(1)(
4
17 +
1
25 )×17×25,
=(
4
17 +
1
25 )×(17×25),
=(
4
17 ×17×25)+(
1
25 ×25×17),
=(4×25)+(1×17),
=100+17,
=117;
(2)8.1÷[( 4
1
7 -0.005×700)÷ 1
2
7 +3],
=8.1÷[( 4
1
7 -3.5)÷ 1
2
7 +3],
=8.1÷[
9
14 ÷ 1
2
7 +3],
=8.1÷[
1
2 +3],
=8.1÷3
1
2 ,
=
81
35 ;
(3)1234÷ 1234
1234
1235 ,
=1234÷
1234×1235+1234
1235 ,
=1234÷
1234×(1235+1)
1235 ,
=1234÷
1234×1236
1235 ,
=1234×
1235
1234×1236 ,
=
1235
1236 ;
(4)9999×2222+3334×3333,
=3333×6666+3334×3333,
=3333×(6666+3334),
=3333×10000,
=33330000.