Efetue as seguintes adições :
a) (+ 5|8) + (+ 1|2) + (− 2|15)
b)(+ 1|2) + (− 1|3) + (+ 1|5)
c)(− 1|2) + (− 4|10) + (+ 1|5)
d)(− 3|5) + (+ 2) + (− 1|3)
e) (+ 5) + (− 1|5) + (− 0,2)
f) (+ 0,1) + (− 1|5) + (− 2)
2 ) Efetue as subtrações
a) (+ 5|7) – (+ 2|3)
b) (+ 2|3) – (+ 1|2)
c) (+ 2|3) – (+ 4|5)
d) (− 2|5) – (− 1|4)
e ) (– 1|2) – (+ 5|8)
3) Efetue as multiplicações:
a) (1|4 .3|5) . 2|7
b)(2− 1|4) . (−2|3)
c) 4. (1− 7|5)
d) (−3|5) . (– 2 ) . (7|5)
e) (−3|4) .(+ 1|5) .(− 1|2)
4) Efetue as divisões:
a) 2|3 ∶ 3|16
b) (− 4|9) : (– 3)
c) 2|5 : (− 3|4)
d) (− 7|8)∶ 2|3
e) (− 4|5)∶ (− 3|5)
f) 0 : (− 4|7)
dnv '-'
Soluções para a tarefa
Resposta:
Explicação passo a passo:
Efetue as seguintes adições :
1)
a) (+ 5|8) + (+ 1|2) + (− 2|15)
= 5/8 + 1/2 - 2/15
= 5/8 + 4/8 - 2/15
= 9/8 - 2/15
Mmc (8,15)= 120
= (15.9-8.2)/120
= (135-16)/120
= 119/120
_________
b)(+ 1|2) + (− 1|3) + (+ 1|5)
= 1/2 - 1/3 + 1/5
Mmc (2,3,5)=30
= (15-10+6)/30
= 11/30
_________
c)(− 1|2) + (− 4|10) + (+ 1|5)
= - 1/2 - 4/10 + 1/5
Mmc = 10
= (-5-4+2)/10
= (-9+2)/10
= - 7/10
________
d)(− 3|5) + (+ 2) + (− 1|3)
= -3/5 + 2 - 1/3
Mmc = 15
= (-3.3 + 15.2 - 5)/15
= (-9+30-5)/15
= (-14+30)/15
= 16/15
_________
e) (+ 5) + (− 1|5) + (− 0,2)
= 5 - 1/5 - 0,2
= 5 - 0,2 - 0,2
= 5 - 0,4
= 4,6 . 10/10
= 46/10 (:2)/(:2)
= 23/5
_______
f) (+ 0,1) + (− 1|5) + (− 2)
= 0,1 - (0,2) - 2
= 0,1 - 0,2 - 2
= - 0,1 - 2
= -2,1 . 10/10
= - 21/10
_________
2 ) Efetue as subtrações
a) (+ 5|7) – (+ 2|3)
= 5/7 - 2/3
Mmc = 21
= (3.5 - 7.2)/21
= (15-14)/21
= 1/21
b) (+ 2|3) – (+ 1|2)
= 2/3 - 1/2
= (2.2 - 3)/6
= (4-3)/6
= 1/6
c) (+ 2|3) – (+ 4|5)
Mmc (3,5) =15
= 2/3 - 4/5
= (5.2-3.4)/15
= (10-12)/15
= - 2/15
________
d) (− 2|5) – (− 1|4)
= -2/5 + 1/4
Mmc = 20
= (-2.4 + 5)/20
= (-8+5)/20
= - 3/20
e ) (– 1|2) – (+ 5|8)
= - 1/2 - 5/8
Mmc (2,8)=8
= (-4-5)/8
= - 9/8
3) Efetue as multiplicações:
a) (1|4 .3|5) . 2|7
= 3/20 . 2/7
= 6/140 (:2)/(:2)
= 3/70
b)(2− 1|4) . (−2|3)
(8-1)/4 . (-2/3)
= - 7/4. 2/3
= - 14/12 (:2)/(:2)
= - 7/6
c) 4. (1− 7|5)
= 4.1 - 4.7/5
= 4 - 28/5
= (5.4-28)/5
= (20-28)/5
= - 8/5
d) (−3|5) . (– 2 ) . (7|5)
= 6/5 . 7/5
= 42/25
e) (−3|4) .(+ 1|5) .(− 1|2)
= - 3/20 . (-1/2)
= 3/40
4) Efetue as divisões:
a) 2|3 ∶ 3|16
= 2/3 . 16/3
= 32/9
_______
b) (− 4|9) : (– 3)
= 4/9 . 1/3
= 4/27
_________
c) 2|5 : (− 3|4)
= - 2/5 . 4/3
= - 8/15
___________
d) (− 7|8)∶ 2|3
= - 7/8 . 3/2
= - 21/16
__________
e) (− 4|5)∶ (− 3|5)
= 4/5 . 5/3
= 5/5.4/3
= 4/3
__________
f) 0 : (− 4|7)
= - 0 . 7/4
= 0