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a) {132 - [116- (16 - 8)]:2}.5
= [132 - (116 - 8): 2] .5
= (132 - 108 : 2). 54
= (132 - 54).5
= 78.5 = 390
b) 36: {136 : 200 - (12+ 8. 20)]}
= 36: {336 : [200 - ( 12 + 160)]}
= 36 : [336 : ( 200 - 172)
= 36 : ( 336 : 28) = 3
c) 86 - [15. (64 - 39): 75+11]
= 86 - (15.25 : 75 + 11)
= 86 - ( 5 + 11)
= 70
d) 55 - [ 49 - ( 2 3 . 17 - 2 3 . 14 ) ]
= 55 - 49 - 2 3 . 3
= 55- ( 49 - 24)
= 30
a, 3 . 5 2 - 16 : 2 2 = 3.25 - 16:4 = 75 - 4 = 71
b, 15.141 + 59.15 = 15.(141+59) = 15.200 = 3000
c, 2 3 . 17 - 2 3 . 14 = 8.17 - 8.14 = 8.(17 - 14) = 8.3 = 24
d, 20 - 30 - 5 - 1 2 = 20 - 30 - 4 2 = 20 - (30 - 16) = 20 - 14 = 6
a, 36:{336:[200–(12+8.20)]}
= 36:{336:[200–(12+160)]}
= 36:{336:[200–172]}
= 36:{336:28}
= 36:12 = 3
b, {145–[130–(246–236)]:2}.5
= {145–[130–10:2]}.5
= {145–130}.5
= 20.5 = 100
c, 100:{250:[450–(4. 5 3 – 2 2 .25]}
= 100:{250:[450–400]}
= 100:{250:50}
= 100:5 = 20
d, 798+100:[16–2.( 5 2 –22)]
= 798+100:10
= 798+10 = 808
e, (6954+1525:5+47.19).(29–58.2)
= (6954+1525:5+47.19).0 = 0
f, 2 4 .157– 2 4 .58+16
= 16.(157–58+1) = 1600
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=9-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=9-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}=\frac{81}{10}\)
a, 5 . 2 2 - 18 : 3 2
= 5.4 – 18:9
= 20 – 2 = 18
b, 17.85+15.17 – 120
= 1445+255 – 120
= 1580
c, 2 3 . 17 - 2 3 . 14
= 2 3 . ( 17 - 14 ) = 8.3 = 24
d, 20 – [30 – 5 - 1 2 ]
= 20 – (30 – 16) = 6
a) {132 – [116 – (16 – 8)]:2}.5
= [132 – (116 – 8): 2] .5
= (132 – 108 : 2). 5
= (132 –54).5
= 78.5 = 390
b) 36: {136 : 200 – (12+ 8. 20)]}
= 36: {336 : [200 – ( 12 + 160)]}
= 36 : [336 : ( 200 – 172)
= 36 : ( 336 : 28)
= 36 : 12 = 3
c) 86 – [15. (64 - 39): 75+11]
= 86 – (15.25 : 75 + 11)
= 86 – ( 5 + 11)
= 70.
d) 55 – [49 – (23 . 17 – 23.14)]
= 55 – (49 – 23 .3)
= 55 – ( 49 – 24)
= 30