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قواعد الحساب

وضع علماء الرياضيات قواعد الحساب القياسية لتجنب الالتباس. ليس لها معنى خاص، ولكنها مختارة بعناية. وعليك الالتزام بها إذا كنت تريد الانضمام إلى بقية العالم.

 

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Order of operations

Mathematical operations follow rules of precedence, that is

• 1. Exponentiation and root extraction
• 2. Multiplication and division
• 3. Addition and subtraction

A Casio fx-82MS calculator also works according to these rules.

 

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Example 1

The rules force a particular syntax, such as in

6 + 3 × 5  = 21

and so it is not

        

Sometimes it has advantages to use parentheses, if only for readability, because at

all is clear.

 

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Example 2

In the calculation of

you must first perform the exponentiation, and only then take the square root. Thus

        

is completely wrong. The parentheses must be solved from inside to outside, so

 

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History Nothing is said about the use of parentheses, which play a special role.

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