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a) 2.25.9.4
b)35.112-12.35+50
c)16+(516 : 514 - 90)
d) 24.7 - [181 - ( 13 - 4)2 ]
a: \(2\cdot25\cdot9\cdot4=25\cdot4\cdot9\cdot2=18\cdot100=1800\)
b: \(35\cdot112-12\cdot35+50\)
\(=35\left(112-12\right)+50\)
=3500+50
=3550
c: \(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+5^2-1\)
=25+15
=40
d: \(24\cdot7-\left[181-\left(13-4\right)^2\right]\)
\(=168-181+9^2\)
=81-13
=68
a)2.25.9.4
=(25.4).(9.2)
=100.18
1800
b)35.112-12.35+50
=35.(112-12)+50
=35.100+50
=3500+50
=3550
c)\(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+\left(5^2-9^0\right)\)
\(=16+\left(25-1\right)\)
\(=16+24\)
\(=40\)
d)\(24.7-[181-\left(13-4\right)^2]\)
\(=24.7-[181-9^2]\)
\(=24.7-[181-81]\)
\(=24.7-100\)
\(=168-100\)
\(=68\)
a: \(274+351+126-151\)
\(=274+126+351-151\)
=400+200
=600
b: \(5^7:5^5\cdot3\cdot7\cdot4\)
\(=5^2\cdot21\cdot4\)
\(=21\cdot100=2100\)
c: \(164\cdot27+164\cdot73-400\)
\(=164\left(27+73\right)-400\)
=16400-400
=16000
d: \(300-2\cdot\left[\left(6^2-32\right):2^2+99\right]\)
\(=300-2\left[\dfrac{\left(36-32\right)}{4}+99\right]\)
=300-200
=100
a) -87 + (-12) - (-487) + 512
= [-87 - (-487)] + [(-12) + 512]
= 400 + 500
=900
b) 942 - 2567 + 2563 -1942
= (942 - 1942) + (-2567 + 2563)
= -1000 + (-4)
=-1004
c)[ 53 + (-76) ] - [ -76 - (-53) ]
= 53 + (-76) + 76 -53
= (53 - 53) + [(-76) + 76]
=0 + 0
=0
a) 2011 + 5 . [300- ( 18- 8)2]
= 2011 + 5. ( 300 - 102)
= 2011 + 5. 200
= 3011
b) Số số hạng trong tổng trên là:
( 99 - 1) ; 2 = 1 = 50 (số)
99 + 97 = … = 3 + 1
= ( 99 + 1) . 50 : 2
= 2500
c) Số số hạng trong tổngtrên là:
( 100 - 1) : 3 + 1 = 34 ( số)
100 + 97 + 94 + …+ 4 = 1
= ( 100 + 1) . 34 : 2=1717
d) 99 - 97 + 95 - 93 + … + 3 - 1
= 2 + 2 + 2 + … + 2
= 2. 25
= 50
e) 100 - 97 + 94 - …+ 4 - 1
= 3 + 3 + 3 + … + 3
= 3. 17
= 51
\(27.332+93.43+57.61+69.57\\ =27.332+93.43+57.\left(61+69\right)\\ =27.332+93.43+57.130\\ =8964+3999+7410=20373\\ 34.75+75.66-65.100\\ =\left(34+66\right).75-65.100\\ =100.75-65.100\\ =100.\left(75-65\right)\\ =100.10=1000\\ \left(456.11+912\right).37:13:74\\ =5928:13:\left(74:37\right)\\ =456:2=228\\ 6^2:4.3+2.5^2\\ =36:4.3+2.25\\ =9.3+50=27+50=77\\ 5.4^2-18:3^2\\ =5.16-18:9\\ =80-2=78\\\left[\left(315+372\right).3+\left(372+315\right).7\right]:\left(26.13+74.14\right)\\ =687.\left(3+7\right):\left(338+1036\right)\\ 687.10:1374\\ =6870:1374=5\\ 12:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\\ =12:\left[390:\left(500-370\right)\right]\\ =12:\left(390:130\right)=12:3=4\\ 192000-\left(1500.2+1800.3+1800.2:3\right)\\ =192000-\left(3000+5400+1200\right)\\ =192000-9600=182400\)
a, 4 . 24 . 5 2 - 3 3 . 18 + 3 3 . 12
= 100.24–27.30
= 2400 – 810
= 1590
b, 2 3 . 7 . 5 3 - 5 2 . 65 + 5 2 . 35
= 7.1000 – 25.100
= 7000 – 2500
= 4500
c, 2 2 . 74 . 5 2 + 5 2 . 26 . 4 - 7000
= 100.74 + 100.26 – 70.100
= 100.(74+26–70)
= 100.30
= 3000
d, 55 . 2 2 . 5 + 4 . 89 . 5 2 - 3 2 . 10 3
= 25.4.11 + 4.25.89 – 90.100
= 100.11 + 100.89 – 100.90
= 100.(11+89–90)
= 100.10
= 1000
e, [(315+372).3+(372+315).7]:(26.13+74.13+74)
= [687.3+687.7]:(13.(26+74)+74)
= (687.10):(13.100+74)
= 6870:1374
= 5
Lời giải:
a. $=(36+76)-89-(44+56)$
$=112-89-100=12-89=-(89-12)=-77$
b. $=342-567-642+767-458$
$=(342-642)+(767-567)-458=-300+200-458=-100-458=-(100+458)=-558$
c. $=1892-892+852-300-852$
$=(1892-892)+(852-852)-300=1000+0-300=700$
d.
$=472-281-513-372+181-487$
$=(472-372)-(281-181)-(513+487)$
$=100-100-1000=-1000$
e.
$=912-1268-812+1368-100$
$=(912-812)+(1368-1268)-100=100+100-100=100$