tính nhanh
3,4.6,5+3,4.3,5
4/5.23/30+4/5.7/30
0,8.6,25.0,4
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Bài 2:
\(E=\frac{4}{3.5}+\frac{4}{5.7}+\frac{4}{7.9}+...+\frac{4}{97.99}\)
\(\Rightarrow E=2\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{97.99}\right)\)
\(\Rightarrow E=2\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{97}-\frac{1}{99}\right)\)
\(\Rightarrow E=2\left(\frac{1}{3}-\frac{1}{99}\right)\)
\(\Rightarrow E=2.\frac{32}{99}\)
\(\Rightarrow E=\frac{64}{99}\)
Vậy \(E=\frac{64}{99}\)
\(\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-5}{12}+\frac{3}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).\left(\frac{-2}{12}+\frac{2}{12}\right)\)
\(=\left(\frac{17}{28}+18.29+\frac{19}{30}+\frac{30}{31}\right).0\)
\(=0\)
= \(\dfrac{5}{2}(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{2019}-\dfrac{1}{2021})\)
= \(\dfrac{5}{2}\left(1-\dfrac{1}{101}\right)\)
= \(\dfrac{5}{2}.\dfrac{100}{101}\)
= \(\dfrac{250}{101}\)
\(\dfrac{25}{100}\) + \(\dfrac{1}{4}\) x 29 + 25% \(\times\) 30 + 0,25 \(\times\) 40
= 0,25+ 0,25 x 29 + 0,25 x 30 + 0,25 x 40
= 0,25 x ( 1 + 29 + 30 + 40)
= 0,25 x 100
= 25
Ta có:
1+30=2+29=31
Có số số hạng là:
(30-1):1+1=30(số)
Có số cặp là:
30:2=15(cặp)
Vậy tổng của dãy đó là:
15x31=465
Đáp số:465
K tớ nha
\(\frac{1}{10}+\frac{4}{20}+\frac{9}{30}+...+\frac{81}{90}\)
\(=\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+...+\frac{9}{10}\)
\(=\frac{\left(9+1\right)\left(9-1+1\right):2}{10}\)
\(=\frac{10.9:2}{10}=4,5\)
=\(\frac{1}{10}+\frac{4}{20}+\frac{9}{30}+...+\frac{81}{90}\)
= \(\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+...\frac{9}{10}\)
= \(\frac{\left(9+1\right)\times\left(9-1+1\right):2}{10}\)
= \(\frac{10\times9:2}{10}\)
= 4,5
ĐS:.........................
#Châu's ngốc
3,4.6,5+3,4.3,5
=3,4.(6,5+3,5)
=3,4.10
=34
4/5.23/30+4/5.7/30
=4/5.(23/30+7/30)
=4/5.30/30
=4/5.1
=4/5
0,8.6,25.0,4
=0,8.2,5.2,5.0,4
=(0,8.2,5).(2,5.0,4)
=2.1
=2