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\(\left(4+6+8+10+...+2012\right)\cdot\frac{1}{1000}\cdot\left(\frac{1}{2}+\frac{3}{4}+\frac{5}{6}\right)\)

\(\text{Đặt A = 4 + 6 + 8 + 10 + ... + 2012 }\)

SSH của A là : (2012 - 4) : 4 + 1  = 503 (sh) 

Tổng A là : (4 + 2012) . 503 : 2 = 507024 

Thay A vào bt ta đc : \(507024\cdot\frac{1}{1000}\cdot\left(\frac{1}{2}+\frac{3}{4}+\frac{5}{6}\right)\)

\(=507024\cdot\frac{1}{1000}\cdot\frac{25}{12}\)

\(=507024\cdot\frac{1}{480}=\frac{10563}{10}=1056,3\)

28 tháng 12 2016

(1 +  1 +  1)! = 6

2 +  2  + 2  = 6 

3 *  3  - 3  =6 

5 +  5 /  5  = 6

6 +  6  - 6  = 6

7  + 7 /  7  = 6

mình biết chừng đó thoy

28 tháng 12 2016

(1+1+1)!=6

2+2+2=6

3*3-3=6

căn4+ căn+ căn 4=6

căn9*căn9-căn9=6

c

16 tháng 8 2017

155 nha bn

16 tháng 8 2017

155 nha bạn , k cho mình nha

30 tháng 12 2022

Số số hạng là (2012-4):4+1=503(số)

=>\(A=503\cdot\dfrac{\left(2012+4\right)}{2}\cdot\dfrac{1}{1000}\cdot\dfrac{6+9+10}{12}\)

\(=503\cdot1008\cdot\dfrac{1}{1000}\cdot\dfrac{25}{12}=\dfrac{21}{10}\cdot503=\dfrac{10563}{10}\)

a) Ta có: \(\dfrac{-5}{7}\left(\dfrac{14}{5}-\dfrac{7}{10}\right):\left|-\dfrac{2}{3}\right|-\dfrac{3}{4}\left(\dfrac{8}{9}+\dfrac{16}{3}\right)+\dfrac{10}{3}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)\)

\(=\dfrac{-5}{7}\cdot\dfrac{3}{2}\cdot\dfrac{21}{10}-\dfrac{3}{4}\cdot\dfrac{56}{3}+\dfrac{10}{3}\cdot\dfrac{8}{15}\)

\(=\dfrac{-9}{4}-14+\dfrac{16}{9}\)

\(=\dfrac{-1621}{126}\)

b) Ta có: \(\dfrac{17}{-26}\cdot\left(\dfrac{1}{6}-\dfrac{5}{3}\right):\dfrac{17}{13}-\dfrac{20}{3}\left(\dfrac{2}{5}-\dfrac{1}{4}\right)+\dfrac{2}{3}\left(\dfrac{6}{5}-\dfrac{9}{2}\right)\)

\(=\dfrac{-17}{26}\cdot\dfrac{13}{17}\cdot\dfrac{-3}{2}-\dfrac{20}{3}\cdot\dfrac{3}{20}+\dfrac{2}{3}\cdot\dfrac{-33}{10}\)

\(=\dfrac{3}{4}-1-\dfrac{11}{5}\)

\(=-\dfrac{49}{20}\)

5: \(=3-\dfrac{1}{4}+\dfrac{2}{3}-5+\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\)

\(=3-5-6+\dfrac{-1}{4}+\dfrac{7}{4}+\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{6}{5}-\dfrac{3}{2}\)

\(=-8+\dfrac{3}{2}+1+\dfrac{-3}{10}\)

\(=-7+\dfrac{15-3}{10}=-7+\dfrac{6}{5}=-\dfrac{29}{5}\)

6: \(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)

\(=6-5-3-\dfrac{2}{3}-\dfrac{5}{3}+\dfrac{7}{3}+\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\)

\(=-2-\dfrac{1}{2}=-\dfrac{5}{2}\)

7: \(=\dfrac{5}{3}-\dfrac{3}{7}+9-2-\dfrac{5}{7}+\dfrac{2}{3}+\dfrac{8}{7}-\dfrac{4}{3}-10\)

\(=9-2-10+\dfrac{5}{3}+\dfrac{2}{3}-\dfrac{4}{3}+\dfrac{-3}{7}-\dfrac{5}{7}+\dfrac{8}{7}\)

=-3+1

=-2

8: \(=8-\dfrac{9}{4}+\dfrac{2}{7}+6+\dfrac{3}{7}-\dfrac{5}{4}-3-\dfrac{2}{4}+\dfrac{9}{7}\)

\(=8+6-3+\dfrac{2}{7}+\dfrac{3}{7}+\dfrac{9}{7}-1-\dfrac{2}{4}\)

\(=11+2-1-\dfrac{1}{2}\)

=11+1/2

=11,5