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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
| x + 1 | + 7 = 25
<=> | x + 1 | = 18
<=> x + 1 = 18 hoặc x + 1 = -18
<=> x = 17 hoặc x = -19
bạn ngọc thiếu 3 , mình sửa luôn
\(3.|x+1|+7=25\)
\(< =>3|x+1|=25-7\)
\(< =>3|x+1|=18\)
\(< =>|x+1|=\frac{18}{3}=6\)
\(< =>\orbr{\begin{cases}x+1=6\\x+1=-6\end{cases}}\)
\(< =>\orbr{\begin{cases}x=5\\x=-7\end{cases}}\)
\(C=\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+...+\frac{5}{997.999}\)
\(\Leftrightarrow C=\frac{5}{2}\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{997.999}\right)\)
\(\Leftrightarrow C=\frac{5}{2}\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{997}-\frac{1}{999}\right)\)
\(\Leftrightarrow C=\frac{5}{2}\left(1-\frac{1}{999}\right)=\frac{5}{2}.\frac{998}{999}=\frac{2495}{999}=2\frac{497}{999}\)
\(A=\frac{2}{4}+\frac{2}{28}+\frac{2}{70}+\frac{2}{130}+\frac{2}{208}\)
\(\Leftrightarrow A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+\frac{2}{13.16}\)
\(\Leftrightarrow A=\frac{2}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}\right)\)
\(\Leftrightarrow A=\frac{2}{3}\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\right)\)
\(\Leftrightarrow A=\frac{2}{3}\left(1-\frac{1}{16}\right)=\frac{2}{3}.\frac{15}{16}=\frac{5}{8}\)
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 !
Đặt A = 2 + 4 + 8 + ... + 2048
= 2 + 22 + 23 + ... + 211
=> 2A = 22 + 23 + 24 + ... + 212
Lấy 2A trừ A theo vế ta có
2A - A = (22 + 23 + 24 + ... + 212) - (2 + 22 + 23 + ... + 211)
=> A = 212 - 2
Đặt \(A=2+4+8+16+...+1024+2048\)
\(\Rightarrow2A=4+8+16+32+...+2048+4096\)
\(\Rightarrow2A-A=4096-2\)
\(\Rightarrow A=4094\)
`Answer:`
\(\frac{240.50+48.100}{42.37+21.126}\)
\(=\frac{48.5.50+48.100}{42.37+21.42.3}\)
\(=\frac{48.\left(250+100\right)}{42.\left(37+63\right)}\)
\(=\frac{48.350}{42.100}\)
\(=\frac{8.7}{7.2}\)
\(=4\)