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a) Giá trị của biểu thức a là:
a
= 3.10^3 + 2x10^2 + 5.10
= 3.1000 + 2.100 + 5.10
= 3000 + 200 + 50
= 3250
b) Giá trị của biểu thức b là:
b = 35 - 2.1^111 + 3.7.7^2
= 35 - 2.1^111 + 3.7.49
= 35 - 2.1 + 3.7.49
= 35 - 2 + 1029
= 1062
c) Giá trị của biểu thức c là:
c = 5.4^3 + 2.3 + 81.2
= 5.64 + 6 + 162
= 320 + 6 + 162
= 488
Lời giải:
$3.103+2.102+5.10=309+204+50=563$
$35-2.1111+3.7.72=35-2222+1512=-675$
$5.43+2.3+81.2=215+6+162=383$
c, 12 + 3.24 : 4 - 3
= 12+ 72 :4 -3
= 12+ 18 - 3
= 30 - 3
= 27
d, 5.43 + 2.3 - 81.2
= 215 + 6 - 162
= 221 - 162
= 59
e, 25 : [ 9 - ( 5-3 )2 ] + 6.23
= 25 : [ 9 - 2 . 2 ] + 138
= 25 : [ 9 - 4 ] + 138
= 25 : 5 + 138
= 5 + 138
= 143
đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)
đặt A=6/5.7+6/7.9+6/9.11+......+6/33.35
\(\Leftrightarrow A=3\left(\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{33\cdot35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\cdot\frac{6}{35}\)
\(\Rightarrow A=\frac{18}{35}\)
Gọi A là biểu thức \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
Ta có: \(\frac{6}{5\cdot7}+\frac{6}{7\cdot9}+...+\frac{6}{33\cdot35}\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{33}-\frac{1}{35}\right)\)
\(\Rightarrow A=3\left(\frac{1}{5}-\frac{1}{35}\right)=3\cdot\frac{6}{35}=\frac{18}{35}\)
\(\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+...+\frac{2}{31.33}+\frac{2}{33.35}\)
\(=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+...+\frac{1}{31}-\frac{1}{33}+\frac{1}{33}-\frac{1}{35}\)
\(=\frac{1}{5}-\frac{1}{35}\)
\(=\frac{6}{35}\)
Chúc bạn học giỏi nha!!!
K cho mik vs nhé danggiahuy
đặt A=2/5.7+2/7.9+2/9.11+.....+2/31.33+2/33.35
A=1/5-1/7+1/7-1/9+1/9-1/11+.....+1/31-1/33+1/33-1/35
A=1/5-1/35
A=6/35
tính hợp lý nếu có thể
a) 2.25.9.4
b)35.112-12.35+50
c)16+(516 : 514 - 90)
d) 24.7 - [181 - ( 13 - 4)2 ]
a: \(2\cdot25\cdot9\cdot4=25\cdot4\cdot9\cdot2=18\cdot100=1800\)
b: \(35\cdot112-12\cdot35+50\)
\(=35\left(112-12\right)+50\)
=3500+50
=3550
c: \(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+5^2-1\)
=25+15
=40
d: \(24\cdot7-\left[181-\left(13-4\right)^2\right]\)
\(=168-181+9^2\)
=81-13
=68
a)2.25.9.4
=(25.4).(9.2)
=100.18
1800
b)35.112-12.35+50
=35.(112-12)+50
=35.100+50
=3500+50
=3550
c)\(16+\left(5^{16}:5^{14}-9^0\right)\)
\(=16+\left(5^2-9^0\right)\)
\(=16+\left(25-1\right)\)
\(=16+24\)
\(=40\)
d)\(24.7-[181-\left(13-4\right)^2]\)
\(=24.7-[181-9^2]\)
\(=24.7-[181-81]\)
\(=24.7-100\)
\(=168-100\)
\(=68\)
\(\Leftrightarrow2.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{47}-\frac{1}{49}\right)+4x=7.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}\right)\)\(\Leftrightarrow2.\left(1-\frac{1}{49}\right)+4x=7.\left(1-\frac{1}{99}\right)\)
\(\Leftrightarrow2.\frac{48}{49}+4x=7.\frac{98}{99}\)
\(\Leftrightarrow\frac{96}{49}+4x=\frac{686}{99}\)
\(\Leftrightarrow4x=\frac{686}{99}-\frac{96}{49}\)
\(\Leftrightarrow4x=4,970109256\)
\(\Leftrightarrow x=4,970109256:4\)
\(\Leftrightarrow x=1,242527314\)
\(5^{16}:5^{14}+3^2+2000^0\)
\(=5^2+3^2+2000^0\)
\(=25+9+1\)
\(=35\)
\(3^{96}:3^{95}+2.2^3+1^{2024}\)
\(=3^1+2^4+1\)
\(=3+16+1\)
\(=20\)