试题

题目:
计算:
(1)22+|-1|-3;
(2)(-5
5
7
)÷(-5)

(3)-(3-5)+32×(1-3);
(4)(-2)3+(-3)-(-3)2÷(-2)
答案
解:(1)原式=4+1-3
=2;

(2)原式=5
5
7
×
1
5

=5×
1
5
+
5
7
×
1
5

=1
1
7


(3)原式=-(-2)+9×(-2)
=2-18
=-16;

(4)原式=-8-3-9÷(-2)
=-11+4.5
=-6.5.
解:(1)原式=4+1-3
=2;

(2)原式=5
5
7
×
1
5

=5×
1
5
+
5
7
×
1
5

=1
1
7


(3)原式=-(-2)+9×(-2)
=2-18
=-16;

(4)原式=-8-3-9÷(-2)
=-11+4.5
=-6.5.
考点梳理
有理数的混合运算.
(1)先算乘方和绝对值,再算加减;
(2)先判定符号,再利用乘法分配律简算;
(3)先算乘方和括号里面的运算,再算乘法,最后算加法;
(4)先算乘方,再算除法,最后算加减.
此题考查有理数的混合运算,注意运算符号和结果的符号,正确按运算顺序计算即可.
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