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\(C=\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+...+\frac{5}{997.999}\)
\(\Leftrightarrow C=\frac{5}{2}\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{997.999}\right)\)
\(\Leftrightarrow C=\frac{5}{2}\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{997}-\frac{1}{999}\right)\)
\(\Leftrightarrow C=\frac{5}{2}\left(1-\frac{1}{999}\right)=\frac{5}{2}.\frac{998}{999}=\frac{2495}{999}=2\frac{497}{999}\)
\(A=\frac{2}{4}+\frac{2}{28}+\frac{2}{70}+\frac{2}{130}+\frac{2}{208}\)
\(\Leftrightarrow A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+\frac{2}{13.16}\)
\(\Leftrightarrow A=\frac{2}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}\right)\)
\(\Leftrightarrow A=\frac{2}{3}\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\right)\)
\(\Leftrightarrow A=\frac{2}{3}\left(1-\frac{1}{16}\right)=\frac{2}{3}.\frac{15}{16}=\frac{5}{8}\)
C = 5/1x3 + 5/3x5 + 5/5x7 + ... + 5/997x999
C = 5 - 5/3 + 5/3 - 5/5 + 5/5 - 5/7 + ... + 5/997 - 5/999
C = 5 - 5/999
C = bạn tự tính nhé !
A = 2/4 + 2/28 + 2/70 + 2/130 + 2/208
A = 2/1x4 + 2/4x7 + 2/7x10 + 2/10x13 + 2/13x16
A = 2 - 2/4 + 2/4 - 2/7 + 2/7 - 2/10 + 2/10 - 2/13 + 2/13 - 2/16
A = 2 - 2/16
A = bạn tự tính nhé !
B € {5;9;13;17;21}
B={x€N|x +4;x+4+4;...; x<2018}
Mình cũng không chắc
a) 38 + 41 + 117 + 159 + 62
= ( 38 + 62 ) + ( 41 + 159 ) + 117
= 100 + 200 + 117
= 300 + 117
= 417
b) 42 x 53 + 47 x 156 - 47 x 144
= 47 x ( 156 - 144 ) + 42 x 53
= 47 x 12 + 42 x 53
= 564 + 2226
= 2790
c) 341 x 67 + 341 x 16 + 659 x 83
= 341 x ( 67 + 16 ) + 659 x 83
= 341 x 83 + 659 x 83
= 83 x ( 341 + 659 )
= 83 x 1000
= 83000
hok tốt
1.a)341.67+341.16+659.82
=341.(67+16)+659.82
=341.83+659.82
=341+341.82+659.82
=341+82.(341+659)
=341+82.1000
=82341
b)42.53+47.156-47.114
=42.53+47.(156-114)
=42.53+47.42
=42.(53+47)
=42.100
=4200
a,\(\frac{5}{3}.\frac{3}{7}+\frac{5}{3}.\frac{5}{7}-\frac{5}{3}\)
=\(\frac{5}{3}.\left(\frac{3}{7}+\frac{5}{7}\right)-\frac{5}{3}\)
= \(\frac{5}{21}\)
B = 22021 - 22020 - 22019 -...- 2 -1
B = 22021 - (22020 + 22019 +...+2 +1)
Đặt C = 22020 + 22019 +...+ 2 + 1
2C = 22021 + 22020 + 22019+....+ 2 + 1
2C - C = 22021 - 1
C = 22021 - 1
B = 22021 - (22021 -1)
B = 22021 - 22021 + 1
B = 1
a)\(=\left(\frac{-3}{13}-\frac{10}{13}\right)+\left(\frac{7}{12}+\frac{5}{12}\right)\)
\(=-1+1=0\)
b)=
a)500-{5.[409-(21-2\(^3\).3)\(^2\)+10\(^3\)}:15
=500-{5.[409-(21-24)\(^2\)]+10\(^3\)}:15
=500-{5.[409-(-3)\(^2\)]+10\(^3\)}:15
=500-{5.400+10\(^3\)}:15
=500-{2000+1000}:15
=500-3000:15
=500-200
=300
b)-7129+1478+7129-1479
=[(-7129)+7129]+(1478-1479)
=0+-1
=-1
c)19-42.(-19)+19.(-3)
=19-(-798)+(-57)
=817+(-57)
=760
hok tốt
A=2.3.4.25.125
= (25.4).(2.3.125)
= 100.750=75000
Phần b mk chưa nghĩ ra, sorry!!
\(A=2.3.4.25.125\)
\(=\left(2.4.125\right).\left(3.25\right)=1000.75=75000\)
\(B=32.547+906.16=32.547+453.2.16\)
\(=32.547+453.32=32.\left(547+453\right)=32.1000=32000\)