biết làm bài 1 thôi

\(\left(\frac{1}{2}+1\right)\times\left(\frac{1}{3}+1\right)\times\cdot\cdot\cdot\times\left(\frac{1}{999}+1\right)\)

= \(\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times\cdot\cdot\cdot\times\frac{1000}{999}\)

lượt bỏ đi còn :

\(\frac{1000}{2}=500\)

Bài 2:

B = (1/2 - 1)(1/3 -1).(1/4 -1)...(1/1000 - 1)

B = (1/2 - 2/2).(1/3 - 3/3)...(1/1000 - 1000/1000)

B = (-1/2).(-2/3)...(-999/1000)

Xét dãy số: 1; 2 ;3;...999

Dãy số trên có 999 số hạng vậy B là tích của 999 số âm

B = - 1/1000

Bài 1:

1/6 + -5/7 : x = - 7/18

5/7: x = 1/6 + 7/18

5/7: x = 3/18 + 7/18

5/7: x = 5/9

x = 5/7 : 5/9

x = 5/7 x 9/5

x = 9/7

Vậy x = 9/7

Bài 2:

Câu a:

(1/2 + 1).(1/3 + 1).(1/4 + 1)...(1/999 + 1)

= (1/2 + 2/2).(1/3 + 3/3)...(1/999 + 999/999)

= 3/2.4/3....1000/999

= 1000/2

= 500

Bài 1: 

\(\Leftrightarrow-\dfrac{5}{7}:x=-\dfrac{7}{18}-\dfrac{1}{6}=\dfrac{-7}{18}-\dfrac{3}{18}=\dfrac{-10}{18}=\dfrac{-5}{9}\)

=>x=5/9:5/7=7/9

Bài 2:

a: \(=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{1000}{999}=\dfrac{1000}{2}=500\)

b: \(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-999}{1000}\)

\(=-\dfrac{1}{1000}\)

Câu c:

C = 3/2^2.8/3^2.15/4^2...99/10^2

C = \(\frac{1.3}{2.2}\times\frac{2.4}{3.3}\times\ldots\times\) \(\frac{9.11}{10.10}\)

C = \(\frac{1.2.3\ldots9}{2.3\ldots10}\) x \(\frac{3.4.\ldots11}{2.3.\ldots10}\)

C = \(\frac{1}{10}\) x \(\frac{11}{2}\)

C = 11/20

a,\(\frac{31}{1000}\)

b,\(\frac{8}{108}\)

c,0

a,\(\frac{49}{97}\)

b,\(\frac{-1}{4751}\)

mấy bài này dễ tự làm

lam on ai biet thi chi trong toi nay tui se cho ma ngay mai la phai nop rui

Câu a :

A = 2\(\frac12\) : (- \(\frac12\))^2 - \(\frac{1}{-3}\).(\(\frac{1}{-2}\) - \(\) \(\frac43\) : \(-\frac89\))

A = \(\frac52\) : \(\frac14\) + \(\frac13\).(-\(\frac12\) + \(\frac43\times\frac98\))

A = \(\frac52\times4\) + \(\frac13\).(- \(\frac12+\frac32\))

A = \(10\) + 1/3

A = 30/3 + 1/3

A = 31/3

Câu b:

B = (3\(\frac{10}{99}\) + 4\(\frac{11}{99}\) - \(\frac{58}{229}\)).(\(\frac12\) - \(\frac43\) - \(\frac16\))

B = (7\(\frac{21}{99}\) - \(\frac{58}{229}\))(3/6 - 8/6 - 1/6)

B = (7\(\frac{7}{33}\) - \(\frac{58}{229}\)).(-1)

B = - (\(\frac{238}{33}-\frac{58}{229}\))

B = - (\(54502\)/7557 - 1914/7557)

B = - 52588/7557

a)

\(=\frac{3}{2}.\frac{4}{3}......\frac{100}{99}=\frac{100}{2}=50\)

b)

\(=\frac{\left(-1\right)}{2}.\frac{\left(-2\right)}{3}.....\frac{\left(-99\right)}{100}=\frac{-1}{100}\)