四年級（下）數學 七大類型簡便計算題（解析版）

四年級下冊數學。七大類簡便計算狂刷題。

一、必背知識點：運算定律及性質

1、加法交換律a+b=b+a

2、加法結合律(a+b)+c=a+(b+c)

、乘法交換律

3axb=bxa

4、乘法結合律(axb)xc=ax(bxc)

5、乘法分配律(d+b)xc=”c+bxcdx(b+c)=dxb十

6、減法的性質(兩種變形)：a-b-c=a-(b+c)a-(b+c)=a-b-c

7、除法的性質(兩種變形)：a+b+c=a:(bxc)a+(bxc)=a：b：c

二、四年級下冊數學簡便運算專項訓練

1.用你喜歡的方法計算,要寫出計算過程。

①607x(57-23)②(123+213戶21③918:[9><(57-54)]

=607x34=336-21=918-[9x3]

=20638=16=918-27

=34

④25x(79x4)⑤800?25⑥36x78+36x22

=25x4x79二(800x4戶(25x4)二36x(78+22)

=100x79=3200-100=36x100

=7900=32=3600

2.脫式計算(能簡算的要簡算)

①167+289+33+11②(36x54-984戶24

二(167+33)+(289+11)=(1944-984)-24

=200+300=960-24

=500=40

③49x25+25x51④15cH90：(67-52)]

=25x(49+51)=150-(90-15)

=25x100=150-6

=2500二25

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四年級下冊數學。七大類簡便計算狂刷題?

3,用你喜歡的方法計算。

①125x32x25②72x99+72

=125x(8x4)x25=72x(99+1)

=(125x8)x(4x25)=72x100

=1000x100=7200

二100000

③735-35-65④145x(100-1)

=735-(35+65)=145x100-145x1

=735-100=14355

=635

4,用簡便方法計算。

①125x45x8②33x71+33x29

=125x8x45二33x(71+29)

=1000x45=33x100

=45000=3300

5脫式計算。

①25x125x8x4②729+269-169+271③165-[3*(57-52)]

=(25x4)x(125x8)=(729+271)+(269-169)=165-(3x5)

=100x1000=1000+100=165-15

=100000=1100=11

④72-2x8⑤135x99+135⑥75+3x5

=72-16=135x99+135x1=25x5

=56=135x(99+1)=125

=135x100

=13500

6.計算。

①94x2x5②903-176x5

=94X(2X5)=903-880

=94x10二23

=940

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四年級下冊數學。七大類簡便計算狂刷題。

③7x(162+354)(4)521+78-293

=7x516=599-293

=3612=306

7,用你喜歡的方法計算。

①25x78x4②25x(40+4)③6x72+28x6

=25x4x78=25x40+25x4二6x(72+28)

=100x78=1000+100=6x100

=7800=1100=600

④6404(96-80)x4]⑤158+286+42+114⑥105x12-635尸25

=640-[16x4]二(158+42)+(286+114)=(1260-635)-25

=640-64=200+400=625-25

=10=600=25

8.運用乘法的運算律大顯身手吧,可以記錄自己速算的時間啊。

①17x4x25②125x19x8

=17x(4x25)=(125x8)x19

=17x100=1000x19

=1700=19000

③125x72④25x125x16

=125x8x9=25x125x2x8

=1000x9(25x2)x(125x8

=9000=50x1000

=50000

9.用簡便方法計算下面各題.

①125x(80+4)(2)(100-8)x25

=125x80+125x4=100x25-8x25

=10000+500=2500-200

=10500=2300

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四年級下冊數學。七大類簡便計算狂刷題*

10.計算:

①54+99x99+45②999x222+333x334③1999+999x999

=(54+45)+99x99=333x3x222+333x334=1000+999+999x999

=99+99x99二333x666+333x334=1000+999x1000

=99x(1+99)=333x(666+334)=1000x(999+1)

二9900二333000二1000000

11.怎樣才能算得又對又快y

①68x101②74x201

=68x100+68=74x200+74

=6800+68=14800+74

=6868=14874

③256x1002(4)154x601

=256x1000+256x2=154x600+154

=256000+512=92400+154

=256512=92554

12.計算的方法很重要,我們要仔細聽啦。

①(130+65)+13(2)(2046-1059-735)-3

=130-13+65-13=2046-3-1059-3-735-3

=10+5=682-353-245

=15=84

③981:50+19：50④2275?13+5

=(981+19)-50=2275-5-13

=1000-50=455-13

=20=35

13,巧算下列各題：

①220x35:7②720x12:9

=220x(35-7)=720-9x12

=220x5=80x12

=1100=960

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四年級下冊數學。七大類簡便計算狂刷題。

③2250:15:15@120-(10-8)

=2250:(15x15)=120-10x8

=2250-225=12x8

=10=96

14.用簡便方法計算。

①25x99x4②125x76x8④79x44+79x56

=25x99x4=125x8x76=79x(44+56)

二25x4x99=1000x76=79x100

=100x99=76000=7900

=9900

③354+218+82⑤76+158+124+142⑥879-432-68

=354+(218+82)二(276+124)+(158+142)=879-(432+68)

=354+300=400+300=879-500

=654=700=379

15.脫式計算。

①2x785x5②312x24+256③13x99+13

=2x5x785=7488+256=13x99+13x1

=10x785=7744=13x(99+1)

=7850=13x100

=1300

16.照樣子，做巧算。

37+5+45-"①65+24+6②78+16+4③38+46+2

=37+(5+45)=65+(24+6)=78+(16+4)=38+2+46

=37+50=65+30二78+20=40+46

=87=95=98=86

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四年級下冊數學。七大類簡便計算狂刷題*

17.照樣子,做簡便計算。

39+27①49+48②37+46③59+37

=39+1+26=49+14-47=37+3+43=59+1+36

=40+26=50+47=40+43=60+36

=66=97=83=96

您照樣子廠管簡便過程。

25+18-15①21-25+29②36+25-16③32-28+38

=25-15+18=21+29-25=36-16+25=32+38-28

=10+18=50-25=20+25=70-28

=28=25=45=42

「叵訐算下面各題,怎樣簡便就怎樣計算。

①158+262+142+138②25x32x125

二(158+142)+(262+138)=25x4x8x125

=300+400=(25x4)x(8x125)

=700=100x1000

=100000

③178x101-178④7300:25:4

=178x(101-1)=7300-(25x4)

=178x100=7300-100

=17800=73

20.計算,能簡算的要簡算.

①178x101-178②9.27-1.43-4.57③351x[(470-254):27]

=178x(101-1)=9.27-(1.43+4.57)=351x[216-27]

=178x100=9.27-6=351x8

=17800=3.27=2808

21.用簡便方法計算下面各題。

①128x34-28x34②68x99③7000+8:125

=(128-28)x34=68x(100-1)=7000-(8x125)

=100x30=68x100-1x68=7000-1000

=3400=6800-68=7

=6732

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四年級下冊數學。七大類簡便計算狂刷題

④13.7+0.98+0.02+4.3⑤88x125

=(13.7+4,3)+(0.98+0.02)=11x8x125

=18+1=11x(8x125)

=9=11X1000

=11000

22.用遞等式計算。

(1)7.83+13.91+6.09+21.17②910+[126-(96+17)]

7.83+13.91+6.09+21.17=910引126-113]

二(7.83+21.17)+(13.91+6.09)=910-13

=29+20=70

=49

③45x125-125x5④(29+38)x(100-53)

=125x(45-5)=67x47

=125x40=3149

=5000

23.直接寫出計算結果

0.12+3.4=3.523.4-0.15=3.250.6x1000=600

4.23-0.17-0.83=3.236-100=0.0615-15-3=10

5800-25-4=582x125x4=1000

24.用遞等式計算下面各題,怎樣簡便就怎樣算。

①400-1300+65+25②102x45

=400-20+25=(100+2)x45

=405=100x45+2x45

=4500+90

=4590

③20x[(230-165尸25]④73.9+1.33+0.67+0.13

=20x[65-25]=(73.9+0,13)+(1.33+0.67)

=20x2,6=74.09+2

二52=76.09

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四年級下冊數學。七大類簡便計算狂刷題*

25.用簡便方法計算下面各題o

①28.5+7.06+12.94②63x37+63x63③25x125x32

=28.5+(7.06+12.94)=63x(37+63)=25x4x8x125

=28.5+20=63x100=100x1000

=48.5=6300=100000

④55-12.72-2.28(5)14.5-(4.5+2.8)⑥101x27

=55-(12.72+2.28)=14.5-4.5-2.8二(100+1)x27

=55-15=10-2.8=100x27+1x27

=40=7.2=2700+27

=2727

26.計算下面各題,能簡算的要簡算。

①125x88②32x99+32③96:12+49x8

=125x(80+8)=32x99+32x1=8+392

=125x80+125x8=32x(99+1)=400

=10000+1000=32x100

=11000=3200

④125x32x25⑤4.4+3.8+15.6⑥5.62-7.9+2.38-2.1

=(125x8)x(4x25)=4.4+15.6+3.8=(15.62+2.38)-(7.9+2.1)

=1000x100=20+3,8=18-10

=100000=23.8=8

⑦150CT25-4⑧5.36+(83.4-15.07)⑨540;[(41-36)xl8]

=1500-(25x4)=45.36+68.33=540-[5xl8]

=1500-100=113.69=540-90

=15=6

27.計算下面各題，能簡算的要簡算。

(1)3.27+6.4+2.734-4.6②96x45-34x96-96

=(3.27+2.73)4-(6.4+4.6)=96x45-34x96-96x1

=6+11=96x(45-34-1)

=17=96x10

=960

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四年級下冊數學。七大類簡便計算狂刷題?

③32x125x25(4)289-(89+1080-36)

=4x8x125x25=289-(89+30)

=(4x25)x(8x125)=289-89-30

=100x1000=200-30

=100000=170

28,算下面各題,能簡算的要簡算

①25x32x125②488+137+263+22③346-132-68

=25x4x8x125二(488+22)+(137+263)=346-(132+68)

=(25x4)x(8x125)=510+400=346-200

=100x1000=910=146

=100000

④25乂44⑤88x56+44X88⑥540:45

=25x4x11=(56+44)x88=540-(9x5)

=100x11=100x88=540-9-5

=1100=8800=60-5

=12

29.計算下而各題能簡算的要簡算。

①721+16+184②18x125x8

=721+(16+184)=18x(125x8)

=721+200=18x1000

=921=18000

③60-(2.74+8.17)④Q87-87)xl5：3

=60-10.91=100x15-3

工49.09-1500-3

=500

30.怎樣簡便就怎樣計算。

①32x25(2)18.68+(9.14-8.68)③125x9-125

=(4x8)x25=18.68+9.14-8.68=125x9-125x1

=8x(4x25)二18.68-8.68+9.14=125x(9-1)

=8x100=10+9.14=125x8

=800=19.14=1000

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四年級下冊數學。七大類簡便計算狂刷題。

④225-600:8-25⑤75+25x9(6)150X[(153-32)-11]

=225-75-25二75+225=150x[121-ll]

=225-(75+25)=300=150x11

=225-100

=1650

=125

31.用簡便方法計算

①125x72②101x3

=125x(8x9)=(100+1)x3

=125x8x9=100x3+1x3

=1000x9=300+3

=9000=303

③99乂38+38④32004-25

=(99+1)x38=3200-(4x25)

=100x38=3200-100

=3800=32

32.用你喜歡的方法計算。

①24.75-4.96-6.75②[180+19x(106+74)]：60

=24.75-6.75-4.96二[180+19x180戶60

=18-4.96=[(l+19)xl80]-60

=13.04=20x180-60

=3600-60

=60

③87*47+53x87④32x25⑤12.64-(2.75+7.64)

=87x(47+53)=8x4x25=12.64-2.75-7.64

=87x100=8x(4x25)=12.64-7.64-2.75

=8700=8x100=5-2.75

=800=2.25

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四年級下冊數學。七大類簡便計算狂刷題?

33.用簡便方法計算。

①6.3+6.44+2.7+3.56②8x26x125

=(6.3+27)+(6.44+3.56)=8x125x26

=9+10=1000x26

=19=26000

③45x63+55x63④136-32-68

=(45+55)x63=136-(32+68)

=100x63=136-100

=6300=36

34直接寫出得數。

12x300=3600200x34=680050x110=5500

25x18x4=1800600x50=30000400?50=8

26x30=780147+256+353=756

35用簡便方法計算。

①365+299②25x(19x8)③63x73-63x63

二365+300-1=25x8x19=63x(73-63)

=765-1=200x19=63x10

二764=3800二630

④47x9+47⑤36x102⑥421-175-25

=47x(9+1)=36x(100+2)=421-(175+25)

=47x10=36x100+36x2=421-200

二470=3600+72二221

二3672

36.計算下面各題,能簡算的要簡算。

①125x108②87x8-8x12+25x8③50x[420:(76-16)]

=125x(100+8)=8x(87-12+25)=350x[420-60]

=12500+1000=8x100=350x7

=13500=800=2450

④37x99+37⑤14.68+7.5-11.95⑥32.5-0.46-4.54

=37x(1+99)=22.18-11.95=32.5-(0.46+4.54)

=37x100=10.23=32.5-5

=3700=27.5

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四年級下冊數學。七大類簡便計算狂刷題。

37.用簡便方法計算：

①1.29+3.7+0.71+6.3②125x89x8

=(1.29+0.71)+(3.7+6.3)=125x8x89

=2+10=1000x89

=12=89000

③528x78十472x78④57x101-57

二(528+472)x78=57x(101-1)

=1000x78=57x100

=78000=5700

38.計算下面各題,怎樣簡便就怎樣計算.

①66x103-66x3②125x88(3)1900-25-4

=66x(103-3)=125x(8x11)=1900-(25x4)

=66x100=(125x8)x11=1900-100

=6600=1000x11=19

=11000

@2700-425-175⑤41+127+59+173⑥56x99+56

=2700-(425+175)=(41+59)+(127+173)=56x(99+1)

=2700-600=100+300=56x100

=2100=400=5600

39.用簡便方法計算下面各題

①3600：4：25②67+263+33

=3600-(4x25)=67+33+263

=3600-100=100+263

=36=363

③88x125④163x59-59x63

=11x8x125=59x(163-63)

=11x(8x125)=59x100

=11x1000=5900

=11000

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四年級下冊數學。七大類簡便計算狂刷題

40.脫式計算.

①23x99+23②16x(300-120)③200+8x40

=23x(99+1)=16x180=25x40

=23x100=2880=1000

=2300

41.怎樣簡便就怎樣算。

①74+157+126+243②836-269-131③89x101

=(74+126)+(157+243)=836-(269+131)=89x(100+1)

=200+400=836-400=89x100+89

=600=436=8989

④77x99+77⑤4800-5:20⑥125x32x25

=77x(99+1)=4800-(5x20)=(125x8)x(4x25)

=77x100=4800-100=1000x100

=7700=48=100000

42.簡便計算.

①102x45②73x99+73

=(100+2)x45=73x(99+1)

=100x45+2x45=73x100

=4500+90二7300

=4590

③143+816+57+84④6500+25+4

二(143+57)+(816+84)=6500-(25x4)

=200+900=6500-100

二1100二65

43直接寫得數。

2.8-10=0.285x6-10=312x3-12x3=9

37+63-9=4489-23-17=49120-4x3=90

56+(4X2)=7125x37x8=370002.01x10=20.1

42-100=0.420x(25+15)=066+5x0=66

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四年級下冊數學。七大類簡便計算狂刷題?

44.能簡算的要簡算

①[480+(20-4)x80②5600+4:25③567-186-14

=[480-16]x80=5600-(4x25)=567-(186+14)

=30x80=5600-100=567-200

=2400=5600=367

④32x125x25⑤12.6X101-12.6⑥158-[(27+54)+9]

=(125x8)x(25x4)=12.6x(101-1)=158-[81+9]

=1000x100=12.6x100=158-9

=100000=1260=149

45用簡便方法計算。

①355+260+140+245②37x56+63x56

二(355+245)+(260+140)=(37+63)x56

=600+400=100x56

=1000=5600

③968-52-48④48x125

二986-(52+48)二(40+8)x125

=986-100=40x125+8x125

=886=500+1000

=1500

46簡.便計算

①800-138-62②17x23-23x7③88x125

=800-(138+62)=23x(17-7)=(8x11)x125

二800-200=23x10=(8x125)x11

=600=230