Combined Operations theory

Combined Operations

 

We call Combined Operations to those in which several arithmetic operations appear to be solved. To get the right result you need to follow some rules and take into account the priority between different operations.

 

There are several types of combined operations:

 

  • Without plain brackets: First we must solve the powers, then products and quotients and finally addition and subtraction.
bioprofe |exams with exercises about physics, chemistry and mathematics

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  • With plain brackets: First we perform the operations contained in plain brackets in the order of priority. Next, we remove parentheses solving the operations.
bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

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  • With square brackets: First we operate with the powers, products and quotients which are in plain brackets, we solve all the additions and subtractions of the plain brackets and instead of square brackets, we write parentheses directly. After this we multiply and finally we solve additions and subtractions.
bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

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bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

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In the case of operating with fractions, first we must solve products and mixed numbers that are in different brackets. After this, a simplification is made by replacing the square brackets by plain ones and solving the operations that there are within them. Finally, the numerator operations will be done, next we do the division and finally, we simplify the result:

bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

bioprofe |combined operations theory|05

bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

bioprofe |combined operations theory|06

bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

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bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

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  • With curly brackets: Firstly we operate with the powers, products and quotients which are in plain brackets, next we do additions and subtractions of plain brackets. Then we write square brackets instead of plain brackets directly and where we had curly brackets we write square ones, we operate inside the plain brackets, we put parentheses and finally we do additions and subtractions.
bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

bioprofe |combined operations theory|09

bioprofe |exams with exercises about physics, chemistry and mathematics | Combined Operations

bioprofe |combined operations theory|10

 

 

 

 

You can download the App BioProfe READER to practice this theory with self-corrected exercises.

 

 

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