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=312.(-18)-312.81-312.1
=312.[(-18)-81-1]
=312.(-100)
=-31200
312.(-18)+(-312).81-312
=312.(-18)+312.(-81)-312
=312.[(-18)+(-81)-1]
=312.[(-99)-1]
=312.(-100)
=-31200
\(-\left(870+312\right)+\left(-530+312\right)\)
\(=-870-312+\left(-530\right)+312\)
\(=-1400\)
Bài 1:
a, \(64^2=\left(2^6\right)^2=2^{12}\)
\(32^5=\left(2^5\right)^5=2^{25}\)
\(2^{12}< 2^{25}\Rightarrow64^2< 32^5\)
b, \(10^5=\left(5.2\right)^5=5^5.2^5\)
\(5^{10}=5^{5+5}=5^5.5^5\)
\(5^5.2^5< 5^5.5^5\Rightarrow10^5< 5^{10}\)
c, 256^ mấy thế hả bạn?
d, \(9^{200}=\left(9^2\right)^{100}=81^{100}\)
\(81^{100}>10^{100}\Rightarrow9^{200}>10^{100}\)
Bài 2:
\(9.27^2.81^3.216\)
\(=3^2.\left(3^3\right)^2.\left(3^4\right)^3.2^3.3^3\)
\(=3^2.3^6.3^{12}.3^3.2^3\)
\(=3^{2+6+12+3}.2^3\)
\(=3^{23}.2^3\)
a)(-45).312-312-54.312
=312.[(-45)-1-54]
=312.(-100)
=-31200
b)217.(-46)-217.15-217.40+27
=217.[(-46)-15-40]+27
=217.(-101)+27
=217.[(-100)+(-1)]+27
=-21700+(-217)+27
=-21700+(-190)
=-21890
-43.15+43.48-48.43+48.15
=(-43.15+48.15)-(43.48-48.43)
=5.15-0=75
a)|x|<8
=>|x| E {0;1;2;3;4;5;;6;7}
=>x E {0;-1;1-2;2;-3;3;-4;4;-5;5;-6;6;-7;7}
b)2009+[312+(-2009)+(-312)]
=2009+312+(-2009)+(-312)
=[2009+(-2009)]+[312+(-312)]=0+0=0
tick đi
\(100-\left(1+\frac{1}{2}+\frac{1}{3}+....+\frac{1}{100}\right)\)
\(=(1-1)+\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{3}\right)+...\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{2}+\frac{2}{3}...+\frac{99}{100}\)
=78/25
\(\dfrac{312}{100}\) = 312% = \(\dfrac{78}{25}\)