试题

题目:
计算:
(1)23-17-(-7)+(-16);
(2)-5+6÷(-2)×
1
3

(3)-36×(
1
4
-
1
9
-
1
12
)÷(-2)

(4)-23+|5-8|+24÷(-3).
答案
解:(1)原式=23-17+7-16
=23+7-17-16
=30-33
=-3;

(2)原式=-5+(-3)×
1
3

=-5-1
=-6;

(3)原式=[-36×
1
4
-(-36)×
1
9
-(-36)×
1
12
]÷(-2)
=[-9-(-4)-(-3)]÷(-2)
=[-9+4+3]÷(-2)
=(-2)÷(-2)
=1;

(4)原式=-8+3+(-8)
=-8-8+3
=-16+3
=-13.
解:(1)原式=23-17+7-16
=23+7-17-16
=30-33
=-3;

(2)原式=-5+(-3)×
1
3

=-5-1
=-6;

(3)原式=[-36×
1
4
-(-36)×
1
9
-(-36)×
1
12
]÷(-2)
=[-9-(-4)-(-3)]÷(-2)
=[-9+4+3]÷(-2)
=(-2)÷(-2)
=1;

(4)原式=-8+3+(-8)
=-8-8+3
=-16+3
=-13.
考点梳理
有理数的混合运算.
(1)把加减混合运算改为简写形式,归类计算;
(2)先算除法,再算乘法,最后算加法;
(3)先利用乘法分配律简算乘法,再算除法;
(4)先算乘方、绝对值、除法,再算加减混合运算.
此题考查有理数的混合运算,搞清运算顺序,正确判定每一步的运算符号.
找相似题