Thực hiện phép tính:
a ) − 2 3 . 5 17 + − 2 3 . 12 17 + 2 3 b ) 3 4 . 9 13 + 3 4 . 7 13 − 3 4 . 3 13 c ) − 7 12 . 5 11 + − 7 12 . 5 11 − 1 3 d ) − 1 5 . 4 7 + − 1 5 .1 3 7 + − 2 5 1
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\(a.\dfrac{-42}{12}+\dfrac{9}{12}-\dfrac{17}{12}=-\dfrac{25}{6}\)
\(b.-\dfrac{1}{12}-\dfrac{5}{4}+\dfrac{1}{3}=-\dfrac{1}{12}-\dfrac{15}{12}+\dfrac{4}{12}=-1\)
a) \(\dfrac{-7}{2}+\dfrac{3}{4}-\dfrac{17}{12}=\dfrac{-42}{12}+\dfrac{9}{12}-\dfrac{17}{12}=\dfrac{-42+9-17}{12}=-\dfrac{50}{12}=-\dfrac{25}{6}\)
b)\(-\dfrac{1}{12}-\left(2\dfrac{5}{8}-\dfrac{1}{3}\right)=-\dfrac{1}{12}-\left(\dfrac{21}{8}-\dfrac{1}{3}\right)=-\dfrac{2}{24}-\left(\dfrac{63}{24}-\dfrac{8}{24}\right)\)
\(=-\dfrac{2}{24}-\dfrac{63}{24}+\dfrac{8}{24}=-\dfrac{57}{24}=-\dfrac{19}{8}\)
b,\(\frac{2}{3}\)+\(\frac{1}{3}\).(\(\frac{-2}{3}\)+\(\frac{5}{6}\)):\(\frac{2}{3}\)
=\(\frac{2}{3}\)+\(\frac{1}{3}\).(\(\frac{-4}{6}\)+\(\frac{5}{6}\)):\(\frac{2}{3}\)
=\(\frac{2}{3}\)+\(\frac{1}{3}\).\(\frac{1}{6}\).\(\frac{3}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{18}\).\(\frac{3}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{6}\).\(\frac{1}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{12}\)
=\(\frac{8}{12}\)+\(\frac{1}{12}\)
=\(\frac{9}{12}\)=\(\frac{3}{4}\)
\(=\dfrac{11}{17}:\dfrac{19}{40}+\dfrac{11}{17}:\dfrac{23}{20}=\dfrac{11}{17}\cdot\left(\dfrac{40}{19}+\dfrac{20}{23}\right)=\dfrac{11}{17}\cdot\dfrac{1300}{437}=\dfrac{14300}{7429}\)
a) (-25)-(-17)+24-12
=(-25)+17+24-12
=(-25)+(17+24-12)
=(-25)+29
=29-25=4
b) 4.(15-18)-(3-5)3^2
=4.(-3)-2.9
=-12-18
=-(12+18)=-30
a/
(-25)-(-17)+24-12
= -8 + 12
= 4
b/
4.(15-18)-(3-5).32
= 4.(-3)-(-2).9
= -12 - (-18)
= 6
a, 33.( 17- 5) - 17.( 33-5)
= 33.17 - 33.5 - 17.33 + 17.5
= ( 33.17 - 17.33) - ( 33.5 - 17.5)
= 0 - 5.( 33- 17)
= - 5. 16
= - 80
b, 12 + 3.{ 90 : [ 39 - ( 23 - 5)2]
= 12 + 3. { 90 : [ 39 - ( 8-5)2 ]}
= 12 + 3 . { 90 : [ 39 - 32 ]}
= 12 + 3.{ 90 : (39 -9)}
= 12 + 3. { 90 : 30}
= 12 + 3 . 3
= 12 + 9
= 21
c, 307 - [ (180 .40 - 160 ) : 22 + 9] : 2
= 307 - [ ( 180 - 160) : 4 + 9]:2
= 307 - [ 20:4 +9 ] :2
= 307 - [ 5 + 9] : 2
= 307 - 14 : 2
= 307 - 7
= 300
a)5*2^2-18:3=20-6=14
b)17*85+15*17-120=17*(120-85+15)=17*20=340
c2^3*17-2^3*14=2^3(17-14)=8*3=24
-3/17+(2/3+3/17)
=-3/17+2/3+3/17
=(-3/17+3/17)+2/3
=0+2/3
=2/3
a ) − 5 7 . 3 11 + − 5 7 . 8 11 + 5 7 = − 5 7 . 3 11 + 8 11 − 1 = 0
b ) 5 7 . 10 11 + 5 7 . 14 11 − 5 7 . 17 11 = 5 7 . 10 11 + 14 11 − 17 11 = 5 11
c ) − 52 57 d ) 4 3