Rozwiązane

9. Oblicz.
1
2
3
1
a)
b) }:3+5:5
c) (3-6).
d) (15 - 3). (+3)
e) 1. 1}. 3+ (11)
+) (2/6 - 3)² - 2
g) 10-2 (3-24-5)
h) (3 - +1į): (23-6)
15



9 Oblicz 1 2 3 1 A B 355 C 36 D 15 3 3 E 1 1 3 11 26 3 2 G 102 3245 H 3 1į 236 15 class=

Odpowiedź :

Odpowiedź:

a) 3/4 + 1/4 : 2/3 - 3/4 + 1/4 * 3/2 = 3/4 + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/8

b) 1/3 : 3 + 5 : 1/5 = 1/3 * 1/3 + 5 * 5 = 1/9 + 25 = 25 1/9

c) (3 1/3 - 5/6) * 4/15 = (10/3 - 5/6) * 4/15 = (20/6 - 5/6) * 4/15 =

   = 15/6 * 4/15 = 1/3 * 2/1 = 2/3

d) (1 1/8 - 1/2) * (3/5 + 1/3) = (9/8 - 4/8) * (9/15 - 5/15) = 5/8 * 4/15 =

    = 1/2 * 1/3 = 1/6

e) 1 1/5 * 1 2/3 * 1/7 + (1 1/7)² = 6/5 * 5/3 * 1/7 + (8/7)² =

    = 2/1 * 1/1 * 1/7  + 64/49 = 2/7 + 64/49 = 14/49 + 64/49 = 78/49 = 1 29/49

f) (2 1/6 - 2/3)²- 2 1/5 = (13/6 - 4/6)² - 2 1/5 = (9/6)²- 2 1/5 =

   = 81/36 - 2 1/5 = 2 9/36 - 2 1/5 = 2 45/180 - 2 36/180) = 9/180 = 1/20

g) 10 - 2 ( 3 1/5 - 2 1/4 * 1/3) = 10 - 2 (16/5 - 9/4 * 1/3) = 10 - 2(16/5 - 3/4 * 1/1) =

    = 10 - 2(16/5 - 3/4) = 10 - 2 (64/20 - 15/20) = 10 - 2 * 49/20  =

    = 10 - 1 * 49/10  = 10 - 4 9/10 = 9 10/10 - 4 9/10 = 5 1/10

h) (7/3 - 5/12 + 1 1/2) : (2 3/4 - 5/6) = (28/12 - 5/12 + 18/12) : (11/4 - 5/6) =

   = 41/12 : (33/12 - 10/12) = 41/12 : 23/12 = 41/12 * 12/23 =

   = 41/1 * 1/23 = 41/23 = 1 18/23

Szczegółowe wyjaśnienie:

Inne Pytanie