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a)\(\frac{-5}{13}+\left(\frac{3}{5}+\frac{3}{13}-\frac{4}{10}\right)=\frac{-5}{13}-\frac{3}{5}-\frac{3}{13}+\frac{4}{10}=\left(\frac{-5}{13}-\frac{3}{13}\right)+\frac{4}{10}-\frac{3}{5}=\frac{-5-3}{13}+\left(\frac{4}{10}-\frac{6}{10}\right)=\frac{-8}{13}+\frac{-2}{10}=\frac{-80}{130}+\frac{-26}{130}=\frac{-106}{130}=\frac{-53}{65}\)
\(3\frac{14}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{71}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{1454}{323}+\frac{35}{43}+6\)
\(=5,...+6\)
\(=11,...\)
\(Bai2a\)\(A=\frac{\sqrt{3}-\sqrt{6}}{1-\sqrt{2}}-\frac{2+\sqrt{8}}{1+\sqrt{2}}\)
\(=\frac{\sqrt{3}\left(1-\sqrt{2}\right)}{1-\sqrt{2}}-\frac{2\left(1+\sqrt{2}\right)}{1+\sqrt{2}}\)
\(=\sqrt{3}-2\)
\(VayA=\sqrt{3}-2\)
a) |-18| . 941 + 59 . 18
= 18 . 941 + 59 . 18
= ( 941 + 59 ) . 18
= 1000 . 18
= 18000
b) 81 : 33 + 16 : 23
= 81 : 27 + 16 : 8
= 3 + 2
= 5
c) 30 - [ 40 - ( 6 - 1)2]
= 30 - [ 40 - 52 ]
= 30 - [ 40 - 25 ]
= 30 - 15
= 15
d) 17 . 85 + 15 . 17 - 150
= ( 85 + 15 ) . 17 - 150
= 100 . 17 - 150
= 1700 - 150
= 1550
a, \(\left|-18\right|\cdot941+59\cdot18=18\cdot941+59\cdot18=18\cdot\left(941+59\right)=18\cdot1000=18000\)
b, \(81:3^3+16:2^3=81\cdot27+16\cdot8=2187+128=2315\)
c, \(30-\left[40-\left(6-1\right)^2\right]=30-\left[40-5^2\right]=30-\left[40-25\right]=30-15=15\)
d, \(17\cdot85+15\cdot17-150=17\cdot\left(85+15\right)-150=17\cdot100-150=1700-150=1550\)
S = (1 - 2 - 3 + 4) + (5 - 6 - 7 + 8) + (9 - 10 - 11 + 12) + (13 - 14 - 15 + 16) + (17 - 18)
= 0 + 0 + 0 + 0 + (-1)
= -1
A = (1 - 2 - 3 + 4) + (5 - 6 - 7 + 8) + ... + (2013 - 2014 - 2015 + 2016) + 2017
= 0 + 0 + ... + 0 + 2017
= 2017
S = (1 - 2 - 3 + 4) + (5 - 6 - 7 + 8) +...... + (13 - 14 - 15 + 16)+ 17 - 18
S = 17 - 18 = -2
A = (1 - 2 - 3 + 4) + (5 - 6 -7 + 8) + ..... + (2013 - 2014 - 2015 + 2016) + 2017
A = 2017
phần a dễ bạn tự làm đi tử thì bạn tính như bình thường còn mẫu thì:7.(\(\frac{1}{3.13}\)+\(\frac{1}{13.23}\)+\(\frac{1}{23.33}\))
\(\frac{7}{10}\).(\(\frac{1}{3}\)-\(\frac{1}{33}\))=\(\frac{7}{33}\)
b)(1+1/3+1/5+..+1/199)-(1/2+1/4+...+1/200)
(1+1/2+1/3+...+1/199+1/200)-(1/2+1/2+1/4+1/4+...+1/200+1/200)
=1+1/2+1/3+...+1/199+1/200-(1+1/2+1/3+...+1/100)
=1/101+1/102+...+1/200
a, \(2^{332}>3^{223}\)
b,\(\frac{17^{17}+1}{17^{16}+1}=\frac{17^{18}+1}{17^{17}+1}\)
Cac ban giup mik voi, mik k cho! ( 10 k cho 3 nguoi dau tien tra loi cau hoi cua mik)
\(\frac{2^{18}.3^{17}-2^{17}.3^{16}}{6^{16}.2-2^{18}.3^{15}}\)
\(=\frac{2^{17}.3^{16}.\left(2.3-1\right)}{6^{15}.\left(6.2-2^3\right)}\)
\(=\frac{6^{16}.2.5}{6^{15}.4}=\frac{6.10}{4}=\frac{60}{4}=15\)
P/S: có đoạn mk làm tắt , ko hiểu cứ nhắn tin hỏi mk