Tính 1 cách hợp lí:
a) 17.[29-( -111)]+ 29. (-17).
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a) Ta có: \(17\cdot\left[29-\left(-111\right)\right]+29\cdot\left(-17\right)\)
\(=17\cdot\left[29+111-29\right]\)
\(=17\cdot111=1887\)
b) Ta có: \(19\cdot43+\left(-20\right)\cdot43-\left(-40\right)\)
\(=43\cdot\left(19-20\right)+40\)
\(=-43+40=-3\)
a.17⋅(29−(−111)]+29⋅(−17)17⋅(29−(−111))+29⋅(−17)
=17⋅(29+111)−29⋅17=17⋅(29+111)−29⋅17
=17⋅(29+111−29)=17⋅(29+111−29)
=17⋅(29−29+111)=17⋅(29−29+111)
=17⋅111=17⋅111
=2997=2997
b.19⋅43+(−20)⋅43−(−40)19⋅43+(−20)⋅43−(−40)
=19⋅43−20⋅43+40=19⋅43−20⋅43+40
=43(19−20)+40
\(a.\)
\(\dfrac{27}{13}-\dfrac{106}{111}+-\dfrac{5}{111}=\dfrac{27}{13}-\dfrac{106}{111}-\dfrac{5}{111}=\dfrac{27}{13}-\left(\dfrac{106+6}{111}\right)=\dfrac{27}{13}-1=\dfrac{14}{13}\)
\(b.\)
\(\dfrac{12}{11}-\dfrac{-7}{19}+\dfrac{12}{19}=\dfrac{12}{11}+\dfrac{7}{19}+\dfrac{12}{19}=\dfrac{12}{11}+1=\dfrac{23}{11}\)
\(c.\)
\(\dfrac{5}{17}-\dfrac{25}{31}+\dfrac{12}{17}+-\dfrac{6}{31}=\left(\dfrac{5}{17}+\dfrac{12}{17}\right)-\left(\dfrac{25}{31}+\dfrac{6}{31}\right)=1-1=0\)
a) \(\dfrac{27}{13}-\dfrac{106}{111}+\dfrac{-5}{111}=\dfrac{27}{13}+\left(\dfrac{-106}{111}+\dfrac{-5}{111}\right)=\dfrac{27}{13}+-1=\dfrac{14}{13}\)
b) \(\dfrac{12}{11}-\dfrac{-7}{19}+\dfrac{12}{19}=\dfrac{12}{11}+\left(\dfrac{7}{19}+\dfrac{12}{19}\right)=\dfrac{12}{11}+1=\dfrac{23}{11}\)
c)\(\dfrac{5}{17}-\dfrac{25}{31}+\dfrac{12}{17}+\dfrac{-6}{31}=\left(\dfrac{5}{17}+\dfrac{12}{17}\right)+\left(\dfrac{-25}{31}+\dfrac{-6}{31}\right)=1+-1=0\)
a) 4.(1 930 + 2 019) + 4.(-2 019)
= 4.(1 930 + 2 019 - 2 019)
= 4.1 930
= 7 720
b) (-3).(-17) + 3.(120 - 17)
= 3.17 + 3.(120 - 17)
= 3.(17 + 120 - 17)
= 3.120
= 360
a) 12 + 13 + 14 - 15 - 16 - 17
= (12 - 15) + (13 - 16) + (14 - 17)
= (-3) + (-3) + (-3) = -9
b) (35 - 17) - (25 - 7 + 22)
= 35 - 17 - 25 + 7 - 22
= (35 - 25) - (17 - 7) - 22
= 10 - 10 - 22 = -22
\(a)\left(-17\right)+\left(-23\right)+44=-40+44=4\)
\(b)\left(-39\right)+\left(-16\right)+39=\left[\left(-39\right)+39\right]+\left(-16\right)=0+\left(-16\right)=-16\)
17.(29-(-111))+29.(-17)
=17⋅(29+111)+(−17)⋅29
=17⋅140−17⋅29
=17(140-29)
=17.111
=1887
17.[29 - (-111)] + 29.(-17)
= 17.29 + 17.111 + 29.(-17)
= (17.29 - 29.17) + 17.111
= 0 + 1887
= 1887