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a) (68 - 8) . 14 + (-27 - 33) . 15
=60.14+(-60).15
=-60.(15-14)
=-60.1
=-60
b) 37 . (55 - 49) - 49 . (55 - 37)
=37.55-37.49-49.55-49.37
=37.55-49.55
=55(37-49)
=55.(-12)
=-660
c) (-4) . 19 . (-8) . (-25) . (125)
=[-4.(-25)].[-8.(-125)].19
=100.1000.19
=1900000
d) 32 . (-125) . 17 . (-25)
=(32.17).[-125.(-25)]
=544.3125
=1700000
42 + 43 + 44 + 45 - 32 - 33 - 34 - 35
= (42 - 32)+(43 - 33)+(44 - 34)+(45 - 35)
= 10+10+10+10
= 40
(64+65+66+67+68) - (54+55+56+57+58)
= 64+65+66+67+68 - 54-55-56-57-58
= (64 - 54)+(65 - 55) +(66 - 56) + (67- 57) + (68 -58)
= 10+10+10+10+10
= 50
\(5^{20}:\left(5^{15}\times15+5^{15}\times10\right)=5^{20}:\left[5^{15}\left(15+10\right)\right]=5^{20}:\left(5^{15}.25\right)=5^{20}:\left(5^{15}.5^2\right)=5^{20}:5^{17}=5^3=125\)
\(33.\left(-55\right)+\left(-33\right).44-33=33.\left(-55\right)+33.\left(-44\right)-33=33\left[\left(-55\right)+\left(-44\right)-1\right]=33.\left(-100\right)=-3300\)
33 x 55 + 33 x 66 - 33 x 21
= 33 x ( 55 + 66 - 21 )
= 33 x 100
= 3300
= \(\dfrac{32}{19}\)(\(\dfrac{17}{33}\)+\(\dfrac{16}{33}\))-\(\dfrac{13}{19}\)(\(\dfrac{16}{33}\)+\(\dfrac{17}{33}\))=\(\dfrac{32}{19}\)-\(\dfrac{13}{19}\)=1
32 . 66 - 32 + 33 + 55
=2112 - 32 + 33 + 55
= 2080 + 33 + 55
= 2113 + 55
= 2168
32.66-32+33+55
=2112-32+33+55
=2080+33+55
=2113+55
=2168