-1/64 nha b

\(\frac{3}{2}+\frac{5}{4}+\frac{9}{8}+\frac{17}{16}+\frac{33}{32}+\)\(\frac{65}{64}-7\)

\(=\frac{96}{64}+\frac{80}{64}+\frac{72}{64}+\frac{66}{64}+\frac{65}{64}-7\)

\(=\frac{96+80+72+66+64}{64}-7\)

\(=\frac{378}{64}-\frac{7}{1}\)

\(=\frac{189}{32}-\frac{224}{32}\)

\(=\frac{-35}{32}\)

 42 + 43 + 44 + 45 - 32 - 33 - 34 - 35

= (42 - 32)+(43 - 33)+(44 - 34)+(45 - 35)

= 10+10+10+10

= 40

(64+65+66+67+68) - (54+55+56+57+58)

= 64+65+66+67+68 - 54-55-56-57-58

= (64 - 54)+(65 - 55) +(66 - 56) + (67- 57) + (68 -58)

= 10+10+10+10+10

= 50

câu 1 40 
câu 2 50

nha

tl nhanh hộ mik với

\(\frac{3}{2}+\frac{5}{4}+\frac{9}{8}+\frac{17}{16}+\frac{31}{32}+\frac{65}{64}-7\)

\(=\left(1+\frac{1}{2}\right)+\left(1+\frac{1}{4}\right)+\left(1+\frac{1}{8}\right)+.....+\left(1+\frac{1}{64}\right)-7\)

\(=6+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\right)-7\)

\(=.....................\)

\(\frac{3}{2}+\frac{5}{4}+\frac{9}{8}+\frac{17}{16}+\frac{33}{32}+\frac{65}{64}-7\) \(7\)

\(=2\frac{3}{4}+\frac{9}{8}+\frac{17}{16}+\frac{33}{32}+\frac{65}{64}-7\)

\(=3\frac{7}{8}+\frac{17}{16}+\frac{33}{32}+\frac{65}{64}-7\)

\(=4\frac{15}{16}+\frac{33}{32}+\frac{65}{64}-7\)

\(=5\frac{31}{32}+\frac{65}{64}-7\)

\(=6\frac{63}{64}-7\)

\(=-\frac{1}{64}\)

Mình có cách như vậy thôi nhé, vì mình mới học lớp 5

a: \(=3\cdot\left(\dfrac{1}{4}-\dfrac{6}{7}+\dfrac{8}{21}\right)\)

\(=3\cdot\left(\dfrac{21}{84}-\dfrac{72}{84}+\dfrac{32}{84}\right)\)

\(=\dfrac{-19}{28}\)

b: \(=\dfrac{-2}{3}\left(\dfrac{1}{9}-\dfrac{1}{6}-\dfrac{1}{11}\right)\)

\(=\dfrac{-2}{3}\cdot\dfrac{-29}{198}=\dfrac{29}{99\cdot3}=\dfrac{29}{297}\)

c: \(=\dfrac{-3}{7}+\dfrac{4}{25}+\dfrac{5}{16}+\dfrac{3}{16}\)

\(=\dfrac{-75+28}{175}+\dfrac{1}{2}\)

\(=\dfrac{-47}{175}+\dfrac{1}{2}=\dfrac{-94+175}{350}=\dfrac{81}{350}\)

d: \(=\dfrac{-4}{9}\cdot\left(\dfrac{1}{26}-\dfrac{1}{2}-\dfrac{1}{8}\right)\)

\(=\dfrac{-4}{9}\cdot\dfrac{-61}{104}=\dfrac{61}{26\cdot9}=\dfrac{61}{234}\)

Bài 1:

a: 212+109+188

=212+188+109

=400+109

=509

b: 305+295+140

=600+140

=740

c: \(9\cdot4\cdot25\cdot8\cdot125\)

\(=9\cdot100\cdot1000\)

=900000

d: 35+56+65+44

=35+65+56+44

=100+100

=200

e: 277+194+206+123

=277+123+194+206

=400+400

=800

g: \(8\cdot25\cdot2\cdot4\cdot5\cdot125\)

\(=2\cdot5\cdot4\cdot25\cdot8\cdot125\)

\(=10\cdot100\cdot1000=1000000\)

h: \(29\cdot25+29\cdot45+29\cdot30\)

\(=29\left(25+45+30\right)=29\cdot100=2900\)

i: \(36\left(143+57\right)+64\left(143+57\right)\)

\(=36\cdot200+64\cdot200\)

\(=200\left(36+64\right)=200\cdot100=20000\)

k: \(491\cdot\left(747+53\right)+491\left(153+47\right)\)

\(=491\left(747+153+53+47\right)\)

\(=491\left(900+100\right)=491\cdot1000=491000\)

Bài 4:

a: M=1+2+3+...+103

\(=\frac{103\left(103+1\right)}{2}=103\cdot\frac{104}{2}=103\cdot52=5356\)

b: Số số hạng của dãy là (99-3):4+1=96:4+1=24+1=25(số)

Tổng của dãy số là:

\(N=\left(99+3\right)\cdot\frac{25}{2}=51\cdot25=1275\)

c: Số số hạng của dãy là:

(991-1):10+1=990:10+1=99+1=100(số)

Tổng của dãy số là:

\(C=\left(991+1\right)\cdot\frac{100}{2}=992\cdot50=49600\)

\(A=\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(A=\frac{2^8.2.78}{2^8.104}\)

\(A=\frac{2}{13}\)

\(\)