thực hiện phép tính : 3/200 - 3/110-3/90-3/72-3/72-3/56-...-3/2
tính nhanh:3/12+3/20+3/30+3/42+3/56+3/72+3/90+3/110
\(\frac{3}{12}+\frac{3}{20}+\frac{3}{30}+...+\frac{3}{110}\)
\(=3\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{110}\right)\)
\(=3\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{10\cdot11}\right)\)
\(=3\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{10}-\frac{1}{11}\right)\)
\(=3\left(\frac{1}{3}-\frac{1}{11}\right)\)
\(=3\cdot\frac{8}{33}=\frac{8}{11}\)
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tính nhanh:3/12+3/20+3/30+3/42+3/56+3/72+3/90+3/110
= 3.(1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110)
= 3.8/33
= 8/11
tính nhanh:
3/12+3/20+3/30+3/42+3/56+3/72+3/90+3/110
\(\frac{3}{12}+\frac{3}{20}+\frac{3}{30}+\frac{3}{42}+\frac{3}{56}+\frac{3}{72}+\frac{3}{90}+\frac{3}{110}\)
\(=\frac{3}{3\cdot4}+\frac{3}{4\cdot5}+\frac{3}{5\cdot6}+\frac{3}{6\cdot7}+\frac{3}{7\cdot8}+\frac{3}{8\cdot7}+\frac{3}{8\cdot9}+\frac{3}{9\cdot10}+\frac{3}{10\cdot11}\)
\(=3\cdot\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}+\frac{1}{10\cdot11}\right)\)
\(=3\cdot\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{10}-\frac{1}{11}\right)\)
\(=3\cdot\left(\frac{1}{3}-\frac{1}{11}\right)\)
\(=3\cdot\left(\frac{11}{33}-\frac{3}{33}\right)\)
\(=3\cdot\frac{8}{33}\)
\(=\frac{24}{33}\)
\(=\frac{8}{11}\)
câu 1: thực hiện phép tính bằng cách hợp lý nhất
a) 1/3 + (-3/4) + 3/5 +1/57+ (-1/36) +1/15 + (-2/9)
b) (1-1/2) . (1-1/3) . (1-1/4)..........(1-1/1999) . (1-1/2000)
c) 1/20+ 1/30+ 1/42+ 1/56+ 1/72+1/90+1/110
câu 2 : tìm x biết
a) (11/12+11/12.23 + 11/ 23.34 + 11/34.45+..........+ 11/89.100) +x=2/3
\(\frac{3}{30}+\frac{3}{42}+\frac{3}{56}+\frac{3}{72}+\frac{3}{90}+\frac{3}{110}+\frac{3}{132}=\frac{1}{6}X\)
\(\frac{3}{5.6}+\frac{3}{6.7}+......+\frac{3}{11.12}=\frac{1}{6}X\)
\(\Rightarrow3.\left(\frac{1}{5.6}+\frac{1}{6.7}+....+\frac{1}{11.12}\right)=\frac{1}{6}X\)
\(\Rightarrow3.\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+.....+\frac{1}{11}-\frac{1}{12}\right)=\frac{1}{6}X\)
\(\Rightarrow3.\left(\frac{1}{5}-\frac{1}{12}\right)=\frac{1}{6}X\)
\(\Rightarrow3.\frac{7}{60}=\frac{1}{6}X\)
\(\Rightarrow\frac{21}{60}=\frac{1}{6}X\)
\(\Rightarrow X=\frac{21}{60}\div\frac{1}{6}=\frac{21}{10}\)
Vậy \(X=\frac{21}{10}\)
bài 1 : 101 x 125 + 101 x 25 - 101 x 50
bài 2 : 76 x 115 + 56 x 24 + 59 x 24
bài 3 : thực hiện phép tính : a ) 90-84+ 8 - 72 +66-60+54-48
b ) 99-97+95-93+91-89+.........+7-5+3-1
bài 4 : tìm số tự nhiên x biết :
a) \(x\) x 16 -\(x\) x 9 = 56
bài 5 :tìm số tự nhiên x , biết
a) \(x\) + 2 x \(x\) +3 x \(x\)+4 x \(x\) +5 x \(x\) = 165
b ) 1+2+3+4+.....+\(x\)=55
GIẢI GIÚP E Ạ
Bài 1:
\(101\cdot125+101\cdot25-101\cdot50\)
\(=101\cdot\left(125+25-50\right)\)
\(=101\cdot100\)
\(=10100\)
Bài 2:
\(76\cdot115+56\cdot24+59\cdot24\)
\(=76\cdot115+24\cdot\left(56+59\right)\)
\(=76\cdot115+24\cdot115\)
\(=115\cdot\left(76+24\right)\)
\(=115\cdot100\)
\(=11500\)
5:
a: =>15x=165
=>x=11
b: =>x(x+1)/2=55
=>x^2+x=110
=>x=10
4: =>7x=56
=>x=8
Bài 1:
101•125+101•25+101•50
= 101•(125+25-50)
=101•100
=10100
Bài 2:
76•115+56•24+59•24
= 76•115+24•(56+59)
= 76•115+24•115
= 115•(76+24)
= 115•100
= 11500
Thực hiện phép tính: (Tính nhanh nếu có thế)
1) 347.222-222.(216+184):8
2) 132-[116-(132-128)22]
3) 16:{400:[200-(37+46.3)]}
4) {184:[96-124:31]-2}.3651
5) ) 46 – [ (16 + 71 . 4 ) : 15 ]} – 2
6) 33.18 + 72 .42 – 41 .18
7)( 56 . 46 – 25 . 23 ) : 23
8) ( 28 . 54 + 56 . 36 ) : 21 : 2
9) ( 76 . 34 – 19 . 64 ) : ( 38 . 9 )
10) ( 2+ 4 + 6 + ….. + 100 ) . ( 36 . 333 – 108 . 111)
11) ( 5 . 411- 3 .165 ): 410
12) 7256.4375−725/3650+4375.7255
Giải;
1) \(347.222-222.\left(216+184\right):8\)
\(=347.222-222.400:8\)
\(=347.222-222.50\)
\(=222.\left(347-50\right)\)
\(=222.297\)
\(=65934\)
2) \(132-\left[116-\left(132-128\right).22\right]\)
\(=132-\left[116-4.22\right]\)
\(=132-\left[116-88\right]\)
\(=132-28\)
\(=104\)
3) \(16:\left\{400:\left[200-\left(37+46.3\right)\right]\right\}\)
\(=16:\left\{400:\left[200-\left(37+138\right)\right]\right\}\)
\(=16:\left\{400:\left[200-175\right]\right\}\)
\(=16:\left\{400:25\right\}\)
\(=16:16\)
\(=1\)
4) \(\left\{184:\left[96-124:31\right]-2\right\}.3651\)
\(=\left\{184:\left[96-4\right]-2\right\}.3651\)
\(=\left\{184:92-2\right\}.3651\)
\(=\left\{2-2\right\}.3651\)
\(=0.3651\)
\(=0\)
5) \(46-\left[\left(16+71.4\right):15\right]-2\)
\(=46-\left[\left(16+284\right):15\right]-2\)
\(=46-\left[300:15\right]-2\)
\(=46-20-2\)
\(=24\)
6) \(3^3.18+72.4^2-41.18\)
\(=18.\left(27-41\right)+72.16\)
\(=18.-14+1152\)
\(=-252+1152\)
\(=900\)
Giải: (tiếp)
7) \(\left(56.46-25.23\right):23\)
\(=\left(2576-575\right):23\)
\(=2001:23\)
\(=87\)
8) \(\left(28.54+56.36\right):21:2\)
\(=\left(1512+2016\right):21:2\)
\(=3528:21:2\)
\(=84\)
9) \(\left(76.34-19.64\right):\left(38.9\right)\)
\(=\left(2584-1216\right):342\)
\(=1368:342\)
\(=4\)
10) \(\left(2+4+6+...+100\right).\left(36.333-108.111\right)\)
\(=\left(2+4+6+...+100\right).\left(11988-11988\right)\)
\(=\left(2+4+6+...+100\right).0\)
\(=0\)
11) \(\left(5.4^{11}-3.16^5\right):4^{10}\)
\(=5.4^{11}:4^{10}-3.16^5:4^{10}\)
\(=5.4-3.1\)
\(=20-3\)
\(=17\)
12) \(7256.4375-725:3650+4375.7255\)
\(=4375.\left(7256+7255\right)-\dfrac{29}{146}\)
\(=4375.14511-\dfrac{29}{146}\)
\(=63485624,8\)
Câu 12 ko chắc!
Thực hiện phép tính: (Tính nhanh nếu có thế)
1) 347.2\(^2\)-2\(^2\).(216+184):8
2) 132-[116-(132-128)\(^2\)]
3) 16:{400:[200-(37+46.3)]}
4) {184:[96-124:31]-2}.3651
5) ) 46 – [ (16 + 71 . 4 ) : 15 ]} – 2
6) 33.18 + 72 .42 – 41 .18
7)( 56 . 46 – 25 . 23 ) : 23
8) ( 28 . 54 + 56 . 36 ) : 21 : 2
9) ( 76 . 34 – 19 . 64 ) : ( 38 . 9 )
10) ( 2+ 4 + 6 + ….. + 100 ) . ( 36 . 333 – 108 . 111)
11) ( 5 . 411- 3 .165 ): 410
12) \(\dfrac{7256.4375-725}{3650+4375.7255}\)
Thực hiện phép tính
\(\frac{\frac{3}{7}-\frac{3}{28}-\frac{3}{56}}{\frac{-3}{2}+\frac{3}{8} +\frac{3}{16}}-\frac{\frac{3}{6}-\left(-\frac{3}{36}\right)+\frac{3}{72}}{\frac{-9}{8}-\frac{9}{48}-\frac{9}{96}}+1\frac{59}{60}+0,01\left(6\right)\)