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Bài 3: Tính (Tính hợp lí nếu có thể):
a) – (+19) – (-38) + 19 – 58
b) ( 31 + 128 ) – ( 31 – 172 – 54 )
![](https://rs.olm.vn/images/avt/0.png?1311)
a) – (+19) – (-38) + 19 – 58
= 19 - 19 + 38 - 58
= -20
b) ( 31 + 128 ) – ( 31 – 172 – 54 )
= 31 - 31 + 172 + 128 + 54
= 300 + 54 = 354
![](https://rs.olm.vn/images/avt/0.png?1311)
a)29 . (19 – 13) – 19 . (29 – 13)
= 29 . 6 – 19 . 16
= 174 – 304
= –130.
b)31.(-18)+31.(-81)-31
= 31. [-18 + (-81) - 1 ]
= 31. (-100)
= -3100
c)(7.3-3):(-6)
(7.3-3):(-6)
= (21-3):(-6)
= 18 : (-6)
= 3
d)72:[(-6).2+4)]
= 72 : ( -12 + 4 )
= 72 : -8
= -9
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\(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-5}{12}+\frac{3}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-2}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).0\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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a) \(a=\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{37\cdot39}\)
\(a=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{37}-\frac{1}{39}\)
\(a=\frac{1}{3}-\frac{1}{39}\)
\(a=\frac{12}{39}\)
b) \(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-5}{12}+\frac{3}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot\left(\frac{-2}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)\cdot0\)
\(=0\)
a) \(A=\frac{2}{3x5}+\frac{2}{5x7}+\frac{2}{7x9}+...+\frac{2}{37x39}\)
\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{37}-\frac{1}{39}\)
\(A=\frac{1}{3}-\frac{1}{39}\)
\(A=\frac{4}{13}\)
b) \(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)x\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right)x0\)
\(=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=16\frac{3}{31}-\left(\frac{19}{28}-10\frac{3}{31}\right)\)
\(M=16\frac{3}{31}-\frac{19}{28}-10\frac{3}{31}\)
\(M=\left(16\frac{3}{31}-10\frac{3}{31}\right)-\frac{19}{28}\)
\(M=6-\frac{19}{28}=\frac{149}{28}\)
Bấm Đúng cho mình nhé ! ^^
\(M=\left(16\frac{3}{31}-10\frac{3}{31}\right)-\frac{19}{28}\)
\(M=6-\frac{19}{28}\)
\(M=5\frac{28}{28}-\frac{19}{28}\)
\(M=5\frac{9}{28}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
số số hạng là :
`(361 - 1) :6 + 1 = 61 ( số hạng)`
`61 : 2 = 30 (dư 1 nhóm)`
`(1-7) + (13 - 19) + ... +(349 -355) + 361`
`= (-6) + (-6) + ... + -6 + 361`
`= (-6).30 + 361`
`=-180 + 361`
`= 181`
=(1-7)+(13-19)+(25-31)+...+(349-355)+361
=361-6*30
=361-180=181