题目内容

299×101 0.125×32×2.5
2
3
7
+3
5
7
-3
3
7
+1
4
7
+1
4
7
2002×
2000
2001
24.6×4.6+246×0.44+24.6 12
2
5
-2
2
5
×3
3
4
÷2
1
2
16
23
×27+16×
16
23
0.65×6.4-6.5×0.54+65×9%
9900÷25÷4 9999
1
5
+999
1
5
+99
1
5
+9
1
5
+4
4
5
3
4
×98+
3
4
×2
3
5
×98+2÷
5
3
11-
7
11
-(
4
11
×
8
15
+
4
11
×
7
15
7
30
×8+
7
30
×3-
7
30
2
3
+4-(
2
3
+
5
7
35×
7
10
+35×
1
5
+35×
1
2
1999+999×999 2.25×1.8+17.5×0.18
20.07×1994-19.93×2007
1
3
+
1
6
+
1
9
)÷
1
36
分析:(1)把101看作100+1,运用乘法分配律简算;
(2)把每个分数拆成整数加分数的形式,简算即可;
(3)(4)(6)(7)(10)(14)(17)(18)(19)运用乘法分配律简算;
(5)运用除法的性质简算;
(8)运用减法的性质以及加法交换律与结合律简算;
(9)把1999看作1000+999,运用乘法分配律简算;
(11)把32看作8×4,运用乘法结合律简算;
(12)把2002看作2001+1,运用乘法结合律简算;
(13)先算乘除,再算减法;
(15)把带分数拆成整数加分数的形式,运用加法交换律与结合律简算;
(16)(20)把除法改为乘法,运用乘法结合律简算.
解答:解:(1)299×101,
=299×(100+1),
=299×100+299,
=29900+299,
=30199;

(2)2
3
7
+3
5
7
-3
3
7
+1
4
7
+1
4
7

=(2+3-3+1+1)+(
3
7
+
5
7
-
3
7
+
4
7
+
4
7
),
=4+
13
7

=5
5
7


(3)24.6×4.6+246×0.44+24.6,
=24.6×4.6+24.6×4.4+24.6,
=24.6×(4.6+4.4+1),
=24.6×10,
=246;

(4)
16
23
×27+16×
16
23

=
16
23
×(27+16),
=
16
23
×43,
=
688
23


(5)9900÷25÷4,
=9900÷(25×4),
=9900÷100,
=99;

(6)
3
4
×98+
3
4
×2,
=
3
4
×(98+2),
=
3
4
×100,
=75;

(7)11-
7
11
-(
4
11
×
8
15
+
4
11
×
7
15
),
=11-
7
11
-
4
11
×(
8
15
+
7
15
),
=11-
7
11
-
4
11
×1,
=11-(
7
11
+
4
11
),
=11-1,
=10;

(8)
2
3
+4-(
2
3
+
5
7
),
=
2
3
+4-
2
3
-
5
7

=(
2
3
-
2
3
)+(4-
5
7
),
=3
2
7


(9)1999+999×999,
=1000+999+999×999,
=1000+999×(1+999),
=1000+999×1000,
=1000+999000,
=1000000;

(10)20.07×1994-19.93×2007,
=20.07×1994-1993×20.07,
=20.07×(1994-1993),
=20.07×1,
=20.07;

(11)0.125×32×2.5,
=0.125×8×4×2.5,
=(0.125×8)×(4×2.5),
=1×10,
=10;

(12)2002×
2000
2001

=(2001+1)×
2000
2001

=2000+
2000
2001

=2000
2000
2001


(13)12
2
5
-2
2
5
×3
3
4
÷2
1
2

=12
2
5
-
12
5
×
15
4
×
2
5

=12
2
5
-3
3
5

=8
4
5


(14)0.65×6.4-6.5×0.54+65×9%,
=0.65×6.4-0.65×5.4+0.65×9,
=0.65×(6.4-5.4+9),
=0.65×10,
=6.5;

(15)9999
1
5
+999
1
5
+99
1
5
+9
1
5
+4
4
5

=(9999+999+99+9+4)+(
1
5
+
1
5
+
1
5
+
1
5
+
4
5
),
=[(10000-1)+(1000-1)+(100-1)+(10-1)+4]+1.6,
=11110-4+4+1.6,
=11110+1.6,
=11111.6;

(16)
3
5
×98+2÷
5
3

=
3
5
×98+2×
3
5

=
3
5
×(98+2),
=
3
5
×100,
=60;

(17)
7
30
×8+
7
30
×3-
7
30

=
7
30
×(8+3-1),
=
7
30
×10,
=
7
3


(18)35×
7
10
+35×
1
5
+35×
1
2

=35×(
7
10
+
1
5
+
1
2
),
=35×
7
5

=49;

(19)2.25×1.8+17.5×0.18,
=2.25×1.8+1.75×1.8,
=(2.25+1.75)×1.8,
=4×1.8,
=7.2;

(20)(
1
3
+
1
6
+
1
9
)÷
1
36

=(
1
3
+
1
6
+
1
9
)×36,
=
1
3
×36+
1
6
×36+
1
9
×36,
=12+6+4,
=22.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.
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