Tính nhanh giá trị biểu thức
1/1+1/6+1/12+....+1/90
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Những câu hỏi liên quan
21 tháng 1 2017
A=(2-3+4-5) +(6-7+8-9)+.......=(96-97+98-99)+100
A=0+0+0+.....+0+100
A=100
BÀI D EM NGẠI VIẾT
DL
27 tháng 5 2019
a) \(A=2+1+1+...+1=2+49=51.\)
b) \(B=1,7+1,7+...+1,7=1,7.10=17.\)
c) \(D=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(\Leftrightarrow D=1-\frac{1}{10}=\frac{9}{10}.\)
HM
19 tháng 4 2017
B = 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90
B = \(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)+ \(\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
B = \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\)\(\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
B = \(\frac{1}{2}-\frac{1}{10}\)
B = \(\frac{2}{5}\)
19 tháng 4 2017
B=1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
B=1/2x3+1/3x4+1/4x5+1/5x6+1/6x7+1/7x8+1/8x9+1/9x10
B=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
B=1/2-1/10
B=2/5
NT
1
27 tháng 12 2015
\(A=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+....+\left(1-\frac{1}{90}\right)+\left(1-\frac{1}{110}\right)+\frac{10}{11}\)
\(=10-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{10.11}\right)+\frac{10}{11}=10-\left(1-\frac{1}{11}\right)+\frac{10}{11}=10\)
H9
HT.Phong (9A5)
CTVHS
30 tháng 8 2023
\(E=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{8}+\dfrac{1}{2}+\dfrac{1}{12}\)
\(E=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)+\left(\dfrac{1}{3}+\dfrac{1}{6}\right)+\left(\dfrac{1}{8}+\dfrac{1}{12}+\dfrac{1}{24}\right)\)
\(E=\dfrac{2}{2}+\dfrac{3}{6}+\left(\dfrac{1}{8}+\dfrac{3}{24}\right)\)
\(E=1+\dfrac{1}{2}+\left(\dfrac{1}{8}+\dfrac{1}{8}\right)\)
\(E=\left(\dfrac{2}{2}+\dfrac{1}{2}\right)+\dfrac{2}{8}\)
\(E=\dfrac{3}{2}+\dfrac{1}{4}\)
\(E=\dfrac{6}{4}+\dfrac{1}{4}\)
\(E=\dfrac{7}{4}\)
5 tháng 3 2018
1/2+1/6+1/12+1/20=4/5
Tính nhanh
18,5 : x + 14,8 : x + 12 ,7 : x = 10
x:(18,5+14,8+12,7)=10
x:46=10
=>x=460
NP
3
N
1
1 tháng 7 2016
B = 1/6 + 1/12 + 1/20 + ... + 1/90
B = 1/2.3 + 1/3.4 + 1/4.5 + ... + 1/9.10
B = 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + ... + 1/9 - 1/10
B = 1/2 - 1/10
B = 5/10 - 1/10
B = 4/10 = 2/5
Ủng hộ mk nha ♡_♡☆_☆
22 tháng 3 2023
\(A=1-1-\dfrac{5}{6}+1+\dfrac{7}{12}-1-\dfrac{9}{20}+1+\dfrac{11}{30}-1-\dfrac{13}{42}+1+\dfrac{15}{56}-1-\dfrac{17}{72}+1+\dfrac{19}{90}\)
\(=1-\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{9}+\dfrac{1}{10}\)
=1/2+1/10
=5/10+1/10=6/10=3/5
\(\frac{1}{1}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{90}\)
\(=\frac{1}{1}+\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{90}\right)\)
\(=\frac{1}{1}+\left(\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{9.10}\right)\)
\(=1+\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=1+\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=1+\frac{2}{5}=\frac{7}{5}\)
7/5 nha bn