tính nhanh: 98 . 28 - (184 - 1) . (184 + 1)
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a) \(=\left(127+73\right)^2=200^2=40000\)
b) \(=18^8-\left(18^8-1\right)=1\)
c) \(=\left(100+99\right)\left(100-99\right)+\left(98+97\right)\left(98-97\right)+...+\left(2+1\right)\left(2-1\right)\)
\(=100+99+98+97+...+2+1=5050\)
d) biến đổi thành \(20^2-19^2+18^2-17^2+..+2^2-1^2\)
rồi giải ra như trên
a) 57 + 26 +34 +63 = ( 57 + 63 ) + ( 26 + 34 )
= 120 + 60 = 180
b) 119 + 36 +201+184-37 = ( 119 + 201 ) + ( 36 +184 ) - 37
= 320 + 220 - 37
= 540 - 37 = 503
c) 24 + 25 +26+27+28+29+30+31 = ( 24 +31 ) + ( 25 + 30 ) + ( 26 +29) + ( 27 + 28 )
= 55 x 5 = 275
d) 2 + 4 + 6 + 8 +....+ 98+ 100
= {(100 + 2 ) x [(100 - 2) :2 + 1]} : 2
= 102 x 50 : 2
= 5100 : 2 = 2050
a) =180
b) = 503
c) = 220
d) mình không biết ý d
nhưng bạn k cho mình nha
1: \(347\cdot2^2-2^2\cdot\left(216+184\right):8\)
\(=347\cdot4-4\cdot400:8\)
\(=347\cdot4-4\cdot50=4\cdot\left(347-50\right)=4\cdot297=1188\)
2: \(132-\left\lbrack116-\left(132-128\right)^2\right\rbrack\)
\(=132-\left\lbrack116-4^2\right\rbrack\)
=132-(116-16)
=132-100
=32
3: \(16:\left\lbrace400:\left\lbrack200-\left(37+46\cdot3\right)\right\rbrack\right\rbrace\)
=16:{400:[200-(37+138)]}
=16:{400:[200-175]}
=16:{400:25}
=16:16
=1
4: \(\left\lbrace184:\left\lbrack96-124:31\right\rbrack-2\right\rbrace\cdot3651\)
\(=\left\lbrace\frac{184}{96-4}-2\right\rbrace\cdot3651\)
=(184:92-2)*3651
=0
5: \(46-\left\lbrack\left(16+71\cdot4\right):15\right\rbrack-2\)
=46-[(16+284):15]-2
=46-300:15-2
=46-20-2
=46-22
=24
6: \(3^3\cdot18+72\cdot4^2-41\cdot18\)
\(=18\left(3^3-41\right)+72\cdot16\)
\(=18\cdot\left(27-41\right)+18\cdot64\)
=18(-14+64)
=18*50
=900
7: \(\left(56\cdot46-25\cdot23\right):23\)
\(=56\cdot\frac{46}{23}-25\)
=112-25
=87
8: \(\left(28\cdot54+56\cdot36\right):21:2\)
\(=18\cdot28\left(3+2\cdot2\right):42\)
\(=18\cdot\frac{28}{42}\cdot7=18\cdot\frac23\cdot7=12\cdot7=84\)
9: \(\left(76\cdot34-19\cdot64\right):\left(38\cdot9\right)\)
\(=\frac{19\cdot\left(4\cdot34-64\right)}{38\cdot9}=\frac{4\cdot34-64}{9\cdot2}=\frac{4\cdot\left(34-16\right)}{18}=4\)
10: \(\left(2+4+6+\cdots+100\right)\cdot\left(36\cdot333-108\cdot111\right)\)
\(=\left(2+4+6+\cdots+100\right)\cdot36\cdot111\left(3-3\right)\)
=0
11: \(\left(5\cdot4^{11}-3\cdot16^5\right):4^{10}\)
\(=\left(5\cdot4^{11}-3\cdot4^{10}\right):4^{10}\)
\(=5\cdot\frac{4^{11}}{4^{10}}-3\cdot\frac{4^{10}}{4^{10}}\)
=20-3
=17
12: \(\frac{7256\cdot4375-725}{3650+4375\cdot7255}=\frac{7255\cdot4375+4375-725}{7255\cdot4375+3650}\)
\(=\frac{7255\cdot4375+3650}{7255\cdot4375+3650}\)
=1
1) 2155-(174+2155)+(-68+174-7)-1911-(1234-1911)
=2155-174-2155+(-68)+174-7-1911-1234+1911
=(2155-2155)+(174-174)+(1911-1911)-(68+7+1234)
= 0 + 0 + 0 - 1309
= -1309
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!
98 . 28 - (184 - 1)(184 + 1)
=(9.2)8 - (184 )2 + 12
= 188 - 188 + 1
= 1