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\(\dfrac{17}{5}.\dfrac{-31}{125}.\dfrac{1}{2}.\dfrac{10}{17}.\dfrac{-1}{2^3}\\= \left(\dfrac{17}{5}.\dfrac{10}{17}\right)\left(\dfrac{-31}{125}.\dfrac{-1}{8}\right).\dfrac{1}{2}\\ =2.\dfrac{31}{1000}.\dfrac{1}{2}\\ =\left(2.\dfrac{1}{2}\right).\dfrac{31}{1000}\\ =1.\dfrac{31}{1000}\\ =\dfrac{31}{1000}\)
5) 125. (−8). (−25). 9.4.1000 : 3
=[125.(-8)].[(-25).4].(9:3).1000
=-1000.(-100).3.1000
=100000.3.1000
=300000.1000
=300000000
6) (−2)3 . 13.125
=-8.13.125
=(-8.125).13
=-1000.13
=-13000
7) 17. (38 − 5) − 38. (17 − 1)
=17 . 33 - 38 . 16
=561-608
=-47
8) (−41). 135 + 135. (−58) − 135
=(-41).135+135.(-58)+135.(-1)
=135.[-41+(-58)+(-1)]
=135.(-100)
=-13500
\(M=\frac{17}{5}\cdot\frac{-31}{125}\cdot\frac{1}{2}\cdot\frac{10}{17}\cdot\frac{-1}{2^3}\)
\(M=\frac{17}{5}\cdot\frac{-31}{125}\cdot\frac{1}{2}\cdot\frac{10}{7}\cdot\frac{-1}{8}\)
\(M=\left(\frac{17}{5}\cdot\frac{10}{17}\cdot\frac{1}{2}\right)\cdot\frac{-31}{125}\cdot\frac{-1}{8}\)
\(M=1\cdot\frac{31}{1000}=\frac{31}{1000}\)
\(P=\frac{6}{7}\cdot\frac{8}{13}+\frac{6}{9}\cdot\frac{9}{7}-\frac{3}{13}\cdot\frac{6}{7}=\frac{6}{7}\cdot\frac{8}{13}+\frac{6}{7}\cdot1-\frac{3}{13}\cdot\frac{6}{7}\)
\(=\frac{6}{7}\left(\frac{8}{13}+1-\frac{3}{13}\right)=\frac{6}{7}\left(\frac{8}{3}+\frac{13}{13}-\frac{3}{13}\right)=\frac{6}{7}\cdot\frac{18}{13}=\frac{108}{91}\)
`17 xx 5 + 3 xx 5 xx 6 - 125`
`= 17 xx 5 + 18 xx 5 - 125`
`= (17 + 18) xx 5 - 125`
`= 35 xx 5 - 125`
`= 175 - 125`
`= 50`
17 x 5 + 3 x 5 x 6 - 125
= 5 x (17 + 18 - 25)
= 5 x (35 - 25)
= 5 x 10
= 50