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b:\(1+2+3+...+n=\dfrac{n\left(n+1\right)}{2}\)
c: \(1+3+5+...+37\)
Số số hạng là:
(37-1):2+1=19(số)
Tổng là: \(\dfrac{38\cdot19}{2}=19\cdot19=361\)
Đặt `A=30-15+36-18+42-21+.....+96-48+102-51`
`=15+18+21+.....+48+51`
K/c mỗi số là 3 đơn vị.
Tổng có số số hạng là:
`(51-15):3+1=13` số
`=>A=(13.(15+51))/2=13.33=429`
\(30-15+36-18+42-21+...+96-48+102-51\)
\(=\left(30-15\right)+\left(36-18\right)+\left(42-21\right)+...+\left(96-48\right)+\left(102-51\right)\)
\(=15+18+21+...+48+51\)
Số số hạng của \(\left(15+18+21+...+48+51\right)\) là:
\(\left(51-15\right):3+1=13\)
Tổng dãy \(\left(15+18+21+...+48+51\right)\) là:
\(\left(15+51\right).13:2=429\)
\(\frac{4,29.1230-429.2,3}{30-15+36-18+...+102-51}=\frac{4,29.1230-4,29.230}{10+18+...+51}=\frac{4,29.\left(1230-230\right)}{\left(51+10\right).\left(51-10+1\right):2}\)
\(=\frac{4290}{429}=10\)
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!
d)102−96+90−84+78−72+66−60+54−48
=(102−72)−(96−66)+(90−60)−(84−54)+(78−48)
=30−30+30−30+30
=30
nha bạn chúc bạn học tốt ạ
