Odpowiedź:
a] 1 i 7/8 *[-6]= 15/8 *[-6] = -45/4 = - 11 i 1/4 [skra.amy 8 i 6 przez 2]
b] - 1 i 3/4 ;8= -7/4 *1/8 = -7/32
] 5,25 ; [-1 i 1/2]= 5 i 1/4 ; [ - 1 i 1/2]= 21/4 ; [-3/2]= 21/4 *[ - 2/3]=-7/2= - 3 i 1/2
[ skr.. 21 i 3 przez 3, oraz 4 i 2 przez 2]
d] -2 i 3/8 - 1/12= -2 i 9/24- 2/24= -2 i 11/24
e] - 13,1 -2,5= - 15 , 6
f] 12,5 +3,75= 16,25
g] 3/4 + 2/3 ; [ -8/12] + [1 i 1/2]²= 3/4 + 2/3 *[ -12/8] +[3/2]²=
= 3/4 + 2/3 *[- 12/8] +9/4= 3/4 -1 +2 i 1/4= -1+3= 2
h] [2*5/6 ]²- [3]²-√1 i 7/9]= [5/3]²+9 - √16/9= 25/9 -9 -4/3 =
=25/9-7 i 2/3= 25/9- 7 i 6/9= 2 i 7/9 - 6 i 15/9= - 4 i 8/9
Szczegółowe wyjaśnienie:
1 i 7/8 * (-6) = 15/8 * (-6) = -90/8 = -11 i 2/8 = -11 i 1/4
-1 i 3/4 : 8 = -7/4 * 1/8 = -7/32
5,25 : (-1 i 1/2) = 5,25 : -1,5 = -3,5
-2 i 3/8 - 1/12 = - 2 i 9/24 - 2/24 = -57/24 - 2/24 = -59/24 = -2 i 11/24
-13,1 - 2,5 = -15,6
12,5 + 3,75 = 16,25
3/4 + 2/3: (-8/12)+(1 1/2) do potęgi 2 = 3/4 + 2/3 * (-12/8) + (3/2)² =
= 3/4 + 2/3 * (-3/2) + 9/4 = 12/4 - 1 = 3 - 1 = 2
[2*5/6 ]²- [3]²-√1 i 7/9] = [5/3]² - (9 - √16/9) = 25/9 - (9 - 4/3) =
25/9 - 7 i 2/3 = 2 i 7/9 - 7 i 2/3 = 2 i 7/9 - 7 i 6/9 = 2 i 7/9 - 6 i 15/9 = -4 i 8/9
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Odpowiedź:
a] 1 i 7/8 *[-6]= 15/8 *[-6] = -45/4 = - 11 i 1/4 [skra.amy 8 i 6 przez 2]
b] - 1 i 3/4 ;8= -7/4 *1/8 = -7/32
] 5,25 ; [-1 i 1/2]= 5 i 1/4 ; [ - 1 i 1/2]= 21/4 ; [-3/2]= 21/4 *[ - 2/3]=-7/2= - 3 i 1/2
[ skr.. 21 i 3 przez 3, oraz 4 i 2 przez 2]
d] -2 i 3/8 - 1/12= -2 i 9/24- 2/24= -2 i 11/24
e] - 13,1 -2,5= - 15 , 6
f] 12,5 +3,75= 16,25
g] 3/4 + 2/3 ; [ -8/12] + [1 i 1/2]²= 3/4 + 2/3 *[ -12/8] +[3/2]²=
= 3/4 + 2/3 *[- 12/8] +9/4= 3/4 -1 +2 i 1/4= -1+3= 2
h] [2*5/6 ]²- [3]²-√1 i 7/9]= [5/3]²+9 - √16/9= 25/9 -9 -4/3 =
=25/9-7 i 2/3= 25/9- 7 i 6/9= 2 i 7/9 - 6 i 15/9= - 4 i 8/9
Szczegółowe wyjaśnienie:
Odpowiedź:
1 i 7/8 * (-6) = 15/8 * (-6) = -90/8 = -11 i 2/8 = -11 i 1/4
-1 i 3/4 : 8 = -7/4 * 1/8 = -7/32
5,25 : (-1 i 1/2) = 5,25 : -1,5 = -3,5
-2 i 3/8 - 1/12 = - 2 i 9/24 - 2/24 = -57/24 - 2/24 = -59/24 = -2 i 11/24
-13,1 - 2,5 = -15,6
12,5 + 3,75 = 16,25
3/4 + 2/3: (-8/12)+(1 1/2) do potęgi 2 = 3/4 + 2/3 * (-12/8) + (3/2)² =
= 3/4 + 2/3 * (-3/2) + 9/4 = 12/4 - 1 = 3 - 1 = 2
[2*5/6 ]²- [3]²-√1 i 7/9] = [5/3]² - (9 - √16/9) = 25/9 - (9 - 4/3) =
25/9 - 7 i 2/3 = 2 i 7/9 - 7 i 2/3 = 2 i 7/9 - 7 i 6/9 = 2 i 7/9 - 6 i 15/9 = -4 i 8/9