Tính :
a, 3/2^2.8/3^2.15/4^2...899/30^2
b, 4/3.4/7+4/7.4/11+...+4/95.4/99
5a/ A= 4/3.4/7+4/7.4/11+4/11.4/15+...+4/95.4/99
b/ B= 7/2+7/6+7/12+...+7/9900
a thì đặt 4 ra ngoài sau đó tự tính theo cách đã học
câu b tương tự
Câu 1 : (11/4.-5/9-4/9.11/4).8/33
Câu 2 : (17/28+18/29-19/30-20/31).(-5/2+1/4+1/6)
Câu 3 :(1/2+1).(1/3+1).(1/4+1) ... (1/99+1)
Câu 4 : 3/2^2.8/3^2.15/4^2 ... 899/30^2
Câu 11:
(\(\dfrac{11}{4}\). \(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\).\(\dfrac{11}{4}\)).\(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(\(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\)). \(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(-1).\(\dfrac{8}{33}\)
= - \(\dfrac{2}{3}\)
Câu 2: (\(\dfrac{17}{28}\) + \(\dfrac{18}{29}\) - \(\dfrac{19}{30}\) - \(\dfrac{20}{31}\)).(-\(\dfrac{5}{2}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{6}\))
= (\(\dfrac{17}{28}\) + \(\dfrac{18}{29}\) - \(\dfrac{19}{30}\) - \(\dfrac{20}{31}\)).(-\(\dfrac{5}{2}\) + \(\dfrac{5}{12}\))
= (\(\dfrac{17}{28}\) + \(\dfrac{18}{29}\) - \(\dfrac{19}{30}\) - \(\dfrac{20}{31}\)). 0
= 0
Tính giá trị của biểu thức sau:
A=4/3.4/7+4/7.4/11+4/11.4/5+......+4/95.4/99
\(A=\frac{4}{3}.\frac{4}{7}+\frac{4}{7}.\frac{4}{11}+\frac{4}{11}.\frac{4}{15}+...+\frac{4}{95}.\frac{4}{99}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{15}+...+\frac{1}{95}-\frac{1}{99}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{99}\)
\(\Leftrightarrow\frac{32}{99}\)
Đề bài sai đúng k??Kiểm tra lại đi nhé!!
Trịnh Thành Công làm sai rồi kìa
\(A=\frac{4}{3}\cdot\frac{4}{7}+\frac{4}{7}\cdot\frac{4}{11}+...+\frac{4}{95}\cdot\frac{4}{99}\)
\(=\frac{4.4}{3.7}+\frac{4.4}{7.11}+...+\frac{4.4}{95.99}\)
\(=4\left(\frac{4}{3.7}+\frac{4}{7.11}+...+\frac{4}{95.99}\right)\)
\(=4\left(\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{95}-\frac{1}{99}\right)\)
\(=4\left(\frac{1}{3}-\frac{1}{99}\right)=4\cdot\frac{32}{99}=\frac{128}{99}\)
Tính giá trị của biểu thức: C = 3/2^2.8/3^2.15/4^2 ... 899/30^2
=1.3/2^2×2.4/3^2×3.5/4^2×...×29.31/30^2
=1.2.3....29/2.3.4...30×3.4.5....31/2.3.4...30
=1/30×31/2
=31/60
Tinh gia tri bieu thuc: A= 4/3.4/7+4/7.4/11+4/11.1/15+...+4/95.4/99
Tính bằg cách thuận tiện nhất:
1) 1995/-1996 :(19931993/19961996).-199319931993/199519951995
2) 5/9.7/13 +5/9.9/13-5/9.3/13
3) d.3/4+ d.5/6-d.19/12
4) (121/122.123/125+127/129).(1995/1996.17/16-21/15:16/17).(42/30.25/23-19/23.210/38)
5)4/3.4/7+4/7.4/11+4/11.4/15+...+4/95.4/99
6)
B1
a (1/2+1).(1/3+1).(1/4+1)...(1/99+1)
b (1/2-1).(1/3-1).(1/4-1)...(1/100-1)
c 3/2^2.8/3^3.15/4^4...899/30^2
d(1-1/2).(1-1/3).(1-1/4)...1-1/1999).(1-1/200)
tính nhanh
3/2^2.9/3^2.15/4^2....899/30^2
giúp mình với ai nhanh mình tick cho
1.Tìm tích:
a) (1/2+1).(1/3+1).(1/4+1)........(1/999+1)
b) (1/2-1).(1/3-1).(1/4-1).........(1/1000-1)
c) 3/2^2.8/3^2.15/4^2..........99/10^2
ai nhanh nhất mình tick cho
a, ( 1/2 + 1) . ( 1/3 + 1) . (1/4 + 1) ... ( 1/999 + 1)
= 3/2 . 4/3 . 5/4 . 1000/999
= 1/2 . 1/1 . 1/1 ... 1000/1
= 1000/2
= 500
b, (1/2-1) . (1/3-1) . (1/4-1) ... (1/1000-1)
= -1/2 . (-2)/3 . (-3)/4 ... (-999)/1000
= (-1)/1 . (-1)/1 . (-1)/1 ... (-1)/1000
= (-1)/1000
c, 3/2^2 . 8/3^2 . 15/4^2 ... 99/10^2
= 1.3/2.2 * 2.4/3.3 * 3.5/4.4***9.11/10.10
=( 1.2.3...99).(3.4.5...11)/(2.3.4....10).(2.3.4...10)
= 1.11/2.10
= 11/20