Tính giá trị biểu thức
a) 50+3×(25-16)2+150
b) 22×52-35÷32
c) 80-[130-(12-4)2]
d) 100 : { 2×[52-35-8)]}
e) 24 : {300÷[375-(150+15×5)]}
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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
a) 6857 + 3444 : 28
=6857 + 123
=6980
b) 80 - [ 130 - ( 75 - 11 ) ]
=80 - [ 130 - 64 ]
=80 - 66
=14
c) 100 : { 2 x [ 52 - ( 35 - 8 ) ]}
=100 : { 2 x [ 52 - 27 ]}
=100 : { 2 x 25 }
=100 : 50
=2
d) 12 : { 390 : [ 500 - ( 125 + 35 + 7 x 30 ) ] }
=12 : { 390 : [ 500 - ( 125 + 35 + 210 ) ] }
=12 : { 390 : [ 500 - 370 ] }
=12 : { 390 : 130 }
=12 : 3
=4
a) 6857 + 3444 : 28
=6857 + 123
=6980
b) 80 - [ 130 - ( 75 - 11 ) ]
=80 - [ 130 - 64 ]
=80 - 66
=14
c) 100 : { 2 x [ 52 - ( 35 - 8 ) ]}
=100 : { 2 x [ 52 - 27 ]}
=100 : { 2 x 25 }
=100 : 50
=2
d) 12 : { 390 : [ 500 - ( 125 + 35 + 7 x 30 ) ] }
=12 : { 390 : [ 500 - ( 125 + 35 + 210 ) ] }
=12 : { 390 : [ 500 - 370 ] }
=12 : { 390 : 130 }
=12 : 3
=4
\(B=\frac{1}{1\cdot2\cdot3}+\frac{1}{2\cdot3\cdot4}+\frac{1}{3\cdot4\cdot5}+\frac{1}{18\cdot19\cdot20}\)
\(B=\frac{1}{2}\left(\frac{2}{1\cdot2\cdot3}+\frac{2}{2\cdot3\cdot4}+\frac{2}{3\cdot4\cdot5}+\frac{2}{18\cdot19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{2\cdot3}-\frac{1}{3\cdot4}+\frac{1}{3\cdot4}-\frac{1}{4\cdot5}+...+\frac{1}{18\cdot19}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\cdot\frac{189}{380}=\frac{189}{760}\)
\(C=\frac{52}{1\cdot6}+\frac{52}{6\cdot11}+\frac{52}{11\cdot16}+...+\frac{52}{31\cdot36}\)
\(C=\frac{52}{5}\left(\frac{5}{1\cdot6}+\frac{5}{6\cdot11}+\frac{5}{11\cdot16}+...+\frac{6}{31\cdot36}\right)\)
\(C=\frac{52}{5}\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{31}-\frac{1}{36}\right)\)
\(C=\frac{52}{5}\cdot\left(1-\frac{1}{36}\right)\)
\(C=\frac{91}{9}\)
dễ nhất là làm theo trật tự nha bạn !
a) 50+3x(25-16)2+150
=50+3x92+1
=50+3x81+1
=50+243+1
=294
b)22x52-35/32
=(2x5)2-35-2
=102-33
=100-27
=73
c)80-[130-(12-4)2 ]
=80-[130-82 ]
=80-[130-64]
=80-66
=14
d)100:[2x(52-35-8)]
=100:[2x9]
=100:18
=100/18
e)24:{300:[375-(150+15x5)]}
=24:{300:[375-(150+75)]}
=24:{300:[375-225]}
=24:{300:50}
=24:6
=4