Question

zad.1 oblicz pamiętając o kolejności wykonywania działań

a) 1 1/4* 6 - 3 :1 1/5 =

b) (4 3/8 - 1 2/3 ) :3 3/4 =

c) 2 1/5 - 1 1/6 :2 1/3 =

c) [( 3/8 + 1/6) :3 1/4 ]-(1/3)potega 3 =

zad.2 rozwiąż równanie i sprawdź je.

a) 2 5/6: c =4 1/4

b) 2 2/5 * d = 9

zad.3 oblicz

a) 3/4 liczby 360

b) 2/5 liczby 150

c) 1 3/10 liczby 900

d) 2 1/2 liczby 300

* znaczy razy

/ kreska ułamkowa

potega 3 - do potegi 3

Answer 1

a)  1  1/4* 6 - 3 :1  1/5 = 5/4 * 6 - 3 : 6/5= 15/2 - 3 * 5/6 = 15/2 - 5/2 = 10/2 = 5

b)  (4  3/8 - 1  2/3 ) :3  3/4 = (35/8 - 5/3) : 15/4 = (105/24 - 40/24) * 4/15 = 65/24 * 4/15 = 13/18

c)  2  1/5 - 1  1/6 :2  1/3 = 11/5 - 7/6 * 3/7 = 11/5 - 1/2 = 22/10 - 5/10 = 17/10 = 1,7

c)  [( 3/8 + 1/6) :3  1/4 ]-(1/3)potega 3 = [(9/24 + 4/24) : 13/4] - 1/27 = 13/24 * 4/13 - 1/27 = 1/6 - 1/27 = 9/54 - 2/54 = 7/54

 

a)  2  5/6: c =4  1/4

17/6 : c = 17/4

c = 17/6 : 17/4

c = 17/6 * 4/17

c = 2/3

spr 17/6 : 2/3 = 17/6 * 3/2 = 17/4 = 4 1/4

b) 2  2/5 * d = 9

12/5 * d = 9

d = 9 : 12/5

d = 9 * 5/12

d = 15/4

spr 12/5 * 15/4 = 9

 

zad.3 oblicz

a) 3/4 liczby  360 = 3/4 * 360 = 90 * 3 = 270

b) 2/5 liczby 150 = 2/5 * 150 = 2 * 30 = 60

c) 1  3/10 liczby 900 = 13/10 * 900 = 13 * 90 = 1170

d) 2  1/2 liczby 300 = 5/2 * 300 = 5 * 150 = 750

Answer 2

ZAD1
OBLICZ PAMIĘTAJĄC O KOLEJNOŚCI WYKONYWANIA DZIAŁAŃ:
a)  1  1/4* 6 - 3 :1  1/5 = 5/4 * 6 - 3 : 6/5= 15/2 - 3 * 5/6 = 15/2 - 5/2 = 10/2 = 5

b)  (4  3/8 - 1  2/3 ) :3  3/4 = (35/8 - 5/3) : 15/4 = (105/24 - 40/24) * 4/15 = 65/24 * 4/15 = 13/18

c)  2  1/5 - 1  1/6 :2  1/3 = 11/5 - 7/6 * 3/7 = 11/5 - 1/2 = 22/10 - 5/10 = 17/10 = 1,7

c)  [( 3/8 + 1/6) :3  1/4 ]-(1/3)potega 3 = [(9/24 + 4/24) : 13/4] - 1/27 = 13/24 * 4/13 - 1/27 = 1/6 - 1/27 = 9/54 - 2/54 = 7/54

 ZAD2
ROZWIĄŻ RÓNANIA I SPRAWDŹ JE:

a)  2  5/6: c =4  1/4

17/6 : c = 17/4

c = 17/6 : 17/4

c = 17/6 * 4/17

c = 2/3

spr:17/6 : 2/3 = 17/6 * 3/2 = 17/4 = 4 1/4

b) 2  2/5 * d = 9

12/5 * d = 9

d = 9 : 12/5

d = 9 * 5/12

d = 15/4

spr: 12/5 * 15/4 = 9

 

ZAD3
OBLICZ:

a) 3/4 liczby  360 = 3/4 * 360 = 90 * 3 = 270

b) 2/5 liczby 150 = 2/5 * 150 = 2 * 30 = 60

c) 1  3/10 liczby 900 = 13/10 * 900 = 13 * 90 = 1170

d) 2  1/2 liczby 300 = 5/2 * 300 = 5 * 150 = 750