解:(1)原式=
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-
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+
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-
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=
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-
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=3-6=-3;
(2)原式=-21-16-5=-37-5=-42;
(3)原式=-8×
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×
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=-8;
(4)原式=
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×8-
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×
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-
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×
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=6-1-
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=
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;
(5)原式=-
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×
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-8÷2=-2-4=-6;
(6)原式=
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×(-36)-
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×(-36)+
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×(-36)=-8+9-2=1-2=-1;
(7)原式=-9×
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-[25×(-
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)-240×(-
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)×
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-2]
=-3-(-15+15-2)=-3+2=-1;
(8)原式=
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×(-
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)-
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×(-
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)=-1+1=0;
(9)原式=-1-
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×
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×(2-9)=-1-
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×(-7)=-1+
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=
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;
(10)原式=-9-125×
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-18÷9=-9-20-2=-31;
(11)原式=-1-(-
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)×
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-8=-1+2-8=-7;
(12)原式=(37.15-47.65)×2
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-10.5×7
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=-10.5×
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-10.5×
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=-10.5×(
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+
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)
=-10.5×10
=-105.
分析:(1)(2)(5)(8)可直接按照有理數(shù)的混合運算進行;
(3)(7)(9)(10)(11)按照有理數(shù)混合運算的順序,先乘方后乘除最后算加減,有括號的先算括號里面的;
(4)(6)可利用分配律計算;
(12)可利用結(jié)合律進行運算,最后得出結(jié)果.
點評:本題考查的是有理數(shù)的運算.注意:要正確掌握運算順序,即乘方運算(和以后學(xué)習(xí)的開方運算)叫做三級運算;乘法和除法叫做二級運算;加法和減法叫做一級運算.在混合運算中要特別注意運算順序:先三級,后二級,再一級;有括號的先算括號里面的;同級運算按從左到右的順序.