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15.37.4+120.21+21.5.12 16.64+76.34
=15.37.4+(6.7).4.(5.3)+(3.5).(7.3).4 =
=15.37.4+42.4.15+15.21.4
=15.4.(37+42+21)
=60.100
=6000
\(a,2\times31\times12+4\times6\times42+8\times27\times3\)
\(=24\times31+24\times42+24\times27\)
\(=24\times\left(31+42+27\right)\)
\(=24\times100\)
\(=2400\)
\(b,583.931+69.\left(170+583\right)+31.170\)
\(=583.931+69.170+69.583+31.170\)
\(=583.\left(931+69\right)+170.\left(69+31\right)\)
\(=583.1000+170.100\)
\(=583000+17000\)
\(=600000\)
\(c,732.976+24.\left(680+732\right)+76.680\)
\(=732.976+24.680+24.732+76.680\)
\(=732.\left(976+24\right)+680.\left(24+76\right)\)
\(=732.1000+680.100\)
\(=732000+68000\)
\(=800000\)
Học tốt
Đặt A=\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)
=(\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\))+(\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\))+(\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\))+...+\(\dfrac{1}{70}\)
Nhận xét:
\(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{19}\)+\(\dfrac{1}{20}\)>\(\dfrac{1}{20}\)+\(\dfrac{1}{20}\)+...+\(\dfrac{1}{20}\)=\(\dfrac{10}{20}\)=\(\dfrac{1}{2}\)
\(\dfrac{1}{21}\)+\(\dfrac{1}{22}\)+\(\dfrac{1}{23}\)+...+\(\dfrac{1}{29}\)+\(\dfrac{1}{30}\)>\(\dfrac{1}{30}\)+\(\dfrac{1}{30}\)+...+\(\dfrac{1}{30}\)=\(\dfrac{10}{30}\)=\(\dfrac{1}{3}\)
\(\dfrac{1}{31}\)+\(\dfrac{1}{32}\)+\(\dfrac{1}{33}\)+...+\(\dfrac{1}{59}\)+\(\dfrac{1}{60}\)>\(\dfrac{1}{60}\)+\(\dfrac{1}{60}\)+...+\(\dfrac{1}{60}\)=\(\dfrac{30}{60}\)=\(\dfrac{1}{2}\)
=>A>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)+\(\dfrac{1}{61}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{2}\)=\(\dfrac{4}{3}\)
=>A>\(\dfrac{4}{3}\)
Vậy: \(\dfrac{1}{11}\)+\(\dfrac{1}{12}\)+\(\dfrac{1}{13}\)+...+\(\dfrac{1}{69}\)+\(\dfrac{1}{70}\)>\(\dfrac{4}{3}\) (ĐPCM)
Thấy đúng cho 1 tick và 1 follow nha!
Chúc bạn học tốt!
\(Ư\left(1000\right)=\left\{1;2;4;8;10;20;25;40;50;100;125;250;500;1000\right\}\)
ƯC (1000) = { 1, 2, 4, 5, 8, 10, 20, 40, 50, 100, 200, 250, 500, 1000 }. Như vậy có 15 ước.
tk mình nhé! Chúc bạn học giỏi.
\(583.931+69\left(170+583\right)+31.170\)
\(=583.931+69.170+69.583+31.170\)
\(=593\left(931+69\right)+170\left(69+31\right)\)
\(=593.100.10+170.100\)
\(=100\left(593.10+170\right)\)
\(=100.6000=600000\)