Tính hợp lí:
-136 . (64-95) - 64 . (-95-136)
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Tính bằng cách hợp lý nhất:
\(a)\)\(-64.159+136.\left(-8\right)^2+123.64\)
\(=64.\left(-159\right)+136.64+123.64\)
\(=64.\left(-159+123+136\right)\)
\(=64.100\)
\(=6400\)
\(b)\)\(84.\left(16-37\right)-16.\left(37+84\right)\)
\(=84.16-84.37-16.37-16.84\)
\(=84.\left(16-16\right)-37.\left(84+16\right)\)
\(=84.0-37.100\)
\(=0-3700\)
\(=-3700\)
\(1+2+3+...+2005+2006=\left[\left(2006-1\right):1+1\right].\left(2006+1\right):2.\)
\(=2006.2007:2\)
\(=2013021\)
\(5+10+...+2000+2005=\left[\left(2005-5\right):5+1\right].\left(2005+5\right):2.\)
\(=401.2010:2\)
\(=403005\)
\(140+136+....+64+60=\left[\left(140-60\right):16+1\right].\left(140+60\right):2.\)
\(=6.200:2\)
\(=600\)
a) \(56^2+44^2+2.56.44=56^2+2.56.44+44^2=\left(56+44\right)^2=100^2=10000\)
b) \(36^2+64^2+72.64=36^2+2.36.64+64^2=\left(36+64\right)^2=100^2=10000\)
c) \(136^2+36^2-72.136=136^2-2.36.136+36^2=\left(136-36\right)^2=100^2=10000\)
a) $56^2+44^2+2.56.44=56^2+2.56.44+44^2=\left(56+44\right)^2=100^2=10000$562+442+2.56.44=562+2.56.44+442=(56+44)2=1002=10000
b) $36^2+64^2+72.64=36^2+2.36.64+64^2=\left(36+64\right)^2=100^2=10000$362+642+72.64=362+2.36.64+642=(36+64)2=1002=10000
c) $136^2+36^2-72.136=136^2-2.36.136+36^2=\left(136-36\right)^2=100^2=10000$
\(136.\left(143+157\right)+157.64+143.64\)
\(=136.300+157.64+143.64\)
\(=136.300+64.\left(157+143\right)\)
\(=136.300+64.300\)
\(=300.\left(136+64\right)\)
\(=300.200\)
\(=60000\)
Thế này mới đúng :
136 . ( 143 + 157 ) + 157 . 64 + 143 . 64
= 136 . 300 + ( 157 + 143 ) . 64
= 40800 + 300 . 64
= 40800 + 19200
= 60000
A = 2014 x (128 x 68 - 64 x 136) + 2015
A=2014x(8704-8704)+2015
A=2014x0+2015
A=0+2015
A=2015
\(-136\cdot(64-95)-64\cdot(-95-136)\\=-136\cdot64+(-136)\cdot(-95)+(-64)\cdot(-95)+(-64)\cdot(-136)\\=-136\cdot64+136\cdot95+64\cdot95+64\cdot136\\=(-136\cdot64+64\cdot136)+(136\cdot95+64\cdot95)\\=0+95\cdot(136+64)\\=95\cdot200\\=19000\)