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a
12 * 13 * 14
= 156 * 14
= 2184
b
67 * 12 +33 * 12
= (67 + 33) * 12
= 100 * 12
= 1200
c
100 * 12 + 100 * 88
= (12+88) * 100
= 100 * 100
= 10000
a . 12 x 13 x 14 b) 67 x 12 + 33 x 12 c) 100 x 12 + 100 x 88
= 156 x 14 = ( 67 + 33 ) x 12 = 100 x ( 12 + 88 )
= 2184 = 100 x 12 = 100 x 100
= 1200 = 10000
\(\dfrac{12}{1\cdot5}+\dfrac{12}{5\cdot9}+...+\dfrac{12}{97\cdot101}\)
\(=3\left(\dfrac{4}{1\cdot5}+\dfrac{4}{5\cdot9}+...+\dfrac{4}{97\cdot101}\right)\)
\(=3\left(1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+...+\dfrac{1}{97}-\dfrac{1}{101}\right)\)
=3*100/101
=300/101
mình học lớp 5 mình cũng giải luôn
12 x 12 x 12 x 12 x 12 = 125
1 x 1 x 1 x 1 x 1 x 1 = 16
3 x 3 x 3 x 3 x 3 x 3 = 36
a ) x ∈ − 3 4 ; 3 4 b ) x ∈ 2 3 ; − 5 3 ; c ) x ∈ − 3 4 ; 5 4 d ) x ∈ 23 4 ; − 17 4
\(\frac{8}{12}\cdot x\cdot4-\frac{18}{12}\cdot x\cdot6=\frac{5}{12}\)
\(x\left(\frac{8}{12}\cdot4-\frac{18}{12}\cdot6\right)=\frac{5}{12}\)
\(x\left(\frac{32}{12}-\frac{108}{12}\right)=\frac{5}{12}\)
\(x\left(-\frac{19}{3}\right)=\frac{5}{12}\)
\(x=\frac{5}{12}\div\left(-\frac{19}{3}\right)=-\frac{5}{76}\)
Vậy \(x=-\frac{5}{76}\)
Chúc bạn học tốt ^^!!!
\(\frac{3}{3.6.9}+\frac{3}{6.9.12}+\frac{3}{9.12.15}+\frac{3}{12.15.18}=\frac{3}{6}\left(\frac{6}{3.6.9}+\frac{6}{6.9.12}+\frac{6}{9.12.15}+\frac{6}{12.15.18}\right)\)
= \(\frac{1}{2}\left(\frac{1}{3.6}-\frac{1}{6.9}+\frac{1}{6.9}-\frac{1}{9.12}+\frac{1}{9.12}-\frac{1}{12.15}+\frac{1}{12.15}-\frac{1}{15.18}\right)\)
\(=\frac{1}{2}\left(\frac{1}{3.6}-\frac{1}{15.18}\right)=\frac{1}{2}.\frac{14}{270}=\frac{7}{270}\)
\(121212:\left(x-2020\right)=12\)
=>x-2020=121212:12=10101
=>x=10101+2020=12121