题目内容

10.计算:
(1)45+(-20);
(2)(-8)-(-1);
(3)|-10|+|+8|;
(4)(-12)-5+(-14)-(-39);
(5)0.47-4$\frac{5}{6}$-(-1.53)-1$\frac{1}{6}$;                              
(6)36-76+(-23)-105;                                                  
(7)-20+|-14|-(-18)-13;
(8)(+1.75)+(-$\frac{1}{3}$)+(+$\frac{4}{5}$)+(+1.05)+(-$\frac{2}{3}$)+(+2.2).

分析 根据有理数的加减混合运算法则计算即可.

解答 解:(1)45+(-20)
=25;
(2)(-8)-(-1)
=-8+1
=-7;
(3)|-10|+|+8|
=10+8
=18;
(4)(-12)-5+(-14)-(-39)
=-12-5-14+39
=8;
(5)0.47-4$\frac{5}{6}$-(-1.53)-1$\frac{1}{6}$
=(0.47+1.53)-(4$\frac{5}{6}$+1$\frac{1}{6}$)
=2-6
=-4;
(6)36-76+(-23)-105
=36-(76+23+105)
=36-204
=-168;
(7)-20+|-14|-(-18)-13
=-20-13+14+18
=-33+32
=-1;
(8)(+1.75)+(-$\frac{1}{3}$)+(+$\frac{4}{5}$)+(+1.05)+(-$\frac{2}{3}$)+(+2.2)
=(1.75+1.05)+(0.8+2.2)-($\frac{1}{3}$+$\frac{2}{3}$)
=2.8+3-1
=4.8.

点评 本题考查的是有理数的加减混合运算,掌握有理数的加减混合运算法则是解题的关键.

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