35×4:1+100:35:6:5+34
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a) 3 4 : 2 3 : 3 5 = 3 4 . 3 2 . 5 3 = 15 8
b) 3 4 : 2 3 : 3 5 = 3 4 : 2 3 . 5 3 = 3 4 : 10 9 = 3 4 . 9 10 = 27 40
a: =-3/24-40/24
=-43/24
b: \(=\dfrac{6}{54}\cdot\dfrac{49}{35}=\dfrac{1}{9}\cdot\dfrac{7}{5}=\dfrac{7}{45}\)
c: \(=\dfrac{6}{5}+\dfrac{4}{3}=\dfrac{18+20}{15}=\dfrac{38}{15}\)
d: \(=\dfrac{31}{17}-\dfrac{14}{17}-\dfrac{5}{13}-\dfrac{8}{13}=1-1=0\)
b: \(1024:2^5+140:\left(38+2^5\right)+2\cdot3^2-7^{23}:7^{21}\)
\(=1024:32+140:\left(38+32\right)+2\cdot9-7^2\)
=32+140:70+18-49
=50-49+2
=1+2
=3
c: \(100:\left\lbrace300:\left\lbrack450-\left(4\cdot5^3-2^3\cdot25\right)\right\rbrack\right\rbrace\)
\(=100:\left\lbrace300:\left\lbrack450-\left(4\cdot125-8\cdot25\right)\right\rbrack\right\rbrace\)
\(=100:\left\lbrace300:\left\lbrack450-\left(500-200\right)\right\rbrack\right\rbrace\)
=100:{300:[450-300]}
=100:{300:150}
=100:2
=50
Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
= 29+(132+858)+(237+3)
=29+990+240
=1259
a) − 1 10 + 3 5 + − 1 2 = − 1 10 + 6 10 + − 5 10 = 0
b)
3 8 + − 3 4 + 7 12 : 5 6 + 1 2 = 9 24 + − 18 24 + 14 24 : 5 6 + 1 2 = 5 24 ⋅ 6 5 + 1 2 = 1 4 + 1 2 = 3 4
35 x 4 : 1 + 100 : 35 : 6 : 5 + 34
= 140 : 1 + \(\frac{20}{7}\) : 6 : 5 + 34
= 140 + \(\frac{10}{21}\) : 5 + 34
= (140 + 34) + \(\frac{2}{21}\)
= 174 + \(\frac{2}{21}\)
= \(\frac{3654}{21}\) + \(\frac{2}{21}\)
= \(\frac{3656}{21}\)