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[계산력] 1-4-3.연산법칙 결합법칙. 교환법칙. 분배법칙 중1 수학 [106문제]

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1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산 1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[[영역
영역]] 1.
1.수와
수와 연산
연산
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
중 1
◇「콘텐츠산업 진흥법 시행령」제33조에 의한 표시
1) 제작연월일 : 2016-02-16
2) 제작자 : 교육지대㈜
3) 이 콘텐츠는 「콘텐츠산업 진흥법」에 따라 최초
제작일부터 5년간 보호됩니다.
◇「콘텐츠산업
진흥법」외에도「저작권법」에
의하여
보호되는 콘텐츠의 경우, 그 콘텐츠의 전부 또는 일부를
무단으로 복제하거나 전송하는 것은 콘텐츠산업 진흥법
외에도 저작권법에 의한 법적 책임을 질 수 있습니다.
1. 덧셈의 연산법칙
세 수   에 대하여
(1) 덧셈의 교환법칙:       
(2) 덧셈의 결합법칙:          
참고
◉ 뺄셈에서는 교환법칙과 결합법칙이
성립하지 않는다.
2. 곱셈의 연산법칙
세 수   에 대하여
(1) 곱셈의 교환법칙:  ×    × 
(2) 곱셈의 결합법칙:  ×  ×    ×  × 
◉ 나눗셈에서는 교환법칙과 결합법칙
이 성립하지 않는다.
3. 분배법칙
세 수   에 대하여
5.
덧셈의 연산법칙
zb5)
다음 계산 과정에서 (가),(나)에 이용된 덧셈의 계산법칙을
구하여라.
         
◪ 각 ㉠, ㉡을 계산하여라.
          
1.
2.
3.
zb1)
㉠     , ㉡   
(가)
         
(나)
     
zb2)
zb3)
㉠     , ㉡    
㉠        
㉡          
  
   

6.
zb6)
다음 계산 과정에서 (가),(나)에 이용된 덧셈의 계산법칙을
구하여라.
       
         
4.
      □    



㉡            


zb4)


㉠     

        
     
ECN-0199-2015-001-000666229
(가)
(나)
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
◪ 다음을 덧셈의 교환법칙과 결합법칙을 이용하여 계산하여
라.
7.
8.
9.
10.
11.
zb7)
20.
zb9)
zb10)
zb11)
zb12)
     
      
22.
23.
14.
15.
16.
17.
18.
19.
zb13)
zb14)
zb15)
zb17)
zb18)
zb19)
zb23)
 

       




      

zb24)
        
       
zb25)
          
      
       
26.
zb26)
       
27.
zb16)
zb22)
  


       


      
25.
13.
zb21)
      
24.
12.
       
       
21.
zb8)
zb20)
zb27)
        
           
       
        
   



    



        
28.
29.
30.
zb28)
zb29)
zb30)
           
 



         



        
ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
곱셈의 연산법칙
31.
zb31)
37.
zb37)
 ×  ×  
다음 계산 과정에서 (가),(나)에 이용된 곱셈의 계산법칙을
구하여라.
 
 

   ×   ×  


  ×   ×  


   ×   ×  

38.
zb38)



 ×   ×  

(가)
(나)
39.
zb39)
 

 ×   ×  

  ×  
 
32.
zb32)
40.
다음 계산 과정에서 (가),(나)에 이용된 곱셈의 계산법칙을
41.
zb40)
zb41)

  ×   ×  
 

× 
  ×  
 
구하여라.
 

   ×   ×    


   ×  ×   


 ×   ×  

(가)
42.
zb42)

  ×  ×  
 
(나)
   ×  
43.
zb43)
  ×  ×   
  × 
 
44.
◪ 다음을 곱셈의 교환법칙과 결합법칙을 이용하여 계산하여
라.
33.
zb33)
45.
35.
36.
zb34)
zb35)
zb36)
zb45)
 ×  ×  
  ×   ×  
 ×  ×  
46.
34.
zb44)
zb46)

  ×   ×  
 
×  ×  
 ×  × 
  ×  ×   
47.
48.
zb47)
zb48)

  ×   ×  
 

  


 ×   ×  


ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
49.
50.
51.
52.
53.
54.
55.
zb49)
zb50)
zb51)
zb52)
zb53)
zb54)
zb55)
분배법칙
 ×  ×  
◪ 다음 연산법칙에 대한 설명으로 옳은 것에는 ○표, 옳지
않은 것에는 ×표를 하여라.


×  ×    
 

 
60.
  ×   ×  
61.
  ×  ×  
62.
 

  ×   ×  

63.
64.
  ×   ×  
zb60)
zb61)
zb62)
zb63)
zb64)
 ÷  ×    ÷  × 
(
)
 ÷  ÷    ÷  ÷ 
(
)
   ÷    ÷    ÷ 
(
)
 ×      ×    × 
(
)
 ÷      ÷    ÷ 
(
)
  ×   ×   
◪ 다음 식을 분배법칙을 이용하여 계산하여라.
56.
zb56)
  ×   ×   ×  
65.
66.
57.
zb57)
 



 ×   ×   ×  


zb58)
zb59)
   × 
zb67)
 ×   


×   ×    ×  
 

 
68.
59.
zb66)
 ×   

67.
58.
zb65)



×   ×   
× 
 

 
   
69.
70.
zb68)
zb69)
zb70)
 ×  





×  

 


 
 ×   
 

ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
71.
72.
73.
zb71)
zb72)
zb73)



  ×   
 


×
   
 
85.
 
 
84.


  ×   ×


86.
87.
74.
75.
76.
77.
78.
79.
zb74)
zb75)
zb76)
zb77)
zb78)
zb79)
zb84)
zb85)
zb86)
zb87)
 ×    × 
 ×  × 
 ×    × 
 ×    × 
   × 

 
×  
 
88.


×  
   
 
89.

90.
  ×   
91.



×   





×     ×  
 

 
zb88)
zb89)
zb90)
zb91)


×    × 





 ×    × 


 ×    × 
 ×    × 
92.  ×   × 
zb92)
93.  ×    × 
zb93)
80.
zb80)
 



×    × 




94.  ×    × 
zb94)
81.  ×    × 
zb81)
95.
82.
83.
zb82)
zb83)
zb95)


×    × 



 ×    × 
 ×    ×  
96.
zb96)


×    × 



ECN-0199-2015-001-000666229
[영역] 1.수와 연산
97.
98.
99.
zb97)
zb98)
zb99)
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙


 ×  × 


 ×    × 
 ×    × 
100.  ×    × 
zb100)
101.  ×    × 
zb101)
102.  ×    × 
zb102)
103.
zb103)
 ×    ×  
104.  ×     ×    × 
zb104)
105.  ×    ×     × 
zb105)
106.
zb106)
 ×    ×    ×    × 
ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
14)  
⇨                
       
1) ㉠ 
2) ㉠  
㉡ 
15)  
⇨                
      
㉡  
㉡  
3) ㉠ 



          

⇨ ㉠
㉡              

4) ㉠     ㉡   

               


㉡                 


⇨ ㉠
5) (1) 덧셈의 교환법칙 (2) 덧셈의 결합법칙
⇨ (1)에서   과   의 자리를 바꾸어 더했으므로
‘덧셈의 교환법칙’을 사용하였다.
(2)에서   와   를 먼저 더했으므로
‘덧셈의 결합법칙’이 사용되었다.
6) (가) 덧셈의 교환법칙
(나) 덧셈의 결합법칙
7)  
⇨               
       
8)  
⇨                 
      
9) 
⇨               
      
10)  
⇨                
      
11)  
⇨               
       
12) 
⇨               
       
13)  
⇨               
     
16)  
⇨                 
       

17)  

       



       









⇨           







18)  




⇨     



   



         






         




     


 


19)  




⇨     



   



         






         






       



20) 
 


        





         





       





⇨        


ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
28)  




⇨       





21)  

    




            








            




  


         





          






            






         





⇨        


       
29)  

22)  

 
 


      




⇨               


 


           


       






⇨           


 
 

⇨       



        




      


24)  


⇨            


     
 


30)  


23)  


 

 
 


⇨           




           


 
 
 


           






             






           


     
31) ㉠ 교환법칙 ㉡ 결합법칙

⇨ ㉠   -  의 자리를 바꾸어 곱했으므로

곱셈의 교환법칙
25)  
⇨          
          
         
      
26)  
⇨          
           
         
      
27)  




⇨       




    




            








            




      

㉡     를 먼저 곱했으므로

곱셈의 결합법칙
32) ㉠ 교환법칙 ㉡ 결합법칙
⇨   와   의 자리를 바꾸어 곱했으므로
㉠ 에는 곱셈의 교환법칙
㉡ 에서는 곱셈의 순서를 바꾸었으므로
곱셈의 결합법칙
33)  
⇨  ×  ×  
  ×  ×  
  ×  ×  
  ×  
34)  
⇨  ×  ×  
  ×  ×  
  ×  ×  
  ×   
35)  
ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
⇨  ×  × 
  ×  ×  
  ×  ×  
  ×   


36)  

 
 
   
   
 


⇨   ×  ×  




  ×   ×  




  ×   ×  




  ×    


 
 
   
   
43)  


⇨   ×  ×  




  ×   ×  




  ×   ×  


  ×  
 
 

38)  







  ×  ×  



  ×    






39)  

 

⇨  ×   × 


  ×  ×  

 

  ×  ×   



  ×      



40)  

     
     
     
   



⇨  ×  × 






  ×  × 






  ×  × 






   ×    




41)  


42)  


⇨   ×  ×  




   ×   ×  




   ×   ×  


  ×   
37)  
⇨ ×  ×  
 ×  ×  
  ×  ×  
 ×   

⇨  ×   × 


  ×  ×  

  
   
   
 


⇨   ×   ×  




   ×   ×  




   ×   ×  




   ×   


 
   
   
44)  
⇨  ×  ×  
  ×  ×  
  ×  ×  
  ×  
 

45)  

   
   
   
 


⇨   ×   ×  




   ×   ×  




   ×   ×  



   ×  


 


46)  

 



⇨   ×   ×  



   
   
 


   ×   ×  




   ×   ×  




   ×    


ECN-0199-2015-001-000666229

1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산

47)  


55) 

     
     
     
   
     



   ×    ×   






   ×    ×   






   ×     ×   





   ×    





⇨  ×  × 






  ×  × 






  ×  × 






   ×    






⇨  ×  × 




48)  


  
   
   
 


⇨  ×   ×  




  ×   ×  




  ×   ×  




  ×    




56) 

     



   ×   ×   × 






   ×   ×   ×  





   ×   ×  




   ×    





⇨   ×   ×   ×  



49)  
⇨  ×  × 
  × ×  
  ×  ×  
  ×  

50)  



⇨   ×  ×  




  ×   ×  




  ×   ×  




  ×    





57)  

58)  


⇨   ×   ×   × 


 



   ×     ×   × 



 

   ×  ×  ×   

 


52)  
⇨   ×   ×  
  ×   × 
59)  



⇨   ×   ×   ×  



 
  




   ×    ×   ×   




   
   ×  ×  ×    





  ×    
53)  

 


⇨   ×   ×     ×   ×  


  ×   
 


51)  
⇨   ×   ×      ×   ×  
  ×    
54)  

⇨   ×   ×   

   ×    



  ×  ×  ×   


   
   
 
 

 


⇨   ×   ×   ×  


60) X


⇨  ÷  ×      ÷  ×   


  ×  ×  
61) X


⇨  ÷  ÷      ÷  ÷   


ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
⇨    ×    ×    ×       
62) ○
75)  


 
⇨  ×      ×    ×       


 
63) ○


64) X
 

⇨  ÷       ÷    ÷     
 

65) 
⇨  ×      ×    ×       
76) 


 
⇨    ×     ×     ×  




     


66) 
⇨    ×    ×   ×       
77) 


⇨  ×   


67) 
⇨  ×     ×    × 
     



  ×    × 



    
68) 
⇨  ×     ×    × 
    
78)  
⇨   ×       ×     × 





     
69)  




 
⇨  ×      ×    × 


 
        

79)  



⇨   ×     ×  






     ×       ×  
 
 


   ×   




 




⇨   ×   
 



   ×     ×      






       



 


72)  





⇨   ×   ×   × 


 

  
         








 
 
81) 
⇨ (주어진 식)
  ×      ×   
83) 
⇨  ×    ×    ×   
  ×   
   


  




  ×   


 
 





⇨ ×    ×   ×   








  ×    



82)  
⇨  ×    ×  
  ×      ×   

73)  



⇨   ×   × 




 



  


80)  


71)  






 





⇨ ×    ×   × 
 
 
 



  
     
    




70) 

×
84)  
⇨  ×    ×     × 
  ×   
85)  
74) 
ECN-0199-2015-001-000666229
1-4-3.연산법칙_결합법칙, 교환법칙, 분배법칙
[영역] 1.수와 연산
⇨  ×    × 
  × ×    ×   
⇨  ×    ×    ×   
  ×   
86) 
⇨  ×    ×    ×      ×   
100) 
⇨  ×  ×    × 
  ×  ×   
  ×   
87) 
⇨  ×    ×      ×    ×   
88) 




⇨  ×    ×    ×      ×   




89) 




⇨  ×    ×     ×    ×   




90) 
⇨  ×    ×    ×     ×   
  × 
 
101) 
⇨  ×    
  ×  
 
102) 
⇨  ×   
  × 
 
91) 
⇨  ×    ×      ×    ×   
92) 
⇨ (주어진 식)
  ×     ×   
93) 
⇨ (주어진 식)
    ×    ×   
94) 
⇨ (주어진 식)
  ×      ×   
95) 



⇨  ×    ×    ×   




  ×   

96)  



⇨  ×    ×    ×   




  ×   

97) 




⇨  ×   ×    ×    ×   




103) 
⇨  ×    ×  
  ×      ×   
104) 
⇨  ×    ×    × 
  ×      × 
  ×    × 
    × 
  × 

105) 
⇨ 분배법칙에 의해
 ×   ×     × 
  ×      × 
  ×    × 
  ×   
  × 

106) 
⇨  ×      ×   
  ×    × 
   
 
98) 
⇨  ×   ×     × 
  ×   
99) 
ECN-0199-2015-001-000666229
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