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marialuizaaraujo
@marialuizaaraujo
October 2020
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Encontre a geratriz das seguintes dízimas periódicas.
a)0.111... b)0,2727... c)0,4333... d)0,15656...
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beatrizbueno332
A)(10.) x=0,111
10x=1,11
x=0,11
9x=1,00
x=1/9
b)(100.) x=0,2727
100x=2,72
x=0,27
99x= 2,45
x= 2/99
c)(10.) x=0,4333
10x=4,33
x=0,43
9x=3,90
x=3/9
d)(100.) x=0,15656
100x=1,56
x=0,15
99x=1,41
x=1/99
1 votes
Thanks 1
Ygor123
A) x=0,111...
10x=1,111...
9x= 1
x= 1/9 RESPOSTA 1/9
(#*#*10x-x *#*#)
B) x=0,2727...
10x= 2,7272...
100x= 27,2727...
99x= 27,2727 - 0,2727 (corta 2727 fica 27-0) DEPOIS DA VÍRGULA OS NÚMEROS TEM QUE SER SIMÉTRICOS, ISSO EM TODOS OS CASOS
(#*#* 100x-x #*#*)
x= 27/99 RESPOSTA 27/99
C)x=0,4333...
10x= 4,333...
100x= 43,333...
90x = 39
x= 39/90 RESPOSTA 39/9
(#*# 100x-10x #*#*)
D) x=0,15656...
10x= 1,5656...
100x= 15,6565...
1000x= 156,5656...
990x= 155
x= 155/900
(*#*# 1000x - 10x *#*#)
0 votes
Thanks 0
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10x=1,11
x=0,11
9x=1,00
x=1/9
b)(100.) x=0,2727
100x=2,72
x=0,27
99x= 2,45
x= 2/99
c)(10.) x=0,4333
10x=4,33
x=0,43
9x=3,90
x=3/9
d)(100.) x=0,15656
100x=1,56
x=0,15
99x=1,41
x=1/99
10x=1,111...
9x= 1
x= 1/9 RESPOSTA 1/9
(#*#*10x-x *#*#)
B) x=0,2727...
10x= 2,7272...
100x= 27,2727...
99x= 27,2727 - 0,2727 (corta 2727 fica 27-0) DEPOIS DA VÍRGULA OS NÚMEROS TEM QUE SER SIMÉTRICOS, ISSO EM TODOS OS CASOS
(#*#* 100x-x #*#*)
x= 27/99 RESPOSTA 27/99
C)x=0,4333...
10x= 4,333...
100x= 43,333...
90x = 39
x= 39/90 RESPOSTA 39/9
(#*# 100x-10x #*#*)
D) x=0,15656...
10x= 1,5656...
100x= 15,6565...
1000x= 156,5656...
990x= 155
x= 155/900
(*#*# 1000x - 10x *#*#)