tính tích sau 1 cách hợp lí
125 . 1008
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\(125:25+12.4=5+48=53\)
\(25-\left(62-75\right)+38=25+13+38=76\)
\(\left(1-\frac{1}{1007}\right)\left(1-\frac{1}{1008}\right)\left(1-\frac{1}{1009}\right)\left(1-\frac{1}{1010}\right)\left(1-\frac{1}{1011}\right)\left(1-\frac{1}{1012}\right)\)
\(=\frac{1006}{1007}\cdot\frac{1007}{1008}\cdot\frac{1008}{1009}\cdot\frac{1009}{1010}\cdot\frac{1010}{1011}\cdot\frac{1011}{1012}\)
\(=\frac{1006\cdot1007\cdot1008\cdot1009\cdot1010\cdot1011}{1007\cdot1008\cdot1009\cdot1010\cdot1011\cdot1012}=\frac{503}{506}\)
=\(\frac{1006}{1007}.\frac{1007}{1008}.....\frac{1011}{1012}\)
=\(\frac{1006}{1012}\)
=\(\frac{503}{506}\)
nếu sai sót mong mọi người sửa lỗi đúng thì ủng hộ
Ta có: \(\left(1-\frac{1}{1007}\right)\times\left(1-\frac{1}{1008}\right)\times...\times\left(1-\frac{1}{1011}\right)\times\left(1-\frac{1}{1012}\right)\)
\(=\frac{1006}{1007}\times\frac{1007}{1008}\times...\times\frac{1010}{1011}\times\frac{1011}{1012}\)
\(=\frac{1006}{1012}=\frac{503}{506}\)
\(\left(1-\frac{1}{1007}\right)\cdot\left(1-\frac{1}{1008}\cdot\right)...\cdot\left(1-\frac{1}{1011}\right)\cdot\left(1-\frac{1}{1012}\right)\)
\(=\frac{1006}{1007}\cdot\frac{1007}{1008}\cdot...\cdot\frac{1010}{1011}\cdot\frac{1011}{1012}\)
\(=\frac{1006.1007\cdot..\cdot2010\cdot2011}{1007\cdot1008\cdot....\cdot1011.1012}\)
\(=\frac{1006}{1012}\)
\(=\frac{503}{506}\)
a, 1008 + 1008 + 1008 + 1008 + 1008 - 1008 × 5
=1008x5-1008x5
=1008x(5-5)
=1008x0
=0
b,66-6+6+6+6+6+6+6+6+6+6
=66-6x10
=66-60
=6
a) \(14.50=7.2.50=7.100=700\)
b) \(16.125=2.8.125=2.1000=2000\)
c) \(9.4.25\)
\(=9.6.4.25\)
\(=54.1000\)
\(=5400\)
d) \(12.125.54=3.4.125.2.27=3.27.4.2.125\)
\(=81.8.125\)
\(=81.1000\)
\(=81000\)
\(a,14.50=14.100:2=1400:2=700\\ b,16.125=\left(16:8\right).\left(125.8\right)=2.1000=2000\\ c,9.24.25=9.6.4.25=54.100=5400\\ d,12.125.54=\left(3.4\right).125.\left(27.2\right)=\left(3.27\right).\left(4.2.125\right)=81.1000=81000\)
=(125.8).(1008:8)
=1000.126
=126000