问题 解答题
计算下列各题,能简算的要简算
(1)37.68-5.72-78.63-4.28
(2)112×(24-4
4
5
)÷24
(3)1993÷1993
1993
1995

(4)1÷(2÷3)÷(3÷4)÷(4÷5)÷…÷(1999÷2000)
答案

(1)37.68-5.72-78.63-4.28,

=(37.68-78.63)-(5.72+4.28),

=-40.95-10,

=-50.95;

(2)112×(24-4

4
5
)÷24,

=112×19.2÷24,

=2150.4÷24,

=89.6;

(3)1993÷1993

1993
1995

=1993÷(1993+

1993
1995
),

=1993÷[1993×(1+

1
1995
)],

=1993÷[1993×

1996
1995
],

=1993÷1993÷

1996
1995

=1÷

1996
1995

=

1995
1996

(4)1÷(2÷3)÷(3÷4)÷(4÷5)÷…÷(1999÷2000),

=1÷

2
3
÷
3
4
÷
4
5
÷…÷
1998
1999
÷
1999
2000

=1÷(

2
3
×
3
4
×
4
5
×…×
1998
1999
×
1999
2000
),

=1÷

2
2000

=1000.

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