Câu 1:
a) $17 + (– 51) + ( – 19)=17-70=-53^{}$
b) $ ( – 39).62 + 38.(– 39)=(-39).(62+38)=(-39).100=-3900^{}$
c) $(216 – 305) – ( 16– 305)=216-305-16+305=200^{}$
d) $( – 8).25 .(– 125).9.(-4)=(-8).(-125).25.4.9=1000.100.9=900000^{}$
e) $( – 9)^2 : 3^2 + |– 9| – (– 201)=81:9+9+201=9+210=219^{}$
Câu 2:
a) $35 – (– 51) + ( – 28)=35+51-28=86-28=58^{}$
b) $122.(– 12345) + 12345.(– 78)=12345.(-122-78)=12345.(-200)=-2469000^{}$
c) $(63 + 549) – ( 549– 37)=63+549-549+37=100^{}$
d) $( – 4).(– 20).25.(-5).37=(-4).25.(-20).(-5).37=-100.100.37=-370000^{}$
e) $2357^0– 2^4. 5+ |– 218| – (– 31)=1-80+218+31=(219+31)-80=250-80=170^{}$
Câu 3:
a) $264 + ( - 295 )=-31^{}$
b) $14 . ( - 6 ) + ( -4 ).( - 6 )=(-6).(14-4)=(-6).10=-60^{}$
c) $-15.(-8)+(-5).3-15=-15.(-8+1+1)=-15.(-6)=90^{}$
d) $23.32 -12 +(-16) .6=23.2.16-12-16.6=16(46-6)-12=16.40-12=628^{}$
Câu 4:
a) $235 + (-276)=-41^{}$
b) $216 . (-38) + (-62) . 216=216.(-38-62)=216.(-100)=-21600^{}$
c) $(-125) . (-25) . 8 . (-4) . 62=(-125).8.(-25).(-4).62=-1000.100.62=-6200000^{}$
d) $2016 – 32 .4 + |- 126| - (- 9)=2016-128+126+9=2023^{}$
Câu 5:
a) $264 + ( - 295 )=-31^{}$
b) $14 . ( - 6 ) + ( -4 ).( - 6 )=(-6).(14-4)=(-6).10=-60^{}$
c) $-15.(-8)+(-5).3-15=-15.(-8+1+1)=-15.(-6)=90^{}$
d) $23.32 -12 +(-16) .6=23.2.16-12-16.6=16(46-6)-12=16.40-12=628^{}$
Câu 6:
a) $235 + (-276)=-41^{}$
b) $216 . (-38) + (-62) . 216=216.(-38-62)=216.(-100)=-21600^{}$
c) $(-125) . (-25) . 8 . (-4) . 62=(-125).8.(-25).(-4).62=-1000.100.62=-6200000^{}$
d) $2016 – 32 .4 + |- 126| - (- 9)=2016-128+126+9=2023^{}$
Câu 7:
a) Để $1+n^{}$ là ước của $13^{}$ thì $1+n=±1, 1+n=±13⇔n=0,-2,12,-14^{}$
b) $A = 1 – 3 + 5 - 7 + 9 - 11 + … - 99 + 100=(-2)+(-2)+(-2)+...+(-2)+100=(-2).25+100=100-50=50^{}$
Câu 8:
$A = 2 + ( –5) + 8 + (– 11) +….+ 314 + (– 317) + 320 =(-3)+(-3)+...+(-3)+320=(-3).53+320=161^{}$
Câu 9:
$B = 12 + (– 15 ) + 18 + (– 21) + ….+ 324 + (– 327) + 330=(-3)+(-3)+...+(-3)+330=(-3).53+330=171^{}$