Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
+) \(M=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+....+\frac{1}{2019\cdot2020}\)
\(M=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+.....+\frac{1}{2019}-\frac{1}{2010}\)
\(M=1-\frac{1}{2010}=\frac{2009}{2010}\)
Vậy M=\(\frac{2009}{2010}\)
+) Đặt A=\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\cdot\cdot\cdot\cdot\cdot\left(1-\frac{1}{50}\right)\)
\(A=\frac{1}{2}\cdot\frac{2}{3}\cdot\cdot\cdot\cdot\frac{49}{50}\)
\(A=\frac{1\cdot2\cdot\cdot\cdot\cdot49}{2\cdot3\cdot\cdot\cdot\cdot50}=\frac{1}{50}\)
câu 1: =15
câu 2:=-98
câu 3: 54-(-16)-(-13)+27
= 70 - 14
= 56
\(\frac{9}{2}:\left(2.5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}:\left(10-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\left(\frac{40}{4}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}.\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{97}{100}\)
\(\frac{9}{2}\div\left(2\times5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(10-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(\frac{40-15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}\div\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}\times\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{72+25}{100}=\frac{97}{100}\)
\(\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\frac{4^2}{4\cdot5}\cdot\frac{5^2}{5\cdot6}=\frac{1^2}{1\cdot6}=\frac{1}{6}\)
lan sau nho ghi de cho dung nha bn
\(\frac{1.1.2.2.3.3.4.4.5.5}{1.2.2.3.3.4.4.5.5.6}\)=\(\frac{\left(1.2.3.4.5\right).\left(1.2.3.4.5\right)}{\left(1.2.3.4.5\right)\left(2.3.4.5.6\right)}=\frac{1}{6}\)
A =\(\left(1+\frac{2}{1}\right)\left(1+\frac{2}{2}\right)\left(1+\frac{2}{3}\right)\left(1+\frac{2}{4}\right)...\left(1+\frac{2}{26}\right)\left(1+\frac{2}{27}\right)\)
\(=\frac{3}{1}.\frac{4}{2}.\frac{5}{3}.\frac{6}{4}....\frac{28}{26}.\frac{29}{27}=\frac{28.29}{1.2}=14.29=406\)
a: =27:9+36-1=3+36-1=39-1=38
b: =5x4-10-1=9
1) \(27 : 3^2 + 18 . 2 - 1\)
\(= 27 : 9 + 36 - 1 \)
\(= 3 + 36 - 1\)
\(= 39 - 1 \)
\(= 38\)
2) \(15 : 3 . 4 - ( 2 . 5 + 1 )\)
\(= 5 . 4 - ( 10 + 1 )\)
\(= 20 - 11\)
\(= 9\)