546-398 457+199 (
3
7
+
5
21
+
2
14
)×21
2.2×101 5.4×99+5.4 32×0.125×25
4.27×
1
8
+4.73÷8+
1
8
(4
3
4
×
3
7
+4.75×
4
7
)÷12
2
3
(10.25-5.72-4.28)×
16
25
12.75×
1
11
-1.75÷11
分析:靈活運用乘法結(jié)合率,加法運算的交換律、結(jié)合律來進(jìn)行計算.
解答:解:546-398=148,
457+199=656,
3
7
+
5
21
+
2
14
)×21,
=
3
7
×21+
5
21
×21
+
1
7
×21

=9+5+3,
=17;
2.2×101,
=2.2×(100+1),
=2.2×100+2.2×1,
=220+2.2,
=222.2;
5.4×99+5.4,
=5.4×(99+1),
=5.4×100,
=540;
32×0.125×25,
=4×8×0.125×25,
=(4×25)×(0.125×8),
=100×1,
=100;
4.27×
1
8
+4.73÷8+
1
8

=4.27×
1
8
+4.73×
1
8
+
1
8

=
1
8
×(4.27+4.73+1),
=
1
8
×10,
=1.25;
4
3
4
×
3
7
+ 4.75×
4
7
÷12
2
3
,
=(4.75×
3
7
+ 4.75×
4
7
÷
38
3
,
=4.75×(
3
7
+
4
7
)×
3
38
,
=
19
4
×
3
38

=
3
8
;
(10.25-5.72-4.28)×
16
25
,
=[10.25-(5.72+4.28)]×
16
25
,
=
1
4
×
16
25
,
=
4
25
;
12.75×
1
11
-1.75÷11

=12.75×
1
11
-1.75×
1
11
,
=
1
11
×(12.75-1.75),
=
1
11
×11,
=1.
點評:此題考查了運算定律和簡便計算.
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