8th Grade Summer Math Packet Worksheet - Khan Academy, 2014 Page 8

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T
T
:
O
O
 
OPIC  
HREE
 
RDER   O F  
PERATIONS
 
When   y ou   h ave   a   n umber   s entence   t hat   c ontains   s everal   o perations,   y ou   u se   t he   o rder   o f  
operations   t o   k now   w hich   o peration   m ust   b e   c ompleted   f irst.      
1. Do   a ll   o perations   w ithin   p arentheses   f irst.     T his   i s   c alled   “ clearing   p arentheses.”  
2. Perform   a ll   o perations   t hat   i nvolve   e xponents   n ext.      
3. Do   m ultiplication   a nd   d ivision   i n   t he   o rder   t hat   t hey   a ppear   f rom   l eft   t o   r ight.     T here   i s  
no   r ule   t hat   m ultiplication   c omes   b efore   d ivision.     T hese   t wo   a re   o n   t he   s ame   l evel.     Y ou  
have   t o   m ake   s ure   y ou   w ork   f rom   l eft   t o   r ight.      
4. Do   a ddition   a nd   s ubtraction   i n   t he   o rder   t hat   t hey   a ppear   f rom   l eft   t o   r ight.     A gain,  
these   t o   a re   o n   t he   s ame   l evel.     W e   d on’t   a dd   b efore   w e   s ubtract   –   w e   d o   w hichever   o f   t he  
two   c omes   f irst,   w hen   r eading   f rom   l eft   t o   r ight.     Y ou   h ave   t o   m ake   s ure   t o   w ork   f rom   l eft  
to   r ight.      
2
g
Example: 8
3
5
3 4 6
(
)
÷
+ −
− +
:  
 
 
 
1.
4
 
8 3
+
3
 
4.
÷  
5
56 7
+
 
 
 
 
 
 
 
2.
4
 
800 2
50
÷
+
 
 
 
 
 
 
5.
2
 
 
(26 17)
35
+
 
 
 
 
 
 
3.
2
3
 
 
6(7
2 )
 
 
 
 
 
 
6.
2
 
 
80 (20 10)
÷
÷
 
 
 
 
 
 
 
 
 
 

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