小學四年級數學簡便運算歸類
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第一類：加
65+73+135 357+288+143 272+68+28 =65+135+73 =357+143+288 =272+28+68 =200+73 =500+288 =300+68 =273 =788 =368
129+235+171+165 17+145+23+35 999+99+9+3 =129+171+235+165 =17+23+145+35 =999+1+99+1+9+1 =300+400 =40+180 =1000+100+10 =700 =220 =1110
第二類：減
400-256-44 517-53-47 284-159-41
=400-(256+44) =517-(53+47) =284-(159+41) =400-300 =517-100 =284-200
=100 =417 =84
258-42-16 545-167-145 478-47-178 =258-(42+16) =545-145-167 =478-178-47 =258-58 =400-167 =300-47
=200 =233 =253
344-(144+37) 236-(177+36)
=344-144-37 =236-177-36
=200-37 =236-36-177
=163 =200-177
=23
第三類：乘
8×(125×13)
=8×125×13 =
=1000×13 =250
=13000 =1000
=1000000
88×125
=11×8×125 =9
=11×1000 =9
=11000 =9000 =200000
42×125×8×5
=42×5×125×8 =25
=210×1000 =100
=210000 =1100000
(250×125)×(4×8) 250×125×4×8 ×4×125×8 ×1000 72×125 125×64×25 ×8×125 =125×8×2×4×25 ×1000 =1000×2×100 25×4×88×125 ×4×11×8×125 ×11×1000
第四類：乘
(12+50)×40 125×(40-8) 76×103
=12×40+50×40 =125×32 =76×(100+3) =480+2000 =125×8×4 =76×100+76×3 =2480 =1000×4 =7600+228 =4000 =7828
18×125
=9×2×125 = 25
=9×250 =100
=2250 =1100 =1050
99×9
=(100-1)×9 =100
=900-9 =7800-78
=891 =7722
第五類：乘
45×37+37×55
=37×(45+55) =28
=37 ×100 =28
=3700 =2800 =230
25×44 ×4×11 =21×11 =2199×78 ×78-78 28×21+28×79 ×(21+79) =23 ×100 =2342×25 ×2×25 ×50 17×23-23×7 ×(17-7) ×10
38×46+64×38 99×32+32 46+46×59 =38×(46+64) =32×(99+1) =46×(1+59) =38×110 =32×100 =46×60 =38×100+38×10 =3200 =2760
=3800+380
=4180
167×2+167×3+167×5 39×8+6×39-39×4 =167×(2+3+5) =39×(8+6-4)
=167×10 =39 ×10
=1670 =390
23×2×4+25×4×2+27×1×8+25×8×1 99×22+33×34
=23×8+25×8+27×8+25×8 =33×3×22+33×34 =(23+25+27+25)×8 =33×66+33×34 =100×8 =33×(66+34) =800 =33×100 =3300
第六類：除
360÷4÷9 250÷5÷2 600÷12÷5 =360÷36 =250÷10 =600÷60 =10 =25 =10
800÷5÷8 480÷5÷48 240÷5÷12 =800÷40 =480
=20 =10
=2 =4
420÷35
=420÷7÷5 =(2400
=60÷5 =9600
=12 =96 =62.4
第七類：加減
92+99 197+102 354-108
=91+1+99 =197+2+100 =354-100-8
=91+100 =199+100 =254-8
=191 =299 =246
÷48÷5 =240÷5 =202400÷25 ×4)÷(25×4) =(7800÷100 =62400÷12÷5 ÷5 7800÷125 ×8)÷(125×8) ÷1000
323+189-123 248-86+48 672-36+64
=323-123+189 =248-(86-48) =636+64
=200+189 =248-38 =700
=389 =210
(6467-832)+(1832-1467) 1530+(592-530)-192 =6467-832+1832-1467 =1530+592-530-192 =6467-1467+1832-832 =1530-530+592-192 =5000+1000 =1000+400
=6000 =1400
(2+4+6+……+98+100)-(1+3+5+……+97+99)
=(2-1)+(4-3)+(6-5)+。。。。+(98-97)+(100-99)
=50
第八類：乘除
960×46÷48 99000÷121×11 3702×38÷1234 =960÷48×46 =99000÷(121÷11) =3702÷1234×38 =20×46 =99000÷11 =3×38 =920 =9000 =114
640÷(16÷4) 1000÷(125÷4) =640÷4 =1000÷125×4
=160 =8×4
=32
第九類：加減乘除
(98+147)÷49
=98÷49 +147÷49
=2+3 =10-1 =10-1 =5 =9 =9
1736÷28+1064÷28
=(1736+1064)÷28 =125=2800÷28 =125=100 =125 =1000
=110000 230-23)÷23 (250-25)÷25 ÷23 -23÷23 =250÷25-25÷25 125×(860+240÷12)×(860+20) ×880 ×8×110 ×110 ( =230
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