小學(xué)四年級簡便運(yùn)算的練習(xí)題和答案

運(yùn)算定律練習(xí)題

(1)乘法交換律：aXb=bXa乘法結(jié)合律：(aXb)Xc=aX(bXc)

38X25X442X125X825X17X4(25X125)X(8X4)

49X4X538X125X8X3(125X25)X4

5X289X2(125X12)X8125X(12X4)

(2)乘法交換律和結(jié)合律的改變練習(xí)

125X64125X8844X25125X2425X28

(3)加法交換律：a+b=b+a加法結(jié)合律：(a+b)+c=a+(b+c)

357+288+143158+395+105167+289+33129+235+171

+165

378+527+73169+78+2258+39+42+61138+293+62

+107

(4)乘法安排律：(a+b)Xc=aXc+bXc正用練習(xí)

(80+4)X25(20+4)X25(125+17)X825X(40+4)15X

(20+3)

（5）乘法安排律正用的改變練習(xí):

36X325X4139X101125X88

201X24

（6）乘法安排律反用的練習(xí):

34X72+34X2835X37+65X3785X82+85X18

25X97+25X376X25+25X24

（7）乘法安排律反用的改變練習(xí):

38X29+3875X299+7564X199+6435X68+68+68

X64

☆思索題：（8）其他的一些簡便運(yùn)算。

8004-256000?1253600^-8^-5

58X101-5874X99

【思路導(dǎo)航】在除法里，被除數(shù)和除數(shù)同時(shí)乘或除以一個(gè)相同的數(shù)，商不變。

325?25

=(325X4)+(25X4)

=13004-100

=13

【練一練1](1)4504-25(2)5254-25

(3)35004-125

(4)100004-625(5)

495004-900(6)90004-225

【經(jīng)典例題二】計(jì)算25X125X4X8

【思路導(dǎo)航】假如先把25與4相乘，可以得到100,同時(shí)把125與8相乘，可以得到

1000；再把100和1000相乘就可以了。運(yùn)用了乘法交換律和結(jié)合律。

25X125X4X8

=(25X4)X(125X8)

=100X1000

=100000

【練一練2](1)125X15X8X4(2)

25X24(3)125X16

(4)75X16(5)

125X25X32(6)25X5X64X125

【經(jīng)典例題三】計(jì)算：(1)125X34+125X66(2)

43X11+43X36+43X52+43

【思路導(dǎo)航】利用乘法安排律來計(jì)算這兩題

(1)125X34+125X66(2)43X11+43X36+43X52+43

=125X(34+66)=43X

(11+36+52+1)

=125X100

=43X100

【練一練3］計(jì)算下面各題：=12500

<4B00125X64+125X36(2)64X45+64X71-64X16

(3)21X73+26X21+21

【經(jīng)典例題四】計(jì)算(1)(360+108)+36(2)14-2+34-2+54-2+74-2

【思路導(dǎo)航】兩個(gè)數(shù)的和、差除以一個(gè)數(shù)，可以用這個(gè)數(shù)分別去除這兩個(gè)數(shù)，再求出

兩個(gè)商的和(差)。利用這一性質(zhì)，可以使計(jì)算簡便。

(1)(360+108)+36(2)14-2+34-2+54-2+74-2

=3604-36+1084-36=(1+3+5+7)4-2

=10+3=164-2

=13=8

【練一練4](1)(720+96)+24(2)(4500-90)4-45

63424-21

(4)88114-89(5)73+36+105+36+146+36(6)

(10000-1000-100-10)4-10

【經(jīng)典例題五】158X61+79X3

【思路導(dǎo)航】在乘除混合運(yùn)算中，假如算式中沒有括號，計(jì)算式可以依據(jù)運(yùn)算定律和

性質(zhì)調(diào)換乘數(shù)或者除數(shù)的位置，只要計(jì)算：數(shù)字跟著前面的符號一起移動(dòng)。

158X614-79X3

=1584-79X61X3

=2X61X3

=366

【練一練5】計(jì)算下面各題：

(1)238X364-119X5(2)

138X27+69X50

(3)624X48+312+8(4)

406X3124-1044-203

【經(jīng)典例題六】計(jì)算下面各題：

(1)103X964-16(2)2004-

(25+4)

【思路導(dǎo)航】這兩道題都是乘除法混合運(yùn)算，我們可以依據(jù)這兩道題的特點(diǎn)，采納加

括號和去括號的方法，使計(jì)算簡便。可以概括為：括號前是乘號，力口、去括號不改號,

括號前是除號，田、去括號要改號。

(1)103X964-16(2)2004-(25+4)

=103X

(96-rl6)=2004-25X4

=103X6

=8X4

=618

=32

【練一練6】計(jì)算下面各題：

(1)612X3664-183(2)10004-

(1254-4)

(3)(13X8X5X6)+(4X5X6)(4)241X345-r678-r345X

(678+241)

【經(jīng)典例題七】計(jì)算：(1)68X62(2)85X85

【思路導(dǎo)航】這兩題的形式叫做“頭同尾合十”它們的計(jì)算方法是：先用兩個(gè)因數(shù)的

個(gè)位數(shù)相乘，并把積干脆寫在末尾，假如積不滿10,十位上要補(bǔ)寫0,然后再將兩個(gè)

因數(shù)的十位數(shù)乘它本身加1的和，積寫在兩個(gè)個(gè)位數(shù)積的前面。

(1)68X62

第一步8X2=16,其次步6X(6+1)=42,合起來是4216

(2)85X85

第一步5X5=25,其次步是8X(8+1)=72,合起來是7225

【練一練7】(1)23X27(2)46X44(3)

55X55(4)91X99

【經(jīng)典例題八】計(jì)算：26X11

【思路導(dǎo)航】一個(gè)兩位數(shù)乘11的方法是：用兩位數(shù)的頭作積的頭，用兩位數(shù)的尾作

積的尾，用這個(gè)兩位數(shù)的兩個(gè)數(shù)字之和作積的中間數(shù)(假如相加滿十，則把和的十位

數(shù)“1”加到頭上。

26X11

第一步2作積的頭，其次步6作積的尾，第三步2+6=8作

中間，合起來是286。

【練一練8】計(jì)算(D53XH(2)39X11(3)

65X11(4)98X11

【經(jīng)典例題九】計(jì)算：358X11

【思路導(dǎo)航】三位數(shù)乘11,用三位數(shù)的頭作積的頭，用三位數(shù)的尾作積的尾，用三位

數(shù)前兩位數(shù)字組成的數(shù)加厚兩位數(shù)字組成的數(shù)的和作積的中間數(shù)。

358X11,第一步用3作積的頭，其次步用8作積的尾,在用35+58=93,合起來是3938。

【練一練9】計(jì)算(1)353X11(2)

654X11(3)896X11

【練一練1】(1)4504-25(2)

5254-25(3)35004-125

(4)100004-625(5)

495004-900(6)9000+225

【練一練2】(1)125X15X8X4(2)

25X24(3)125X16

(4)75X16(5)

125X25X32(6)25X5X64X125

【練一練3】計(jì)算下面各題：

(1)125X64+125X36(2)64X45+64X71-64X16

(3)21X73+26X21+21

【練一練4】(1)(720+96)4-24(2)(4500-90)+45(3)

6342+21

(4)88114-89(5)73+36+105+36+146+36(6)

(10000-1000-100-10)4-10

【練一練5】計(jì)算下面各題：

(1)238X364-119X5(2)138X27+69X50

(3)624X48+312+8(4)406X3124-1044-203

【練一練6】計(jì)算下面各題:

(1)612X3664-183(2)

10004-(1254-4)

(3X13X8X5X6)4-(4X5X6)⑷241X345+678+345X

(678+241)

【練一練7](1)23X27(2)46X44(3)

55X55(4)91X99

【練一練8]計(jì)算(1)53X11(2)39X11(3)

65X11(4)98X11

【練一練9】計(jì)算（1）353X11(2)

654X11(3)896X11

簡便計(jì)算專題訓(xùn)練

158+262+138375+219+381+2255001-247—1021-232

(181+2564)+2719378+44+114+242+222276+228+353+219

(375+1034)+(966+125)(2130+783+270)+101799+999+9999+99999

7755-(2187+755)2214+638+2863065-738-1065

899+3442357-183-317-3572365-1086-214

497-2992370+19953999+498

1883-39812X2575X24

138X25X4(13X125)X(3X8)(12+24+80)X50

簡便計(jì)算練習(xí)題2

704X2525X32X12532X(25+125)

88X125102X7658X98

178X101-17884X36+64X8475X99+2X75

83X102-83X298X199123X18-123X3+85X123

50X(34X4)X325X(24+16)178X99+178

79X42+79+79X577300+25+481004-44-75

168004-120301004-2100320004-400215004-125

497004-70012484-2431504-1548004-25

簡便計(jì)算練習(xí)題3

2356-(1356-721)1235—(1780-1665)75X27+19X25

31X870+13X3104X(25X65+25X28)

(300+6)x1225x(4+8)125x(35+8)

(13+24)x8

84x101504x2578x10225x204

99x6499x16638x99999x99

99X13+1325+199X2532X16+14X3278X4+78X3+78X3

125X32X825X32X12588X12572X125

簡便計(jì)算練習(xí)題4

3600+25+48100+4+7530004-1254-8

1250+25+5

1200-624-762100-728-772273-73-27847-527-273

278+463+22+37732+580+2681034+780320+102425+14+186

214-(86+14)787-(87-29)365-(65+118)455-(155+230)

576-285+85825-657+57690-177+77755-287+87

871-299157-99363-199968-599

178X101-17883X102-83X217X23-23X735X127-35X16-11X35

簡便計(jì)算練習(xí)題5

簡單出錯(cuò)類型（共五種類型）

600-604-1520X44-20X4

736-35X2025X4+25X4

98-18X5+2556X8+56X8280-804-

412X64-12X6

175-75+2525X84-25X8

80-20X2+6036X9+36X9

36-364-6-625X84-(25X8)

100+45-100+4515X97+3

100+1-100+148X99+1

1000+8-1000+85+95X28

102+1-102+165+35X13

25+75-25+7540+3604-20-10

13+24X8672-36+64324-68+32100-36+64

簡便計(jì)算練習(xí)題6

26X39+61X26356X9-56X999X55+55

78X101-7852X76+47X76+76134X56-134+45X134

48X52X2-4X4825X23X(40+4)999X999+1999

184+98695+202864-199738-301

380+476+120(569+468)+(432+131)704X25

256-147-53373-129+29189-(89+74)

28X4X25125X32X259X72X125

簡便計(jì)算練習(xí)題7

720+16+56304-42456-(256-36)

102X3598X42158+262+138375+219+381+225

5001-247-1021-232(181+2564)+2719378+44+114+242+222

276+228+353+219(375+1034)+(966+125)(2130+783+270)+1017

99+999+9999+999997755-(2187+755)2214+638+286

3065-738-1065899+3442357-183-317-357

2365-1086-214497-2992370+1995

簡便計(jì)算練習(xí)題8

3999+4981883-39812X2575X24

138X25X4(13X125)X(3X8)(12+24+80)X50

25X32X12532X(25+125)88X125102X76

178X101-17884X36+64X8475X99+2X75

98X199123X18-123X3+85X12350X(34X4)X3

25X(24+16)178X99+17879X42+79+79X57

7300+25+481004-44-75158+262+138

簡便計(jì)算練習(xí)題9

12484-2431504-1548004-25215004-125

375+219+381+2255001-247-1021-232(181+2564)+2719

378+44+114+242+222276+228+353+219(375+1034)+(966+125)

(2130+783+270)+101799+999+9999+999997755—(2187+755)

2214+638+2863065-738-1065899+344

2357-183-317-3572365-1086-214497-299

2370+19953999+4981883-398

簡便計(jì)算練習(xí)題10

12X2575X24138X25X4(13X125)X(3X8)

(12+24+80)X50704X2525X32X12532X(25+125)

88X125102X7658X98178X101-178

84X36+64X8475X99+2X7583X102-83X298X199

123X18-123X3+85X12350X(34X4)X325X(24+16)

178X99+17879X42+79+79X57215004-125

7300+25+481004-44-75168004-120

簡便計(jì)算練習(xí)題11

(a+b)+c=a+(b+c)

2.73+0.89+1.274.37+0.28+1.63+5.72

a-b-c=a—(b+c)

10-0.432-2.5689.3—5.26—2.74

14.9-(5.2+4.9)18.32-5.47-4.32

(aXb)Xc=aX(bXc)

25X6.8X0.040.25X32X0.1256.4X1.25X12.5

cX(a+b)=cXa+cXb

0.45X2010.58X10.150.2X994.7X9.9

簡便計(jì)算練習(xí)題12

3.28X5.7+6.72X5.72.1X99+2.1

23X0.1+2.3X9.90.18+4.26-0.18+4.26

0.58XI.3+0.58XI.37.34-4+2.7X0.25

3.75X0.5—2.75+25.26X0.125+2.744-8

a+b+c=a+(bXc)

6.34-1.89.54-(1.9X8)12.8+(0.4X1.6)

9304-0.64-563.4+2.5-r0.4(7.7+1.54)4-0.7

簡便計(jì)算練習(xí)題13

6.9+4.8+3.115.89+(6.75-5.89)7.85+2.34-0.85+4.66

35.6-1.8-15.6-7.213.75-⑶75+6.48)47.8-7.45+2.55

66.86-8.66-1.340.25X16.2X40.25X32X0.125

2.5X(4+0.4)(1.25-0.125)X84.8X100.1

4.2X9956.5X9.9+56.57.09X10.8-0.8X7.09

3.83X4.56+3.83X5.443.65X4.7-36.5X0.375.4X11-5.4

13.7X0.25-3.74-410.7X16.1-1.1X10.7+10.7X5

簡便計(jì)算專題訓(xùn)練

158+262+138375+219+381+2255001-247-1021-232

(181+2564)+2719378+44+114+242+222276+228+353+219

(375+1034)+(966+125)(2130+783+270)+101799+999+9999+99999

7755-(2187+755)2214+638+2863065-738-1065

899+3442357-183-317-3572365-1086-214

497-2992370+19953999+498

1883-39812X2575X24

138X25X4(13X125)X(3X8)(12+24+80)X50

簡便計(jì)算練習(xí)題2

704X2525X32X12532X(25+125)

88X125102X7658X98

178X101-17884X36+64X8475X99+2X75

83X102-83X298X199123X18-123X3+85X123

50X(34X4)X325X(24+16)178X99+178

79X42+79+79X577300+25+481004-44-75

168004-120301004-2100320004-400215004-125

497004-70012484-243150+1548004-25

簡便計(jì)算練習(xí)題3

2356-(1356-721)1235-(1780-1665)75X27+19X25

31X870+13X3104X(25X65+25X28)

(300+6)x1225x(4+8)125x(35+8)

(13+24)x8

84x101504x2578x10225x204

99x6499x16638x99999x99

99X13+1325+199X2532X16+14X3278X4+78X3+78X3

125X32X825X32X12588X12572X125

簡便計(jì)算練習(xí)題4

3600+25+48100+4+753000+125+8

1250+25+5

1200-624-762100-728-772273-73-27847-527-273

278+463+22+37732+580+2681034+780320+102425+14+186

214-(86+14)787-(87-29)365-(65+118)455-(155+230)

576-285+85825-657+57690-177+77755-287+87

871-299157-99363-199968-599

178X101-17883X102-83X217X23-23X735X127-35X16-11X35

簡便計(jì)算練習(xí)題5

簡單出錯(cuò)類型（共五種類型）

600-604-1520X4+20X4

736-35X2025X4+25X4

98-18X5+2556X84-56X8

280-804-412X64-12X6

175-754-2525X8+25X8

80-20X2+6036X9+36X9

36-364-6-625X8-r(25X8)

100+45-100+4515X97+3

100+1-100+148X99+1

1000+8-1000+85+95X28

102+1-102+165+35X13

25+75-25+7540+3604-20-10

13+24X8672-36+64324-68+32100-36+64

簡便計(jì)算練習(xí)題6

26X39+61X26356X9-56X999X55+55

78X101-7852X76+47X76+76134X56-134+45X134

48X52X2-4X4825X23X(40+4)999X999+1999

184+98695+202864-199738-301

380+476+120(569+468)+(432+131)704X25

256-147-53373-129+29189-(89+74)

28X4X25125X32X259X72X125

簡便計(jì)算練習(xí)題7

720+16+5630+42456—(256—36)

102X3598X42158+262+138375+219+381+225

5001-247-1021-232(181+2564)+2719378+44+114+242+222

276+228+353+219(375+1034)+(966+125)

(2130+783+270)+1017

99+999+9999+999997755—(2187+755)2214+638+286

3065-738-1065899+3442357-183-317-357

2365-1086-214497-2992370+1995

簡便計(jì)算練習(xí)題8

3999+4981883-39812X2575X24

138X25X4(13X125)X(3X8)(12+24+80)X50

25X32X12532X(25+125)88X125102X76

178X101-17884X36+64X8475X99+2X75

98X199123X18-123X3+85X12350X(34X4)X3

25X(24+16)178X99+17879X42+79+79X57

7300+25+481004-44-75158+262+138

簡便計(jì)算練習(xí)題9

12484-2431504-1548004-25215004-125

375+219+381+2255001—247—1021—232(181+2564)+2719

378+44+114+242+222276+228+353+219(375+1034)+(966+125)

(2130+783+270)+101799+999+9999+999997755-(2187+755)

2214+638+2863065-738-1065899+344

2357-183-317-3572365-1086-214497-299

2370+19953999+4981883-398

簡便計(jì)算練習(xí)題10

12X2575X24138X25X4(13X125)X(3X8)

(12+24+80)X50704X2525X32X12532X(25+125)

88X125102X7658X98178X101-178

84X36+64X8475X99+2X7583X102-83X298X199

123X18-123X3+85X12350X(34X4)X325X(24+16)

178X99+17879X42+79+79X57215004-125

73004-254-481004-44-75168004-120

簡便計(jì)算練習(xí)題11

(a+b)+c=a+(b+c)

2.73+0.89+1.274.37+0.28+1.63+5.72

a-b—c=a-(b+c)

10-0.432-2.5689.3-5.26-2.74

14.9-(5.2+4.9)18.32-5.47-4.32

(aXb)Xc=aX(bXc)

25X6.8X0.040.25X32X0.1256.4X1.25X12.5

cX(a+b)=cXa+cXb

0.45X2010.58X10.150.2X994.7X9,9

簡便計(jì)算練習(xí)題12

3.28X5.7+6.72X5.72.1X99+2.1

23X0.1+2.3X9.90.18+4.26-0.18+4.26

0.58XI.3+0.58XI.37.34-4+2.7X0.25

3.75X0.5-2.754-25.26X0.125+2.744-8

a-rb-rc=a-r(bXc)

6.34-1.89.54-(1.9X8)12.8+(0.4X1.6)

930+0.6+563.4+2.5+0.4(7.7+1.54)4-0.7

簡便計(jì)算練習(xí)題13

6.9+4.8+3.115.89+(6.75-5.89)7.85+2.34-0.85+4.66

35.6-1.8-15.6-7.213.75-(3.75+6.48)47.8-7.45+2.55

66.86-8.66-1.340.25X16.2X40.25X32X0.125

2.5X(4+0.4)(1.25-0.125)X84.8X100.1

4.2X9956.5X9.9+56.57.09X10.8-0.8X7.09

3.83X4.56+3.83X5.443.65X4.7-36.5X0,375.4X11-5.4

13.7X0.25-3.74-410.7X16.1-1.1X10.7+10.7X5

第一類：加

65+73+135357+288+143

272+68+28

129+235+171+16517+145+23+35999+9

9+9+3

6+7+8+102+103+1049998+3+99+998+3+9

其次類：減

400-256-44517-53-47

284-159-41

258-42-16545-167-145

478-47-178

344-(144+37)236-(177+36)

第三類：乘

45X4X523

X5X225X9X4

8X(125X13)(250X125)X(4X8)

88X12572X125

125X64X25

42X125X8X525X4X88X125

第四類：乘

(12+50)X40125X(40-4)76X103

18X125

25X4442X25

99X999X78

第五類：乘

45X37+37X5528X21+28X7917X23-23X

7

38X46+64X3899X32+3246+

46X59

167X2+167X3+167X539X8+6X39-39X4

28X225-2X225-6X225(42+25)X125+(18+15)X125

23X2X4+25X4X2+27X1X8+25X8X199X22+33X34

第六類：除

360+4+9250+5+26004-1

2+58004-54-8

480+5+48240+5+12

4204-3524004-257800

4-125

第七類：加減

92+99197+102354-108

127-98

323+189-123248-86+48672-36

+64

(6467-832)+(1832-1467)1530+(592-530)-192

(2+4+6+.......+98+100)-(1+3+5+.......+97+99)

第八類：乘除

960X46+48990004-121X113702X384-12

34

6404-(164-4)10004-(1254-4)

第九類：加減乘除

(98+147)4-49(230-23)C23(250-25)4-25

1736+28+1064+28125X(860+240^-12)

700+6124-12X4(37+15)X85+1360

2005X20062006-2006X20052005

158+262+138375+219+381+2255001-247-1021-232

(181+2564)+2719378+44+114+242+222276+228+353+219

(375+1034)+(966+125)(2130+783+270)+101799+999-9999+999

99

7755

(2187+755)2214+638+28630

65-738-1065

899+3442357183一317一

3572365—1086—214

497

2992370+1995

3999+498

1883

39812X25

75X24

138X25X4(13X125)X(3X8)

(12+24+80)X50

簡便計(jì)算練習(xí)題2

704X2525X32X125

32X(25+125)88X125

102X7658X98178X101一

17884X36+64X84

75X99+2X7583X102-

83X298X199123X18一

123X3+85X123

50X(34X4)X325X

(24+16)178X99+178

79X42+79+79X57

73004-254-481004-44-75

168004-120301004-2100

320004-400215004-125

497004-70012484-2431504-15

48004-25

簡便計(jì)算練習(xí)題3

2356一(1356—721)1235一(1780一

1665)75X27+19X25

31X870+13X3104X(25X65+25X28)

(300+6)x1225x(4+8)

125x(35+8)(13+24)x884x101

504x25

78x10225x20499x64

99x16638x99

999x9999X13+1325+199X25

32X16+14X32

78X4+78X3+78X3125X32X825X32X1258

8X12572X125

簡便計(jì)算練習(xí)題4

3600+25+48100+4+753000+125+8

12504-254-5

1200-624-762100-728-772273-73-27

847-527-273

278+463+22+37732+580+2681034+780320+1024

25+14+186

214-(86+14)787-(87-29)365-

(65+118)455-(155+230)

576-285+85825-657+57690-177+77

755-287+87

871-299157-99363-199

968-599

簡便計(jì)算練習(xí)題5

600-604-1520X44-20X4

736-35X2025X4+25X4

98-18X5+2556X84-56X828

0-804-412X64-12X6

175-754-2525X8+25X880-2

0X2+6036X9+36X9

36-364-6-625X8+

(25X8)100+45-100+4515X97+3

100+1-100+148X99+11

000+8-1000+85+95X28

102+1-102+165+35X1325+75-25+

7540+360-=-20-10

13+24X8672-36+64324-68+

32100-36+64

簡便計(jì)算練習(xí)題6

26X39+61X26356X9-56X999X55

+5578X101-78

52X76+47X76+76134X56134+45X134

48X52X2-4X48

25X23X(40+4)999X999+1999184+

98695+202

864-199738-301380+476+120(569+468)

+(432+131)

704X2525614753373129+

29189-(89+74)

28X4X25125X32X25

9X72X125

簡便計(jì)算練習(xí)題7

7204-164-5630?42456-(256-

36)102X3598X42

158+262+138375+219+381+2255001-247—1021一

232(181+2564)+2719

378+44+114+242+222276+228+353+219

(375+1034)+(966+125)

(2130+783+270)+101799+999+9999+999997755一

(2187+755)2214+638+286

3065-738-1065899+3442357-183-

317-357

23651086214497

2992370+1995

簡便計(jì)算練習(xí)題8

3999+4981883

39812X2575X24

138X25X4(13X125)X(3X8)(12+24+80)X50

25X32X125

32X(25+125)88X125102X76

178X101-178

84X36+64X8475X99+2X7598X1