Răspuns:
Explicație pas cu pas:
a)
5/12 - 7/24 = 10/24 - 7/24 = 3/24
-7/18 + 11/36 = -14/36 + 11/36 = -3/36 = -1/12
0,(3) = 3/9 = 1/3
8/(1/3) = 8*3 = 24
3/24 : -1/12 *24 = -3/24*12/1*24 = -36
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b)
-1/2 : 1/10 = -1/2 *10/1 = -5
0,04 = 4/100
10^-2 = 1/10^2 = 1/100
4/100 " 1/100 = 4/100 *100/1 = 4
(-5 + 4)^32 = (-1)^32 = 1
[-0,0(3)]^2 = 0,0(3)^2 = (3/90)^2 = (1/30)^2 = 1/900
1 : 1/900 = 1 * 900/1 = 900
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c)
3/25 - 1,5 = 3/25 - 15/10 = 6/50 - 75/50 = -69/50
1,(6) = (16 - 1)/9 = 15/9 = 5/3
-69/50 * 5/3 = -23/10
0,1(6) = 15/90 = 1/6
1/6 + 14/5 = 5/30 + 84/30 = 89/30
-23/10 + 89/30 = -69/30 + 89/30 = 20/30 = 2/3
0,(074) = 74/999
2/3 : 74/999 = 2/3 * 999/74 = 333/37 = 9
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d)
(-0,2)^-1 = (-2/10)^-1 = -(1/5)^-1 = -5
-5*10^-2 = -5/100 = -0,05
0,125 : 10^-1 = 0,125 : 1/10 = 0,125 *10 = 1,25
0,1(6) = 15/90 = 1/6
1/6 * 3,6 = 1/6 * 36/10 = 6/10 = 0.6
-0,05 + 1,25 - 0,6 = 1,25 - 0,65 = 0,6 = 6/10 = 3/5
