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32.27 + 47.73 + 27.15
= (32.27+27.15)+47.73
=27.(32+15)+47.73
= 27.47 + 47.73
= 47.(27+73)
= 47. 100
=4700
=[(-114456)+(-863440)]:[2368+(-768)]
=(-977896):1600
=-611185
\(2.21.18+12.9+76.36\)
\(=36.21+36.3+76.36\)
\(=36.\left(21+3+76\right)\)
\(=36.100=3600\)
a) -2008.57 + 1004.(-86)
= -2.1004.57 + 1004.(-86)
= 1004.(-114) + 1004.(-86)
= 1004.(-114 - 86)
= 1004.(-200)
= -200800.
b) 32.74 + 16.(-48)
= 2.16.74 + 16.(-48)
= 148.16 + 16.(-48)
= 16.(148 - 48)
= 16.100
= 1600.
-2008,57 + 1004.(-86)
=1004.(-2).57 + 1004.(-86)
=1004.[(-2).57 + (-86)]
=1004.(-200)
=-200800
32.74 + 16.(-48)
=16.148 + 16.(-48)
=16.[148 + (-48)]
=16.100
=1600
(-31).13+(-91).5+131+(-5)+9
= (-403)+(-455)+(-5)+9
= -863+9
=-854
\(a,23\cdot125+78\cdot125-125\\ =125\cdot\left(23+78-1\right)\\ =125\cdot100\\ =12500\\ b,37\cdot46+18\cdot54-17\cdot46+54\cdot2\\ =46\cdot\left(37-17\right)+54\cdot\left(18+2\right)\\ =46\cdot20+54\cdot20\\ =20\cdot\left(46+54\right)\\ =20\cdot100\\ =2000\\ b,3\cdot2^2-2^3:2+2^2\\ =3\cdot4-4+4\\ =12\\ d,7^3\cdot9+3^2\cdot7^4\\ =7^3\cdot9+7^4\cdot9\\ =7^3\cdot9\cdot\left(1+7\right)\\ =343\cdot9\cdot8\\ =24696\)
a) \(23\cdot125+78\cdot125-125\)
\(=125\cdot\left(23+78-1\right)\)
\(=125\cdot100\)
\(=12500\)
b) \(37\cdot46+18\cdot54-17\cdot46+54\cdot2\)
\(=54\cdot\left(18+2\right)+46\cdot\left(37-17\right)\)
\(=54\cdot20+46\cdot20\)
\(=54\cdot\left(20+46\right)\)
\(=20\cdot100\)
\(=2000\)
c) \(3\cdot2^2-2^3:2+2^2\)
\(=3\cdot2^2-2^2+2^2\)
\(=3\cdot2^2\)
\(=3\cdot4\)
\(=12\)
d) \(7^3\cdot9+3^2\cdot7^4\)
\(=7^3\cdot3^2+3^2\cdot7^4\)
\(=7^3\cdot3^2\cdot\left(1+7\right)\)
\(=24696\)
(-32).74-32.27+32
=32.(-74)-32.27+32
=32.[(-74)-27+1]
=32.(-100)
=-3200
\(-32\cdot74-32\cdot27+32\)
\(=32\left(-74-27+1\right)\)
\(=32\cdot\left(-100\right)\)
=-3200