BODMAS

The Order of an Equation
 
 
1.      ( )                 Brackets
 
2. ÷ and  x           Left to right
 
3.  + and  --           Left to right  
 
 
BODMAS
 
The letter B is telling you to do the brackets first
 
 
The letters DM represent division and multiplication
 
 
The letters AS represent addition and subtraction
     
 
This is the order to do things in an equation
 
 
 
Now we'll simplify some equations using BODMAS
 
 
(i)   ( 4 + 3 ) x 10    (so brackets first)
 
            7      x 10   = 70

 (Answer)    70

 
 
 
(ii)   8 + 2 x 6 
 
 Here we have a plus sign and a multiplication sign. Using BODMAS we do the multiplication first, so we'll rewrite this equation and insert brackets to indicate we do that part of the equation first.
 
     8 + (2 x 6)
 
      8 +    12     =  20
 
 (Answer)  20
 
 
 
 
(iii)  8 x 5 5 x 3  
 
Here in this equation we have a multiplication, minus and a multiplication.
 Using BODMAS we do the multiplication before the minus. So we'll put brackets round the part of the equation we'll be doing first.
 
   (8 x 5) − (5 x 3
 
      40    −      15     25
 
 (Answer)   25
 
 
 
 
(iv)   42 ÷  6  x  3  (so using BODMAS we do this equation from left to right)
         ----------->
 
       (42 ÷  6)  x  3 
    
             7       x  3  21  
 
(Answer)    21  
 
 
 
 
 
(v)   12 x [ 13 2 x 5 ] We do the brackets first. x and then
                                                                           
                           10
 
                  13 −   10  =  3 
                                                               
                                                              3 12  =  36
 
(Answer)  36
 
 
 
 
 
(vi)   40 ÷ [ (13 − 8)  x  2]  Do brackets first  x and then  ÷
 
        40 ÷ [      5       x  2]
 
        40 ÷           10          =   4  
 
(Answer) 
 
 
 
 
 
(vii)    45 +  25  So we'll put brackets round the 45 +  25 and rewrite it 
                7
 
           (45 +  25 )    =     (45 + 25)   ÷  7                
                  7
                                             70       ÷   =  10
 
(Answer)  10
 
 
 
 
 
 
(viii)  21  −  5  x  4  +  8  Here in this equation we a minus, multiplication and a plus sign. So we'll do the multiplication part first and insert brackets
 
21  − (5  x  4) +  8
-------------->
21  −     20     +  8 Now we finish the equation from left to right
 
       1            8  =  9
 
 
(Answer)    9
 
 
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