When performing a series of arithmetic operations (i.e. addition, subtraction, division, multiplication, exponents), you must perform those operations in a particular order. There is a mnemonic to help you remember the order – PEMDAS:
P | Parentheses |
E | Exponents |
M | Multiplication |
D | Division |
A | Addition |
S | Subtraction |
If you have a series of operations, do what’s in parentheses first, then apply exponents, then do any multiplication or division, and finally do any adding or subtracting.
Example:
![Image of a series of operations](/sites/g/files/yyqcgq366/files/2020-12/N1_0.jpg)
Do what’s in parentheses first (find LCD):
![Image showing 2 minus 1/4](/sites/g/files/yyqcgq366/files/2020-12/N4_0.jpg)
So now we have
![Image showing what 3 multiplied by the fraction 7/4 looks like](/sites/g/files/yyqcgq366/files/2020-12/N7_0.jpg)
Now apply exponents:
![Image showing what 2 cubed looks like](/sites/g/files/yyqcgq366/files/2020-12/N2.jpg)
So now we have
![Image showing an operation consisting of 4+3 multiplied by the fraction 7/4 (this in in parenthesis) minus 8](/sites/g/files/yyqcgq366/files/2020-12/N9_0.jpg)
So now we have
![Image showing 4 plus the fraction 21/4 minus 8](/sites/g/files/yyqcgq366/files/2020-12/N5_0.jpg)
Now do addition and subtraction (find LCD):
![Image showing the additional and subtraction of fractions. 16/4 plus 21/4 - 32/4 equals 5/4](/sites/g/files/yyqcgq366/files/2020-12/N6_0.jpg)
So our answer is
![Image of the fraction 5/4](/sites/g/files/yyqcgq366/files/2020-12/N8_0.jpg)
Take Order of Arithmetic Operations Assessment
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