a) 1/11 + 2/11 + 3/11 + ... + 10/11

= 1 + 2 + 3 + ... + 10 / 11

= (1 + 10).10:2 / 11

= 11.5/11

= 5

b) 1/10×20 + 1/20×30 + 1/30×40 + ... + 1/90×100

= 1/10×10 × (1/1×2 + 1/2×3 + 1/3×4 + ... + 1/9×10)

= 1/100 × (1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/9 - 1/10)

= 1/100 × (1 - 1/10)

= 1/100 × 9/10

= 9/1000

\(2\dfrac{1}{3}.3=\dfrac{7}{3}.3=7.\\ \left(\dfrac{2}{5}-\dfrac{3}{4}\right)-\dfrac{2}{5}=\dfrac{2}{5}-\dfrac{3}{4}-\dfrac{2}{5}=-\dfrac{3}{4}.\\ \dfrac{-10}{11}.\dfrac{4}{7}+\dfrac{-10}{11}.\dfrac{3}{7}+1\dfrac{10}{11}.\\ =\dfrac{-10}{11}\left(\dfrac{4}{7}+\dfrac{3}{7}-1\right).\\ =\dfrac{-10}{11}.\left(1-1\right)=0.\)

1) 2\(\dfrac{1}{3}\).3=\(\dfrac{7}{3}\).3=7.

2) (2/5 -3/4) -2/5 = 2/5 -3/4 -2/5 = -3/4.

3) \(\dfrac{-10}{11}.\dfrac{4}{7}+\dfrac{-10}{11}.\dfrac{3}{7}+1\dfrac{10}{11}=\dfrac{1}{11}\left(-\dfrac{40}{7}-\dfrac{30}{7}+21\right)=\dfrac{1}{11}.\left(-10+21\right)=1\).

a) 5 – 4 – 3 – 2 – 1 + 11 + 12 + 13 + 14 + 15

= (5 + 15) + (14 – 4) + (13 – 3) + (12 – 2) + (11 – 1)

= 20 + 10 + 10 + 10 + 10

= 60 

b) 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10 +11

= (1 + 3 + 5 + 7 + 9 + 11) – 2 – 4 – 8 – 10

= 36 – 24

= 12

a) 5 – 4 – 3 – 2 – 1 + 11 + 12 + 13 + 14 + 15

= (5 + 15) + (14 – 4) + (13 – 3) + (12 – 2) + (11 – 1)

= 20 + 10 + 10 + 10 + 10

= 60 

b) 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10 +11

= (1 + 3 + 5 + 7 + 9 + 11) – 2 – 4 – 8 – 10

= 36 – 24

= 12

1+2+3+4+5+6+7+8+9+10+11+12+13-1-2-3-4-5-6-7-8-9-10-11-12

=(1-1)+(2-2)+(3-3)+(4-4)+(5-5)+(6-6)+(7-7)+(8-8)+(9-9)+(10-10)+(11-11)+(12-12)+13

=  0  +  0  +  0  +  0  +   0  +  0  +  0  +  0  +  0  + 0  + 0   +  0  +  13

=                                 13

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 - 1 - 2 - 3 - 4 - 5 - 6 - 7- 8 - 9 - 10 

= (1+12) + (2+11) + (3+10) + ( 4+9) + (5+8) + (6+7) + 13 -  (1+11) - ( 2+10) - ( 3+9) - (4+8) - (5+7) + 6 + 12

= 13 * 7 - 12 * 6 + 6

= 13

Ai k mk mk k lại

= 13 nhé hihi nha

\(\frac{2^{10}.3^{11}+2^{10}.3^6}{2^{11}.3^{11}+2^{11}.3^6}=\frac{2^{10}\left(3^{11}+3^6\right)}{2^{11}\left(3^{11}+3^6\right)}=\frac{2^{10}}{2^{11}}=\frac{1}{2}\)