小学四年级下册简便运算集锦doc文档格式.docx
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=571+1
=572
第十一种
178X101-17883X102-83X217X23-23X735X127-35X16-11X35
=(101-1)X178
=100X178
=17800
第十二种
64÷
(8X2)1300÷
(13X5)480÷
(8X2)
=64÷
8÷
2
=8÷
=4
第十三种625÷
25360÷
24270÷
45
=625÷
5÷
=125÷
=25
第十四种100+45-100+4525+75-25+75423+76-76+77243+85-243+85
=(100-100)+(45+45)
=0+90
=90
第十五种20X4÷
20X425X4÷
25X456X8÷
56X812X6÷
12X6
=(20÷
20)X(4X4)
=1X16
=16
练习:
169+354+231+146987-362-1381347-(347+125)
135+236-135+236198X26148X56-48X56
210÷
15199X37+37215X63-15X63
101X22-22203X14125X33X4
125X16X50365+997452-398
简便运算习题
1.加法交换律(a+b=b+a)
如:
152+389+348
=152+348+399
=500+399
=899
习题:
77+56+23165+477+135154+288+46
2.加法结合律a+b+c=a+(b+c)
591+482+118
=591+(482+118)
=591+600
=1191
285+147+25399+178+122456+588+412692+325+75
3.加法交换律、结合律
32+29+68+41
=32+68+29+41加法交换律
=(32+68)+(29+41)加法结合律
=100+70
=170
(148+64)+(52+136)650+(171+350)+129128+114+86+172
4.乘法交换律a×
b=b×
a
25×
45×
4
=25×
4×
=100×
45
=4500
31×
4125×
27×
840×
69×
25
5.乘法结合律:
a×
b×
c=a×
(b×
c)
78×
125×
8125×
32
=78×
(125×
8)=125×
(8×
4)
1000=125×
8×
4
=78000=4000
52×
72125×
88
25×
3225×
44125×
48
6.乘法交换律、结合律
25
=125×
25乘法交换律
=(125×
8)×
(4×
25)乘法结合律
=1000×
=100000
32
7.乘法分配律:
(b+c)=a×
b+a×
c
57+27×
4327×
99+2727×
99
=27×
(57+43)=27×
(99+1)=27×
(100-1)
100=27×
100-27×
1
=2700=2700=2673
67×
34+67×
66127×
43-27×
101-27
27×
10167×
21+67×
78+6767×
23+67×
78+67-67
12×
340+66×
12025×
85×
10269×
10278×
98
65+65×
995×
87+87+87×
8.减法运算性质;
a-b-c=a-(b+c)=a-c-b
781-178-122721-488-121745-(245+188)
=781-(178+122)=721-121-488=745-245-188
=781-300=600-488=500-188
=481=112=312
456-273-127623-169-223553-(289+153)
772-456+228689-(289-153)136-88+164-112
9.除法运算性质;
a÷
b÷
c=a÷
c)=a÷
c÷
b
720÷
36÷
2
=720÷
(36×
2)
=720÷
72
=10
2700÷
45600÷
563900÷
(39×
综合练习简便运算
怎样简便就怎样算。
一、355+260+140+24598×
10148×
125645-180-245
38×
99+383500÷
14÷
5175×
56+25×
5650×
20×
40
二、368+156+344+132125×
47×
87200÷
444×
96×
58+96×
426300÷
(63×
5)482-(182+50)135×
27+135×
72+135
三、368+156+344+132125×
四、789-136-64132×
29+13298×
83+1663700÷
88×
125048×
125125×
32×
125
36×
88+36×
15-108
五、355+260+140+24598×
125645-180-245
56125×
六、98+265+202273-73-27250×
13×
43200÷
12599×
38+3817×
23-23×
772×
125
七、64×
15-5×
6425×
(12×
40)99×
56+562182-1655-345
3200÷
25298×
99+298(40+8)×
2597×
八、355+260+140+245102×
992×
382×
101-3824×
60×
50×
835×
8+35×
6-4×
35125×
九、25×
46101×
5699×
261022-478-422
987-(287+135)478-256-144672-36+6436+64-36+64
十、487-287-139-61500-257-34-1432000-368-1321814-378-422
89×
99+89155+264+36+4425×
(20+4)88×
225+225×
12
十一、698-291-9568-(68+178)561-19+58382+165+35-82
236+189+64
759-126-259
79×
4
569-256-44
十二、216+89+11
57×
8
1050÷
15÷
7
169×
123—23×
169
37×
99+37
129×
101—129
149×
69—149+149×
32
56×
51+56×
48+56
十三、125×
24×
25125×
48
514+189—214
369—256+156
125
73+26×
24
109+(291—176)
十四、16×
98+32512+(373—212)
228+(72+189)
169+199
586×
99
575—250—27537×
21—21×
12—21125×
三、计算(能简便就简便)
一、85+14×
(14+208÷
26)21+(327-23)÷
19539-513÷
(378÷
14)
34-3094÷
17÷
1319+(253-22)÷
2150+20×
28-42
(23+23)×
24-597(110-10)÷
10-1045-24+14×
14
二、304-275÷
(275÷
25)(70+10)÷
(18-10)120÷
18-54
44+16×
15-32(10-100÷
10)×
11(53-588÷
21)×
36
(60+10)÷
(17-10)17+(233-43)÷
10100÷
10×
10-60
三、424-475÷
19×
1622+(374-10)÷
26(245-11)÷
18-11
22-(10+100÷
10)(252-14)÷
17-1035-13+10×
15
(346-10)÷
16-12215-198÷
(121÷
11)(45-651÷
33
四、19+192÷
12-10572÷
22×
23-15819+56-1224÷
34
(714-12)÷
27-1914+(21-19)×
1418-(13+15)÷
262
736÷
(43-20)×
23(227+11)÷
(31-14)36+19×
14-23
五、828÷
23×
12-4818-15+10×
18(31-154÷
11)×
(1369-37)÷
37-32160÷
(22-12)×
22357÷
21×
13-213
985-728÷
26×
35(438-39)÷
21-12(20+18)×
11-239
六、50+160÷
40(58+370)÷
(64-45)120-144÷
18+35
50-1440÷
12
3856÷
16+85×
16
4000÷
(16+832÷
13)
(326+95×
25)÷
37
(7236÷
18-228)×
28
(4275-24×
75)÷
七、178-145÷
5×
6+42420+580-64×
21÷
28812-700÷
(9+31×
11)
50+160÷
40=54120-144÷
18+35=147(58+37)÷
(64-9×
5)
95÷
(64-45)178-145÷
6+42120-36×
18+35
八、58×
58+58×
423874-(874+1000)136×
101-136
329-38-62347-129-1474600÷
6000÷
825×
32360÷
九、44×
25591+482+11899×
I26
15×
8986+1999473+79-63
80×
501-8076+38+24+162199×
99+199
十、25×
9×
855×
25+25×
32+129+268+71438+126+162+67455×
55+45×
55
6×
58×
135+8×
6556×
37-56×
26-56
十一、45×
12+55×
1242×
9+58×
955×
45+45×
18×
27+18×
2358×
137-58×
3778×
8-28×
8
7×
69+7×
2136×
27+27×
6499×
64+64
十二、250×
3648×
250202×
32199×
50301×
30
201-4549×
49+4925×
(8+40)
十三、8×
1257×
250250×
3×
59+9×
318×
99+99
99×
199+9935×
401-3539×
101-39
十四、25×
12515×
(4+16÷
4)165-35-65
94+38+106+62125×
48989-186-14
十五、4600÷
4136×
101-13632×
37+47×
37+21×
37
77+7799×
878×
37-37×
68
99+125)×
165×
999+5+99×
7+7+3×
9+3+9
十六、355+260+140+245102×
99645-180-245
382×
35