Matematyka

Autorzy:Joanna Czarnowska, Jolanta Wesołowska, Wojciech Babiański, Lech Chańko

Wydawnictwo:Nowa Era

Rok wydania:2014

Oblicz 4.4 gwiazdek na podstawie 5 opinii
  1. Liceum
  2. 1 Klasa
  3. Matematyka

`a)` 

`((3 2/5-2 1/4)*3 3/7)/((2 3/5-1):2 1/3)=((3 8/20-2 5/20)*24/7)/(1 3/5:2 1/3)=(1 3/20*24/7)/(8/5:7/3)=(23/strike20^5*strike24^6/7)/(8/5*3/7)=(\ \ (23*6)/(5*7)\ \ )/((8*3)/(5*7))=(23*6)/(5*7):(8*3)/(5*7)=(23*strike6^2)/strike(5*7)*strike(5*7)/(8*strike3^1)=(23*2)/8=23/4=5 3/4` 

 

 

`b)` 

`(3/4:1 1/2+4)/((6 1/2-5 3/5):9/5)-2=(3/4:3/2+4)/((6 5/10-5 6/10):9/5)-2=(strike3^1/strike4^2*strike2^1/strike3^1+4)/((5 15/10-5 6/10)*5/9)-2=(4 1/2)/(strike9^1/strike10^2*strike5^1/strike9^1)-2=(4 1/2)/(\ \ 1/2\ \ )-2=4 1/2:1/2-2=4 1/2*2-2=9-2=7` 

 

 

 

`c)` 

`1,8*(3,3-4 1/2:3 3/4)/(5,6:2 1/3+2,5)=1,8*(3,3-9/2:15/4)/(56/10:7/3+2 5/10)=1,8*(3,3-strike9^3/strike2^1*strike4^2/strike15^5)/(strike56^8/10*3/strike7^1+2 5/10)=18/10*(3 3/10-6/5)/(24/10+2 5/10)=9/5*(3 3/10-1 1/5)/(24/10+25/10)=9/5*(3 3/10-1 2/10)/(49/10)=9/5*(2 1/10)/(\ \ 49/10\ \ )=` 

`=9/5*(21/10)/(\ \ 49/10\ \ )=9/5*21/10:49/10=9/5*strike21^3/strike10^1*strike10^1/strike49^7=9/5*3/7=27/35` 

 

 

 

`d)` 

`0,75+((0,75*4/3):1 1/4)/(0,72-1/5:1 2/3)=3/4+((3/4*4/3):5/4)/(72/100-1/5:5/3)=3/4+(1:5/4)/(18/25-1/5*3/5)=3/4+(1*4/5)/(18/25-3/25)=3/4+(4/5)/(15/25)=3/4+(4/5)/(3/5)=3/4+4/5:3/5=3/4+4/strike5^1*strike5^1/3=` 

`=3/4+4/3=3/4+1 1/3=9/12+1 4/12=1 13/12=2 1/12` 

 

 

 

`e)` 

`(2 1/12+1 1/8)/((2 1/3+1 2/5)*1,5-7):3 3/4=(2 2/24+1 3/24)/((2 5/15+1 6/15)*15/10-7):15/4=(3 5/24)/(3 11/15*3/2-7)*4/15=(77/24)/(strike56^28/strike15^5*strike3^1/strike2^1-7)*4/15=(77/24)/(28/5-35/5)*4/15=(77/24)/(\ \ -7/5\ \ )*4/15=` 

`=77/24:(-7/5)*4/15=strike77^11/24*(-strike5^1/strike7^1)*4/strike15^3=-11/strike24^6*strike4^1/3=-11/18` 

 

 

`f)` 

`2,125-(4/21:2/35-3 1/9*3/7)/(4 4/9*0,4)=2 125/1000-(strike4^2/(strike21\ ^3)*strike35^5/strike2^1-strike28^4/strike9^3*strike3^1/strike7^1)/(strike40^4/9*4/strike10^1)=2 1/8-(10/3-4/3)/(16/9)=2 1/8-(\ \ 6/3\ \ )/(16/9)=2 1/8-2/(\ \ 16/9\ \ )=` 

`=2 1/8-2:16/9=2 1/8-strike2^1*9/strike16^8=2 1/8-9/8=2 1/8-1 1/8=1`