Escreva em forma de fração
0
100
-40
-300
0,3
206,2
-36,8
-2,0064
0,555...
1,2727...
0,77...
0,1515...
0,003003003...
0,102102102...
0,202520252025...
0,001350013500135...
1,333...
2,3636...
4,132132...
1,020702070207...
0,82444...
0,15272727...
0,6888...
0,23666...
2,05171717...
10,012444
Escreva em forma decimal as frações:
1/10
52/10
9/1000
2/5
5/3
2/3
14/11
25/18
Soluções para a tarefa
Resposta:
a)0/1 b) 100/1 c) -80/2 d)-1800/6 e)9/30
f)2062/10 g) -368/10 h)-20064/10000 i)1110/2000
j)1.527.272.724/120000 k)343.356,253673+5 /18 l)3030/100
m) 300/10^5 n) 1021/1=1021 o) 90/2,5 p)13500= 2300/5
Explicação passo-a-passo:
a)0=0/1
b)100=100/1
c)-40=
40+40=80 (-40) + (-40 )= -80
-80/2
d)-300=
-3x100=-300
-3x3=-9
-3x3x2=-18
-3x3x2x100=-1800
3x2=6
(-3x3x2x100):(3x2)
Assim, -1800/6
e) 0,3=
=3:10
ou 3 x 3:10 x 3
=9/30
f) 206,2=
100,1=1001/10
2062/10
g) -36,8=
¹ 36
x2
---------
72
36 x 2=72
72
x 2
------
144
72 x 2=144
-36,8 x 2 x 2=(-144)+(-0,8 x 2 x 2)=(-144) + (-0,8 x 4)=(-144) + {(-8:10) x 4}
(-144) + {(-4 x 2):10 x 4}= (-144) + { -1/5 x 4 }= (-144) + { -4/5 }= -144 - 4/5
obs.: 5/5=1 -4/5= -0,8=-8:10
4 I__5
40 0,8
O
-144/1 - 4/5=
=(-500-200-20-4)/5= -724/5
h)-2,0064=
100/1=100
1000/10=100
-2,0064=-20064/10000
i)0,555...
0,555 x 2 = 01,110
0,555
x 2
----------
01,110
1,110:2=
1,110 x 1000=1110
=1110/2000
1,110/
j)1,2727.....
127272727.... x 12=
1¹27¹272¹7¹27
x 12
----------------
254545454
+127272727
---------------------
1.527.272.724
=1.527.272.724/120000
k)0,7777......
77:100=0,77
7777:11110=0,7777
0,7...>1....>0,7/1=7:10
0,7...> 0,7/0,7...>1
0,7777 x 21=
0,¹7¹7¹77
x 21
-------------
¹0,¹7¹777
15554 +
-------------------
163.317
=385/500=0,707
385 I__500
3850 0,707
3500
3500
0
0,77...=
1,3+0,7=2
1-0,7777=0,22223
0,999¹0
- 0,7777
-------------
+0,22223
1+2=3
1,3+0,22223=1,52223
100-0,7777...=
099,999¹0
- 0,7777
---------------------------
992.223
0,7777...=
7777=10000-a
0999¹0
- 7777
----------
+72.223
a=72.223
7777=10000-a
x=10^4-72.223
x=10^4-(8.9)+1/5
1/5=0,2
b=0,223=
C : D =0,223=b
C : 5 = 0,223=b
C=11,115
¹5
X ¹0,¹223
--------------------
11,115
11,115=F/G
099,999¹0
- 77,7777
-----------------
22,2223
H : J =22,2223
H : 6 = 22,2223
H= 133,3338
¹2¹2,¹2¹2¹23
X 6
----------------
133,3338
133,3338/6=22,2223
133,3338/6-----22,2223
M -------------77,77....
22,2223 M = 133,3338/6 X 77,77....
133,3338/6 X 77,77....= (133,3338 X 4,6662)/6
133,3338/6 X 77,77....= ( 62.216.217.756)/6
M=1.369.362.812,6666 ------77,77....
Mm=13.693.628,126666-------77,77....
27.390.256,2533332/2
=343.356,253673+5 /18
62.216.217.756 I___6
2 2 1369362812,6666
41
56
21
37
17
55
76
40
¹133,3338
X 4,6662
--------------------
+ ¹266,6676
8000028
8000028
8¹000028
5333352
-------------------------------
62.216.217.756
0,²²7²²7²²77
X 6
-------------
4,6662
l)0,1515....
30/2=15
0,1515 (X200)
30,30...
3030/100
m)0,003003003 (x 100.000)
300/10^5
n) 0,102102102....
1021,1021.... (x10000)
- 0,1021... (x1)
-------------------------------
1021,0000 (x9999)
(1000+21)/z=1021
(10^3+3.7)/z=1021
1021/1=1021
o) 0,202520252025....
2025,2025...(x10000)
- 0,2025....(x1)
---------------------------------
2025 (x 9999)
2025 I___5
0 45
2025=45 x 5
2025= 90/5/2=90/5.1/2=90/2.5
p) 0,001350013500135...
13500,13500.......(x10.000.000)
- 000,1350013500...(x 100)
------------------------------------------
13500 (x 9.999.900)
13500= 2300/5
135 I__5
15 23
0