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2B = 2^2 +3^2+4^2 + ....+51^2
2B-B= 2^2+3^2+4^2+....+51^2 - 1^2 +2^2 + 3^2 +....+50^2
B= 51^2-1^2
= 50^2
=2500
2C = 3^2+4^2+......+ 51^2
2C-C= 3^2+4^2+....+51^2-2^2+3^2+.....+50^2
C= 51^2-2^2
C= 49^2
2D=2^2+3^2+4^2+......+ 50^2
2D-D= 2^2+3^2+......+50^2-1^2+2^2+....+49^2
D= 50^2- 1^2
D= 49^2
a) 960 -[ 50. ( 20 -8 : 2 + 22 )]
= 960 -[ 50. ( 20 -8 : 2 + 4)]
= 960 -[ 50. ( 20 -4+ 4)]
= 960 -[ 50. (16+ 4)]
= 960 -[ 50.20]
= 960 -1000
= -40
b) 28 : 24 + 32 . 33
= 1,166666667+1056
= 1057,166667
c) 56 : 53 + 32 . 33
= 1,056603774+1056
= 1057,056604
d) 136.68 + 16.272
= 9248 + 4352
= 13600
e) 36.333 - 108.111
= 11988 - 11988
= 0
Mình không giỏi môn toán cho lắm, nếu mình làm sai thì thôi nha!
a) 960 - {50 . [(20 - 8 : 2 + 22 )]}
= 960 - { 50 . [( 20 - 8 : 2 + 4 )]}
= 960 - { 50 . [( 20 - 4 + 4 )]}
= 960 - { 50 . [( 16 + 4 )]}
= 960 - { 50 . 20 }
= 960 - 1000
= - 40
b) 28 : 24 + 32 . 33
= 256 : 16 + 9 . 27
= 16 + 243
= 259
c) 56 : 53 + 32 . 33
= 15625 :125 + 9 . 27
= 125 + 243
= 363
d) 136 . 68 + 16 . 272
= 9248 + 4352
= 13600
e) 36 . 333 - 108 . 111
= 11983 - 11983
= 0
\(a)47-\left[\left(45.2^4-5^2.12\right):14\right]\)
\(=47-\left[\left(45.16-25.12\right):14\right]\)
\(=47-\left[\left(720-300\right):14\right]\)
\(=47-\left[420:14\right]\)
\(=47-30\)
\(=17\)
\(b)50-\left[\left(20-2^3\right):2+34\right]\)
\(=50-\left[\left(20-8\right)\right]:2+34\)
\(=50-\left[12:2+34\right]\)
\(=50-\left[6+34\right]\)
\(=50-40\)
\(=10\)
\(c)10^2-\left[60:\left(5^6:5^4-3,5\right)\right]\)
\(=10^2-\left[60:\left(5^2-3,5\right)\right]\)
\(=10^2-\left[60:\left(25-3,5\right)\right]\)
\(=10^2-\left[60:21,5\right]\)
\(=100-\dfrac{120}{43}\)
\(=\dfrac{4180}{43}\)
\(d)50-\left[\left(50-2^3.5\right):2+3\right]\)
\(=50-\left[\left(50-8.5\right):2+3\right]\)
\(=50-\left[\left(50-40\right):2+3\right]\)
\(=50-\left[10:2+3\right]\)
\(=50-5+3\)
\(=50-8\)
\(=42\)
\(e)10-\left[\left(8^2-48\right).5+\left(2^3.10+8\right)\right]:28\)
\(=10-\left[\left(64-48\right).5+\left(8.10+8\right)\right]:28\)
\(=10-\left[16.5+\left(80+8\right)\right]:28\)
\(=10-\left[80+88\right]:28\)
\(=10-168:28\)
\(=10-6\)
\(=4\)
\(f)8697-\left[3^7:3^5+2.\left(13-3\right)\right]\)
\(=8697-\left[3^2+2.\left(13-3\right)\right]\)
\(=8697-\left[9+2.10\right]\)
\(=8697-9+20\)
\(=8697-29\)
\(=8668\)
\(g)2011+5\left[300-\left(17-7\right)^2\right]\)
\(=2011+5.\left[300-10^2\right]\)
\(=2011+5.\left[300-100\right]\)
\(=2011+5.200\)
\(=2011+1000\)
\(=3011\)
\(h)695-\left[200+\left(11-1\right)^2\right]\)
\(=695-\left[200+10^2\right]\)
\(=695-200+100\)
\(=695-300\)
\(=395\)
\(i)129-5\left[29-\left(6-1\right)^2\right]\)
\(=129-5\left[29-5^2\right]\)
\(=129-5\left[29-25\right]\)
\(=129-5.4\)
\(=129-20\)
\(=109\)
a) 12 - (8 . 22 - 4 . 23)
= 12 - (4 . 2 . 22 - 4 . 23)
= 12 - (4 . 23 - 4 . 23)
= 12 - 0
= 12
b) 56 : 54 + 22 . 23
= 52 + 25
= 25 + 32
= 57
c) 28 . 76 + 35 . 28 - 11 . 28
= 28 (76 + 35 - 28)
= 28 .100
= 2800
d) 3. 42 - 62 :2
= 3. 16 - 36 :2
= 48 - 18
= 30
e) 13 . 42 + 13 . 58 - 50 : (32 + 42)
= 13 . 42 + 13 . 58 - 50 : (9+ 16)
= 13 . (42 + 58) - 50 : (9+ 16)
= 13 .100 - 50 : 25
= 1300 - 2
= 1298
g) 34 : 32 + 2 . 23
= 32 + 24
= 9 + 16
= 25
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