试题

题目:
计算:
(1)(-7.6)×0.5;
(2)(-3
1
2
)×(-2
1
3
);
(3)8×(-
3
4
)×(-4);
(4)21×(-71)×0×43;
(5)(-1
1
2
)×(-1
1
3
)×(-1
1
4
)×(-1
1
5
)-(-1
1
6
)×(-1
1
7
);
(6)(1-
1
2
)×(1+
1
2
)×(1-
1
3
)×(1+
1
3
)×(1-
1
4
)×(1+
1
4
).
答案
解:(1)(-7.6)×0.5=-3.8;

(2)(-3
1
2
)×(-2
1
3
),
=
7
2
×
7
3

=
49
6


(3)8×(-
3
4
)×(-4),
=8×
3
4
×4,
=24;

(4)21×(-71)×0×43=0;

(5)(-1
1
2
)×(-1
1
3
)×(-1
1
4
)×(-1
1
5
)-(-1
1
6
)×(-1
1
7
),
=
3
2
×
4
3
×
5
4
×
6
5
×
7
6
×
8
7

=4;

(6)(1-
1
2
)×(1+
1
2
)×(1-
1
3
)×(1+
1
3
)×(1-
1
4
)×(1+
1
4
),
=
1
2
×
3
2
×
2
3
×
4
3
×
3
4
×
5
4

=
5
8

解:(1)(-7.6)×0.5=-3.8;

(2)(-3
1
2
)×(-2
1
3
),
=
7
2
×
7
3

=
49
6


(3)8×(-
3
4
)×(-4),
=8×
3
4
×4,
=24;

(4)21×(-71)×0×43=0;

(5)(-1
1
2
)×(-1
1
3
)×(-1
1
4
)×(-1
1
5
)-(-1
1
6
)×(-1
1
7
),
=
3
2
×
4
3
×
5
4
×
6
5
×
7
6
×
8
7

=4;

(6)(1-
1
2
)×(1+
1
2
)×(1-
1
3
)×(1+
1
3
)×(1-
1
4
)×(1+
1
4
),
=
1
2
×
3
2
×
2
3
×
4
3
×
3
4
×
5
4

=
5
8
考点梳理
有理数的乘法.
(1)(2)(3)根据有理数的乘法运算法则进行计算即可得解;
(4)根据任何数同0相乘都等于0进行计算即可得解;
(5)把带分数化为假分数,然后利用有理数的乘法运算法则进行计算即可得解;
(6)先算括号里面的,然后根据有理数的乘法运算法则进行计算即可得解.
本题考查了有理数的减法运算,熟记运算法则是解题的关键,计算时把带分数化为假分数可以使计算更加简便,计算时要注意运算符号的处理.
计算题.
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