Quantcast Hierarchy of Mathematical Operations - h1014v1_36

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FOUR BASIC ARITHMETIC OPERATIONS Review of Introductory Mathematics Hierarchy of Mathematical Operations Mathematical  operations  such  as  addition,  subtraction,  multiplication,  and  division  are  usually performed in a certain order or sequence.   Typically, multiplication and division operations are done prior to addition and subtraction operations.   In addition, mathematical operations are also generally  performed  from  left  to  right  using  this  heirarchy.    The  use  of  parentheses  is  also common to set apart operations that should be performed in a particular sequence. Example: Perform the following mathematical operations to solve for the correct answer: (2 + 3) + (2 x 4) + ( ) = __________ 6 2 2 Solution: a. Mathematical operations are typically performed going from left to right within an equation and within sets of parentheses. b. Perform all math operations within the sets of parentheses first. 2 + 3 = 5 2 x 4 = 8 Note that the addition of 6 and 2 was performed prior to dividing 6 2 2 8 2 4 by 2. c. Perform all math operations outside of the parentheses.  In this case, add from left to right. 5 + 8 + 4 = 17 Example: Solve the following equation: (4 - 2) + (3 x 4) - (10 ÷ 5) - 6 = ______ Solution: a. Perform math operations inside each set of parentheses. 4 - 2 = 2 3 x 4 = 12 MA-01 Page 16 Rev. 0



 


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