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Lời giải:
a)
\(-3\frac{5}{8}+\left(-\frac{3}{8}+\frac{9}{4}\right)\)
\(=-\frac{29}{8}+\left(-\frac{3}{8}+\frac{18}{8}\right)\)
\(=-\frac{29}{8}+\frac{15}{8}=-\frac{14}{8}=-\frac{7}{4}\)
b) \(\frac{\left(-9\right)\cdot11+32\cdot\left(-9\right)}{\left(-43\right)\cdot15+12\cdot\left(-43\right)}=\frac{\left(-9\right)\left(11+32\right)}{\left(-43\right)\left(15+12\right)}=\frac{\left(-9\right)\cdot43}{\left(-43\right)\cdot27}=\frac{\left(-1\right)\cdot1}{\left(-1\right)\cdot3}=\frac{1}{3}\)
c) Thay \(x=\frac{2011}{2012}\)vào biểu thức \(x\cdot\frac{1}{3}+2x\cdot\frac{3}{6}-3x\cdot\frac{4}{9}\)ta có :
\(\frac{2011}{2012}\cdot\frac{1}{3}+2\cdot\frac{2011}{2012}\cdot\frac{3}{6}-3\cdot\frac{2011}{2012}\cdot\frac{4}{9}\)
\(=\frac{2011}{2012}\cdot\frac{1}{3}+2\cdot\frac{2011}{2012}\cdot\frac{1}{2}-3\cdot\frac{2011}{2012}\cdot\frac{4}{9}\)
\(=\frac{2011}{6036}+\frac{2011}{2012}-\frac{2011}{1509}\)
\(=\frac{2011}{6036}+\frac{6033}{6036}-\frac{8044}{6036}=\frac{2011+6033-8044}{6036}=0\)
a) \(\left(+5\right).\left(+11\right)=\left(+55\right)\)
b) \(\left(-6\right).9=\left(-54\right)\)
c) \(3.\left(-7\right)=\left(-21\right)\)
d) \(\left(-250\right).\left(-8\right)=\left(+2000\right)\)
e) \(\left(+4\right).\left(-3\right)=\left(-12\right)\)
a)( -11) .(8.9)= (-11) .8 - (-11) .9= 11
b) (-12).10 - (-9) . 10= [ -12 - (-9) ] . 10 = -30
a) (-24) + 6 + 10 + 24
= [(-24) + 24] + 6 + 10
= 0 + 6 + 10
= 16
b) 15 + 23 + (-25) + (-23)
= [15+ (-25)] + [23 +(-23)]
= -10 + 0
= -10
c) (-3) + (-350) + (-7) + 350
=[-350 + 350] + [-3+(-7)]
= 0 + (-10)
= -10
d) (-9) + (-11) +21 + (-1)
= [ (-9) + (-11) ] + [ 21 + (-1)]
= -20 + 20
= 0
a) \(\left(-16\right).12=\left(-192\right)\)
b) \(22.\left(-5\right)=\left(-110\right)\)
c) \(\left(-2500\right).\left(-100\right)=\left(+250000\right)\)
d) \(\left(-11\right)^2=\left(-11\right).\left(-11\right)=\left(+121\right)\)
a, ( - 16 ) . 12 b, 22 . ( - 5 ) c, ( - 2500 ) . ( - 100 )
= - ( 16.12 ) = - ( 22 . 5 ) = 2500 . 100
= - 192 = - 110 = 250000
d, ( -11 )2 = [ ( -11 ) . ( -11 ) ]
= 121
a) 8274++226=8500
b) (−5)+(−11)=(-16)
c) (−43)+(−9)=(-52)
a) \(8274+226=8500\)
b) \(\left(-5\right)+\left(-11\right)=-\left(5+11\right)=-16\)
b) \(\left(-43\right)+\left(-9\right)-\left(43+9\right)=-52\)