试题

题目:
计算题:
(1)3
1
2
+(-
1
2
)-(-
1
3
)+2
2
3

(2)(
2
3
-
1
4
-
3
8
+
5
24
)×48

(3)-18÷(-3)2+5×(-
1
2
)2
-(-15)÷5
(4)[-38-(-1)7+(-3)8]×[-52].
答案
解:(1)3
1
2
+(-
1
2
)-(-
1
3
)+2
2
3

=(3
1
2
-
1
2
)+(
1
3
+2
2
3

=3+3
=6;

(2)(
2
3
-
1
4
-
3
8
+
5
24
)×48

=32-12-18+10
=42-30
=12;

(3)-18÷(-3)2+5×(-
1
2
)2
-(-15)÷5
=-18÷9+5×
1
4
+3
=-2+1.25+3
=2.25;

(4)[-38-(-1)7+(-3)8]×[-52]
=[-38+38+1]×(-25)
=1×(-25)
=-25.
解:(1)3
1
2
+(-
1
2
)-(-
1
3
)+2
2
3

=(3
1
2
-
1
2
)+(
1
3
+2
2
3

=3+3
=6;

(2)(
2
3
-
1
4
-
3
8
+
5
24
)×48

=32-12-18+10
=42-30
=12;

(3)-18÷(-3)2+5×(-
1
2
)2
-(-15)÷5
=-18÷9+5×
1
4
+3
=-2+1.25+3
=2.25;

(4)[-38-(-1)7+(-3)8]×[-52]
=[-38+38+1]×(-25)
=1×(-25)
=-25.
考点梳理
有理数的混合运算.
(1)先算同分母分数,再相加即可求解;
(2)直接运用乘法的分配律计算;
(3)按照有理数混合运算的顺序,先乘方后乘除最后算加减,有括号的先算括号里面的;
(4)先变形为[-38+38+1]×(-25),再抵消法计算.
本题考查的是有理数的运算能力.注意:
(1)要正确掌握运算顺序,在混合运算中要特别注意运算顺序:先三级,后二级,再一级;有括号的先算括号里面的;同级运算按从左到右的顺序;
(2)去括号法则:--得+,-+得-,++得+,+-得-.
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