Oblicz: a) 0,(3) + 1/7 b) 0,(4) + 0,(5) c )0,1(2) + 0,2(1) d) 1,(09) + 0,(90) Proszę o całe rozwiązanie , a nie tylko wyniki ;)
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a)
0.(3) = ?
x= 0.(3)
10x = 3,(3)
10x- x = 3,(3) - 0,(3)
9x=3
x=
x=
0.(3)=
b)
0,(4) = ?
10x = 4,(4)
10x - x = 4,(4) - 0,(4)
9x = 4
0,(4)=
c)
0,1(2)= ?
10x = 1,2(2)
100x = 12,2(2)
100x - 10x = 12,2(2) - 1,2(2)
90x = 11
0,1(2) =
0,2(1)= ?
10x=2,1(1)
100x=21,1(1)
100x-10x = 21,1(1) - 2,1(1)
90x = 19
0,2(1) =
d)
1,(09) = ?
x= 1,(09)
100x = 109,09(09)
100x-x = 109,09(09) - 1,(09)
99x = 108
1,(09) =
0,(90) = ?
x= 0,(90)
100x = 90,(90)
100x - x = 90,(90) - 0,(90)
99x = 90
0,90 =