ta có 

A=1-2+3-4+5-6+7-8+9-10+11-12+13-14+15-16+17-18+19-20

A=(1-2)+(3-4)+(5-6)+(7-8)+(9-10)+(11-12)+(13-14)+(15-16)+(17-18)+(19-20)

A= (-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)

A= (-1)x10

A=(-10)

Vậy A= (-10)

có số số hạng là: (20-1):1+1=20(số)

ta nhóm 2 số làm một nhóm khi đó được: 20:2=10(nhóm)

tổng mỗi nhóm là: 1-2=-1

                                3-4=-1

                               ........

tổng sau là: (-1)x10=-10

Đề bài : 

Tính tổng sau : 

A=1-2+3-4+5-6+7-8+9-10+11-12+13-14+15-16+17-18+19-20.

 Ta làm :

 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + 9 - 10 + 11 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19 - 20 

= -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 

= -1 x 10 

= -10

Vậy A = -10 .

Bài 1: 

a: \(\dfrac{25}{42}-\dfrac{20}{63}=\dfrac{75-40}{126}=\dfrac{35}{126}=\dfrac{5}{18}\)

b: \(\dfrac{9}{20}-\dfrac{13}{75}-\dfrac{1}{6}=\dfrac{135}{300}-\dfrac{52}{300}-\dfrac{50}{300}=\dfrac{33}{300}=\dfrac{11}{100}\)

a; - \(\dfrac{10}{13}\) + \(\dfrac{5}{17}\) - \(\dfrac{3}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{11}{20}\)

= - (\(\dfrac{10}{13}\) + \(\dfrac{3}{13}\)) + (\(\dfrac{5}{17}\) + \(\dfrac{12}{17}\)) - \(\dfrac{11}{20}\)

= - 1 + 1  - \(\dfrac{11}{20}\)

=   0 - \(\dfrac{11}{20}\)

= - \(\dfrac{11}{20}\)

b; \(\dfrac{3}{4}\) + \(\dfrac{-5}{6}\) - \(\dfrac{11}{-12}\)

= \(\dfrac{9}{12}\) - \(\dfrac{10}{12}\) + \(\dfrac{11}{12}\)

= \(\dfrac{10}{12}\)

= \(\dfrac{5}{6}\)

c; [13.\(\dfrac{4}{9}\) + 2.\(\dfrac{1}{9}\)] - 3.\(\dfrac{4}{9}\)

= [\(\dfrac{52}{9}\) + \(\dfrac{2}{9}\)] - \(\dfrac{4}{3}\)

= \(\dfrac{54}{9}\) - \(\dfrac{4}{3}\)

= \(\dfrac{14}{3}\)

d; 1,25 : \(\dfrac{15}{20}\) + [25% - \(\dfrac{5}{6}\)] : 4.\(\dfrac{2}{3}\)

= 1,25  x \(\dfrac{20}{15}\) + [\(\dfrac{1}{4}\) - \(\dfrac{5}{6}\)] : 4.\(\dfrac{2}{3}\)

=  \(\dfrac{5}{3}\) - \(\dfrac{7}{12}\) : 4 x \(\dfrac{2}{3}\)

= \(\dfrac{5}{3}\) - \(\dfrac{7}{48}\).\(\dfrac{2}{3}\)

= \(\dfrac{5}{3}\) - \(\dfrac{7}{72}\)

= \(\dfrac{113}{72}\)

a/ 1 + (-4) + 2 + (-5) + 3 + (-6) + ... + 17 + (-20)

= [1 + (-4)] + [2 + (-5)] + [3 + (-6)] + ... + [17 + (-20)]

= (-3) + (-3) + (-3) + ... + (-3)

= (-3) . 17

= -51

b/ 1 - 3 + 2 - 4 + 3 - 6 + ... + 20 - 23

= (1 - 3) + (2 - 4) + (3 - 6) + ... + (20 - 23)

= (-2) + (-2) + (-2) + ... + (-2)

= (-2) . 20

= -40

a) - 10 b) - 1009

a: =11+3/4-6-5/6+4+1/2+1+2/3

=10+9/12-10/12+6/12+8/12

=10+13/12=133/12

b: \(=2+\dfrac{17}{20}-1-\dfrac{11}{15}+2+\dfrac{3}{20}\)

=3-11/15

=34/15

c: \(=\dfrac{31}{7}:\left(\dfrac{7}{5}\cdot\dfrac{31}{7}\right)\)

\(=\dfrac{31}{7}:\dfrac{31}{5}=\dfrac{5}{7}\)

d: \(=\dfrac{29}{8}\cdot\dfrac{36}{29}\cdot\dfrac{15}{23}\cdot\dfrac{23}{5}=\dfrac{9}{2}\cdot3=\dfrac{27}{2}\)

a) -25 b) -64