Matematyka

Autorzy:Praca zbiorowa

Wydawnictwo:WSiP

Rok wydania:2013

Wykonaj działanie 4.63 gwiazdek na podstawie 8 opinii
  1. Gimnazjum
  2. 3 Klasa
  3. Matematyka

`a)\ sqrt(1 1/9-1/25:(-0,2)^2)+1 2/3=`  `sqrt(1 1/9-1/25:((-0.2)*(-0.2)))+1 2/3=` 

`\ \ \ =sqrt(1 1/9-1/25:0,04)+1 2/3=` `sqrt(1 1/9-1/25:4/100)+1 2/3=` 

`\ \ \ =sqrt(1 1/9-1/25:1/25)+1 2/3=` `sqrt(1 1/9-1)+1 2/3=sqrt(1/9)+1 2/3=1/3+1 2/3=2` 

 

`b)\ sqrt(4^2+3^2)*1/5+(-3/4)^2=` `sqrt(16+9)*1/5+(-3/4)*(-3/4)=` 

`\ \ \ =sqrt25*1/5+9/16=` `5*1/5+9/16=1+9/16=1 9/16` 

 

`c)\ [2^-1+2^-2+(-2)^(-3)]:2^-1=` `[1/2+(1/2)^2+(-1/2)^3]:1/2=` 

`\ \ \ =[1/2+1/2*1/2+(-1/2)*(-1/2)*(-1/2)]:1/2=` 

`\ \ \ =[1/2+1/4-1/8]*2=` `2/2+2/4-2/8=1+1/2-1/4=`  

`\ \ \ =1+2/4-1/4=1+1/4=1 1/4` 

 

`d)\ (1+2^-2):[1,5^2+(-4)^-1*3+(1/2)^2]=` 

`\ \ \ =(1+(1/2)^2):[(15/10)^2+(-1/4)*3+1/2*1/2]=` 

`\ \ \ =(1+1/4):[(3/2)^2-3/4+1/4]=` 

`\ \ \ =1 1/4:[9/4-3/4+1/4]=` `5/4:7/4=` `5/strike4^1*strike4^1/7=` `5/7`