day ma la toan lop 5

\(A=\frac{1}{1.3}+\frac{1}{3.5}+....+\frac{1}{21.23}\)

A=\(\frac{1}{3}\left(1-\frac{1}{3}+\frac{1}{3}-.......-\frac{1}{23}\right)\)=\(\frac{1}{3}.\frac{22}{23}=\frac{22}{69}\)

hok t

tl lại

\(A=\frac{1}{1.3}+....\frac{1}{21.23}\)

\(A=\frac{1}{2}\left(1-\frac{1}{3}+.....+\frac{1}{21}-\frac{1}{23}\right)\)

\(A=\frac{1}{2}.\frac{22}{23}=\frac{11}{23}\)

k t nha

\(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+...+\frac{1}{483}\)

\(=\frac{1}{1\times3}+\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+...+\frac{1}{21\times23}\)

\(=\frac{1}{2}\times[2\times\left(\frac{1}{1\times3}+\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+...+\frac{1}{21\times23}\right)]\)

\(=\frac{1}{2}\times\left(\frac{2}{1\times3}\times\frac{2}{3\times5}+\frac{2}{5\times7}+\frac{2}{7\times9}+...+\frac{2}{21\times23}\right)\)

\(=\frac{1}{2}\times\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{21}-\frac{1}{23}\right)\)

\(=\frac{1}{2}\times\left(1-\frac{1}{23}\right)\)

\(=\frac{1}{2}\times\frac{22}{23}\)

\(=\frac{11}{23}\)

Nhớ h cho mk nha

Đặt biểu thực là A

2A = \(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{21.23}\)

= \(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{21}-\dfrac{1}{23}=1-\dfrac{1}{23}=\dfrac{22}{23}\)

=> A = \(\dfrac{11}{23}\)

125 125 x 127 - 127 127 x 125

⇒ Dấu cách là dấu gì hả bạn?

a, (1 + 3 + 5 + 7+ ... + 2003 + 2005) x (125125 x 127 - 127127 x125)

= (1 + 3 + 5 +...+2003 + 2005) x (125 x 1001 x 127 - 127x1001 x 125)

= (1 + 3 + 5 +...+ 2003 + 2005) x 0

= 0 

b; 1000 x 0,04 - 100 : 2,5 + 10 x 0,4

= 100 x 0,4 - 100 x 0,4 + 10 x 0,4

= 0 + 4

= 4 

a) x-45=48-68

x-45=-20

x=-20+45

x=2

b) 157-(x-124)=-483

x-124=157-(-483)

x-124=640

x=640+124

x=764

2: \(=\dfrac{59}{10}\cdot\dfrac{2}{3}-\left[\dfrac{7}{3}\cdot\left(4+\dfrac{1}{2}-2\right)\right]\cdot\dfrac{4}{7}\)

\(=\dfrac{59}{15}-\dfrac{4}{3}\cdot\dfrac{5}{2}=\dfrac{59}{15}-\dfrac{10}{3}=\dfrac{59-50}{15}=\dfrac{9}{15}=\dfrac{3}{5}\)

4: \(=254+254\cdot399+399\)

\(=254\cdot400+399\)

\(=101600+399=101999\)

5: \(=638+3900-41=3900+597=4497\)

a: \(\left(-17\right)+5+\left(-8\right)+17\)

\(=\left(-17+17\right)+\left(5-8\right)\)

=0-3

=-3

b: \(\left(-9\right)+\left(-11\right)+21+\left(-1\right)\)

\(=\left(-9-1\right)+\left(21-11\right)\)

=10-10

=0

c: \(15+23+\left(-25\right)+\left(-23\right)\)

\(=\left(15-25\right)+\left(23-23\right)\)

=-10+0

=-10

d: \(\left(-3\right)+\left(-350\right)+\left(-7\right)+350\)

\(=\left(-3-7\right)+\left(-350+350\right)\)

=-10+0

=-10

e: \(\left(-3\right)+\left(-250\right)+\left(-7\right)+250\)

\(=\left(-3-7\right)+\left(-250+250\right)\)

=-10+0

=-10

f: \(\left(-4\right)+\left(-440\right)+\left(-6\right)+440\)

\(=\left(-4-6\right)+\left(-440+440\right)\)

=-10+0

=-10

g: \(483+\left(-56\right)+263+\left(-64\right)\)

\(=\left(483+263\right)+\left(-56-64\right)\)

\(=746-110=636\)

h: \(215+43+\left(-215\right)+\left(-25\right)\)

\(=\left(215-215\right)+\left(43-25\right)\)

=0+18

=18

a. (-17) + 5 + (-8) + 17

= [5 + (-8)] + [(-17) + 17]

= -3

b. (-9) + (-11) + 21 + (-1)

= [(-9) + (-1)] + [21 + (-11)]

= -10 + 10

= 0

c. 15 + 23 + (-25) + (-23)

= [15 + (-25)] + (23 - 23)

= -10

d. (-3) + (-350) + (-7) + 350

= [(-3) + (-7)] + [(-350) + 350]

= -10

e. (-3) + (-250) + (-7) + 250

= [(-3) + (-7)] + [(-250) + 250]

= -10

f. (-4) + (-440) + (-6) + 440

= [(-4) + (-6)] + [(-440) + 440]

= -10

g. 483 + (-56) + 263 + (-64)

= (483 + 263) + [(-56) + (-64)]

= 746 + (-120)

= 626

h. 215 + 43 + (-215) + (-25)

= [215 + (-215)] + [43 + (-25)]

= 18

a) (-17) + 5 + (-8) + 17

= [5 + (-8)] + [(-17) + 17]

= -3

b) (-9) + (-11) + 21 + (-1)

= [(-9) + (-1)] + [21 + (-11)]

= -10 + 10

= 0

c) 15 + 23 + (-25) + (-23)

= [15 + (-25)] + (23 - 23)

= -10

d) (-3) + (-350) + (-7) + 350

= [(-3) + (-7)] + [(-350) + 350]

= -10

e) (-3) + (-250) + (-7) + 250

= [(-3) + (-7)] + [(-250) + 250]

= -10

f) (-4) + (-440) + (-6) + 440

= [(-4) + (-6)] + [(-440) + 440]

= -10

g) 483 + (-56) + 263 + (-64)

= (483 + 263) + [(-56) + (-64)]

= 746 + (-120)

= 626

h) 215 + 43 + (-215) + (-25)

= [215 + (-215)] + [43 + (-25)]

= 18

1: \(=-24\left(45-5\right)=-24\cdot40=-960\)

2: \(=-134\left(1-51+48\right)=-134\cdot\left(-2\right)=268\)

3: \(=124\left(1-52+47\right)=124\cdot\left(-3\right)=-372\)