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a) -132 + (176+132)
= -132+176+132
= -132+132+176
=0+176
= 176
b) 25. (-5).4.(-8)
= (25.4).[-5.(-8)]
= 100 . 40
= 4000
c) -37.52+37. (-48)
= -37.52+(-37).48
= -37.(52+48)
= -37.100
= -3700
d) 54 - 8.(6-23)
= 54 - 8. (-17)
= 54 - (-136)
= 54 + 136
= 190
e) -85 . 13 + 85 . 113
= 85 . (-13) + 85 . 113
= 85. (-13 + 113)
= 85.100
= 8500
f)2008-(107+2008)-75
= 2008 - 107 - 2008 - 75
= 2008 - 2008 - 107 - 75
= -107 - 75
= -182
Lời giải:
a.
$=-37-x-23+15=-x-(37+23)+15=-x-60+15=-x-(60-15)=-x-45$
b.
$=176-176+x-42=0+x-42=x-42$
c.
$=1270-1270+2x+31=0+2x+31=2x+31$
d.
$=2x-141-231+461=2x-(141+231)+461=2x-372+461$
$=2x+(461-372)=2x+89$
\(B=\frac{1}{1\cdot2\cdot3}+\frac{1}{2\cdot3\cdot4}+\frac{1}{3\cdot4\cdot5}+\frac{1}{18\cdot19\cdot20}\)
\(B=\frac{1}{2}\left(\frac{2}{1\cdot2\cdot3}+\frac{2}{2\cdot3\cdot4}+\frac{2}{3\cdot4\cdot5}+\frac{2}{18\cdot19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{2\cdot3}-\frac{1}{3\cdot4}+\frac{1}{3\cdot4}-\frac{1}{4\cdot5}+...+\frac{1}{18\cdot19}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\cdot\frac{189}{380}=\frac{189}{760}\)
\(C=\frac{52}{1\cdot6}+\frac{52}{6\cdot11}+\frac{52}{11\cdot16}+...+\frac{52}{31\cdot36}\)
\(C=\frac{52}{5}\left(\frac{5}{1\cdot6}+\frac{5}{6\cdot11}+\frac{5}{11\cdot16}+...+\frac{6}{31\cdot36}\right)\)
\(C=\frac{52}{5}\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{31}-\frac{1}{36}\right)\)
\(C=\frac{52}{5}\cdot\left(1-\frac{1}{36}\right)\)
\(C=\frac{91}{9}\)
\(D=316-\left(52\cdot23+24\right):23-3\cdot23\)
\(D=316-\left(1196+24\right):23-69\)
\(D=247-1220:23\)
\(D=247-\dfrac{1220}{23}\)
\(D=\dfrac{4461}{23}\)
2.34 + 23.5 - 7.(52 - 5)
2.81 + 8.5 - 7.(25 -5)
= 162 + 40 - 140
= 162 - 100
= 62
- -23-(-42:6+(3-5)2).-3=-23-(-7+4).-3=-23-9=-32
- -176+(-21-(42+175-(-121))).2=-176+(-21-338).2=-176+(-359).2=-176+(-718)=-894
trình bày lun giúp em
\(=2\cdot25-176:8=50-22=28\)