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2 tháng 4 2020

\(6.\left(-3\right)^2-18:\left(-24\right)+18\)

\(=6.\left(-9\right)-18:\left(-24\right)+18\)

\(=-72:-6\)

\(=12\)

Chúc bạn học tốt !

2 tháng 8 2020

1) \(373737.73-37.737373\)

\(=37.10101.73-37.73.10101\)

\(=0\)

2) \(19.41414141-41.19191919\)

\(=19.41.1010101-41.19.1010101\)

\(=0\)

3) \(123456.456789456789-456789.123456123456\)

\(=123456.456789.1000001-456789.123456.1000001\)

\(=0\)

4) \(250.12.7\)

\(=250.4.3.7\)

\(=\left(250.4\right).\left(3.7\right)\)

\(=1000.21\)

\(=21000\)

5) \(24.125.9\)

\(=3.8.125.9\)

\(=\left(3.9\right).\left(8.125\right)\)

\(=27.1000\)

\(=27000\)

6) \(125.44.18\)

\(=125.4.11.2.9\)

\(=\left(125.4.2\right).\left(11.9\right)\)

\(=1000.99\)

\(=99000\)

7) \(8.24.6+12.4.52+2.22.24\)

\(=48.24+48.52+48.22\)

\(=48\left(24+52+22\right)\)

\(=48.98\)

\(=48\left(100-2\right)\)

\(=48.100-48.2\)

\(=4800-96\)

\(=4704\)

8) \(18.58.2-9.27.4+12.69.3\)

\(=36.58-36.27+36.69\)

\(=36\left(58-27+69\right)\)

\(=36.100=3600\)

9) \(30.85.3+18.72.5-45.37.2-9.20.10\)

\(=90.85+90.72-90.37-90.20\)

\(=90\left(85+72-37-20\right)\)

\(=90.100=9000\)

DD
30 tháng 9 2021

\(D=\frac{6}{15\times18}+\frac{6}{18\times21}+\frac{6}{21\times24}+...+\frac{6}{87\times90}\)

\(=2\times\left(\frac{3}{15\times18}+\frac{3}{18\times21}+...+\frac{3}{87\times90}\right)\)

\(=2\times\left(\frac{18-15}{15\times18}+\frac{21-18}{18\times21}+...+\frac{90-87}{87\times90}\right)\)

\(=2\times\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+...+\frac{1}{87}-\frac{1}{90}\right)\)

\(=2\times\left(\frac{1}{15}-\frac{1}{90}\right)=\frac{1}{9}\)

28 tháng 3 2017

\(s=\frac{6}{15\times18}+\frac{6}{18\times21}+\frac{6}{21\times24}+....+\frac{6}{87\times90}\)

\(s-3=\frac{3}{15\times18}+\frac{3}{18\times21}+\frac{3}{21\times24}+....+\frac{3}{87\times90}\)

\(s-3=\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+\frac{1}{21}-\frac{1}{24}+....+\frac{1}{87}-\frac{1}{90}\)

\(s-3=\frac{1}{15}-\frac{1}{90}\)

\(s-3=\frac{1}{18}\)

\(s=\frac{1}{18}+3\)

\(s=\frac{55}{18}\)

24 tháng 3 2017

\(6.\frac{-5}{18}=\frac{-30}{18}=\frac{-5}{3}\)

\(\frac{-13}{24}+\frac{-5}{21}.\frac{7}{25}=\frac{-13}{24}+\frac{-1}{15}=\frac{-73}{120}\)

\(\frac{-5}{13}-\frac{3}{26}.\frac{-2}{3}=\frac{-5}{13}-\frac{-1}{13}=\frac{-4}{13}\)

\(\left\{\frac{1}{3}+\frac{-7}{6}\right\}.\left\{\frac{3}{8}+\frac{-3}{24}\right\}=\frac{-5}{6}.\frac{1}{4}=\frac{-5}{24}\)

24 tháng 3 2017

=-30/18=5/3

=-13/24+-30/525=

1 tháng 8 2017

Ta có :

 \(\frac{x}{-2}=-\frac{3}{6}\Rightarrow x=\frac{-3.\left(-2\right)}{6}=1\)

\(\frac{-18}{y}=-\frac{3}{6}\Rightarrow y=\frac{-18.6}{-3}=36\)

\(\frac{-z}{24}=-\frac{3}{6}\Rightarrow z=\frac{-3.24}{-6}=12\)

Vậy x = 1 ; y = 36 ; z = 12 

1 tháng 8 2017

Ta có : \(\frac{-3}{6}=\frac{x}{-2}\)=> \(\frac{1}{2}=\frac{x}{2}\) => x = 1

              \(\frac{-3}{6}=\frac{-18}{y}\) => \(\frac{1}{2}=\frac{18}{y}\) => y = 36

              \(\frac{-3}{6}=\frac{-z}{24}\) => \(\frac{1}{2}=\frac{z}{24}\) => z = 12

Vậy ......................

11 tháng 3 2017

X=-1

Y=9

Z=12

31 tháng 7 2017

\(\frac{-3}{6}=\frac{x}{-2}=\frac{-18}{y}=\frac{-z}{24}\)

Ta có : 

\(\frac{x}{-2}=\frac{-3}{6}\Rightarrow x=\frac{-3.\left(-2\right)}{6}=1\)

\(\frac{-18}{y}=\frac{-3}{6}\Rightarrow y=\frac{-18.6}{-3}=36\)

\(\frac{-z}{24}=\frac{-3}{6}\Rightarrow\frac{-3.24}{6.-z}\Rightarrow z=\frac{-3.24}{-6}=12\)