addition, Subtraction, Multiplication, Division. The fifth rule of mathematics is the rule for the application of general knowledge.
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Addition: The addition is a mathematical process of adding things together. The addition process is denoted by the ‘+’ sign. It involves combining two or more numbers into a single term
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Addition Rules
- The addition of two positive integers is a positive integer
- The addition of two negative integers is a negative integer
- While adding positive and negative integer, subtract the integers and use the sign of the largest integer number
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Subtraction: It gives the difference between two numbers. Subtraction is denoted by the ‘-‘ sign. It is almost similar to addition but is the conjugate of the second term.
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Subtraction Rules
- If both the signs of the integers are positive, the answer will be the positive integer
- If both the signs of the integers are negative, the answer will be the negative integer
- If the signs of the integers are different, subtract the values, and take the sign from the largest integer value.
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Multiplication: It is known as repeated addition. It is denoted by ‘×’ or ‘*’. It also combines with the two or more values to result in one a single value
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Multiplication Rules
- The product of two positive integers is a positive integer.
- The product of two negative integers is a positive integer.
- The product of positive and negative integers is a negative integer.
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Division: The division is usually denoted by ‘÷‘ and is the inverse of multiplication. It constitutes two terms dividend and divisor, where the dividend is divided by the divisor to give a single term value.
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Division Rules
- The division of two positive integers is a positive integer
- The division of two negative number is a positive integer
- The division of integers with different signs results in the negative integer
Thus from the above-mentioned points, it is clear that the fifth rule of mathematics is the rule for the application of general knowledge.