试题

题目:
计算.
(1)-42÷(-2)2×
1
5

(2)-1.53×0.75+0.53×
3
4
-3.4×0.75

(3)-(1-0.5)÷
1
3
×[2+(-4)2]

(4)(-5)×(-
3
5
)+32÷(-22)×(-1
1
4
)

答案
解:(1)-42÷(-2)2×
1
5

=-16÷4×
1
5

=-
4
5


(2)-1.53×0.75+0.53×
3
4
-3.4×0.75

=(-1.53+0.53-3.4)×0.75
=-4.4×0.75
=-3.3;

(3)-(1-0.5)÷
1
3
×[2+(-4)2]

=-
1
2
÷
1
3
×[2+16]
=-
1
2
÷
1
3
×18
=-27;

(4)(-5)×(-
3
5
)+32÷(-22)×(-1
1
4
)

=3+32÷(-4)×(-
5
4

=3+10
=13.
解:(1)-42÷(-2)2×
1
5

=-16÷4×
1
5

=-
4
5


(2)-1.53×0.75+0.53×
3
4
-3.4×0.75

=(-1.53+0.53-3.4)×0.75
=-4.4×0.75
=-3.3;

(3)-(1-0.5)÷
1
3
×[2+(-4)2]

=-
1
2
÷
1
3
×[2+16]
=-
1
2
÷
1
3
×18
=-27;

(4)(-5)×(-
3
5
)+32÷(-22)×(-1
1
4
)

=3+32÷(-4)×(-
5
4

=3+10
=13.
考点梳理
有理数的混合运算.
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.
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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