暑假专项提升——四则运算和简便运算计算（专项训练）-2025-2026学年四年级下册数学人教版

**基本信息** 聚焦四年级四则运算简便运算，通过22道梯度题系统覆盖运算律与性质，以题载法构建“观察数据-选择方法-规范简算”的思维链，培养运算能力与推理意识。 **专项设计** |模块|题量/典例|方法提炼|知识逻辑| |----|-----------|----------|----------| |加法简便运算|3题（如185+342+215）|交换律、结合律（凑整）|从基本运算律到多数连加优化| |减法简便运算|3题（如263-96-104）|性质（a-b-c=a-(b+c)）|与加法运算律逆向呼应| |乘法简便运算|8题（如125×32×4、33×46+33×55-33）|交换律、结合律（拆数）、分配律（正逆向）|特殊数（125/25）与运算律融合| |除法简便运算|4题（如7400÷25÷4）|性质（a÷b÷c=a÷(b×c)）|与减法性质类比迁移| |混合运算|4题（如（639-71×9）÷84）|运算顺序与简算结合|综合应用运算能力|

暑假专项提升-四则运算和简便运算（计算题专项练） 2025-2026学年小学数学人教版四年级下学期 1.用简便方法计算。 78+66+34103+141+1974×98×25 201×37+63×2017000÷8÷125450-28-72 9×46+9×55-972×1255200÷(52×25) 2.计算下面各题，能简算的要简算。 88×125 7400÷25÷4 513-42-13 (639-71×9)÷84 33×46+33×55-33 3,下面各题怎样简便就怎样算。 125×32×4 4200÷25÷8 25×53×4 84×51+49×84 98×63 67×49+67 4.计算下面各题，能简算的要简算。 567+153-6776×1014900÷35 8900:25÷4455[(200-193)×13]99×87+99×14-99 5.计算下面各题，怎样简便就怎样计算。 263-96-104 384-(84+120) 467-85-67 598+120-298 6.计算下面各题。 30×17-800-16(69+18)×(550-11)576[18×(96÷24)] 7.用简便方法计算。 185+342+215267+139+133+261 328+456+144194+206+371+229 8.计算下列各题，能简算的要简算。 325-64-3635×98+2×35 1300÷25÷4 44×25 9.怎样简便怎样算。 536-(418-164) 435×14+565×14 85×101 1800÷25÷4 10.简便计算。 435-128-7256×10172×125 11.用简便方法计算下面各题。 93×28-18×93 327+65+173+35 330÷15÷2 45×98 12.用简便方法计算。 196+275+104-75189×101-1891200÷25÷8 13.用简便方法计算。 25×36 934-(334+189) 37×48+37×52 99×45 14.用简便方法计算。 576-173-127125×32×25203×4347×99+47 15.用简便方法计算下面各题。 63×73-63×63524-175-2548×101 16.用简便方法计算。 199×75+75 150×17×4 99×47+47×2-47 420÷(6×5) 17.怎样简便就怎样算。 49+134+44+51+66 316×19-316×19 25×48 18.计算下面各题，能简算的要简算。 139-54+61118+153÷17×6 32×63+38×3232 1200÷48×4 5×8×125 741H(997-484)÷27] 19.能简算的要简算。 128+164+72+36 77×101 960-[(15-11)×12] 20.能简便运算的简便运算。 346+57+43467-85-67 [480-(128+72)]÷4 21.计算下面各题，怎样简便就怎样算。 125×31×8 645-137-63 45×[900:(32-17)] 22.计算下面各题，能简算的要简算。 36×[180:(46-28)]125×72 672-135-265-172 7200÷(72×25) 48×27+73×48 62+115+38+185 参考答案 1.178:441:9800: 20100:7:350: 900:9000:4 78+66+34 =78+(66+34) =78+100 =178 103+141+197 =141+(103+197) =141+300 =441 4×98×25 =98×(4×25) =98×100 =9800 201×37+63×201 =201×(37+63) =201×100 =20100 7000÷8÷125 =7000(8×125) =7000÷1000 =7 450-28-72 =450-(28+72) =450-100 =350 9×46+9×55-9 =9×(46+55-1) =9×100 =900 72×125 =8×9×125 =9×(8×125) =9×1000 =9000 5200÷(52×25) =5200÷52÷25 =100÷25 =4 2.11000:74,458: 0:3300 125×88 =125×(80+8) =125×80+125×8 =10000+1000 =11000 7400:25÷4 =7400÷(25×4) =7400÷100 =74 513-42-13 =513-13-42 =500-42 =458 (639-71×9)÷84 =(639-639)÷84 =0÷84 =0 33×46+33×55-33 =33×(46+55-1) =33×(101-1) =33×100 =3300 3.16000:21: 5300:8400: 6174.3350 125×32×4 =125×(8×4)×4 =(125×8)×(4×4) =1000×16 =16000 4200÷25÷8 =4200:(25×8) =4200÷200 =21 25×53×4 =25×4×53 =100×53 =5300 84×51+49×84 =84×(51+49) =84×100 =8400 98×63 =(100-2)×63 =100×63-2×63 =6300-126 =6174 67×49+67 =67×49+67×1 =67×(49+1) =67×50 =3350 4.653:7676:140 89:5:9900 567+153-67 =567-67+153 =500+153 =653 76×101 =76×(100+1) =76×100+76×1 =7600+76 =7676 4900÷35 =4900:(7×5) =4900÷7÷5 =700÷5 =140 8900÷25÷4 =8900:(25×4) =8900÷-100 =89 455[(200-193)×13] =455[7×13] =455÷91 =5 99×87+99×14-99 =99×(87+14-1) =99×100 =9900 5.63:180:315:420 263-96-104 =263-(96+104) =263-200 =63 384-(84+120) =384-84-120 =300-120 =180 467-85-67 =467-67-85 =400-85 =315 598+120-298 =598-298+120 =300+120 =420 6.460:4350.8 30×17-800÷16 =510-50 =460 (69+18)×(550÷11) =87×50 =4350 576÷[18×(96÷24)] =576÷[18×4] =576÷72 =8 7. 742,800,928.1000 185+342+215 =185+215+342 =400+342 =742 267+139+133+261 =(267+133)+(139+261) =400+400 =800 328+456+144 =328+(456+144) =328+600 =928 194+206+371+229 =(194+206)+(371+229) =400+600 =1000 8.225:3500 13:1100 325-64-36 =325-(64+36) =325-100 =225 35×98+2×35 =35×(98+2) =35×100 =3500 1300÷25÷4 =1300÷(25×4) =1300÷100 =13 44×25 =(40+4)×25 =40×25+4×25 =1000+100 =1100 9.282:14000: 8585:18 536-(418-164) =536-418+164 =536+164-418 =700-418 =282 435×14+565×14 =(435+565)×14 =1000×14 =14000 85×101 =85×(100+1) =85×100+85x1 =8500+85 =8585 1800÷25÷4 =1800÷(25×4) =1800÷100 =18 10.235:5656:9000 435-128-72 =435-(128+72) =435-200 =235 56×101 =56×(100+1) =5600+56 =5656 72×125 =(9×8)×125 =9×(8×125) =9×1000 =9000 11.930:600: 11.4410 93×28-18×93 =93×(28-18) =93×10 =930 327+65+173+35 =327+173+65+35 =(327+173)+(65+35) =500+100 =600 330÷15÷2 =330÷(15×2) =330-30 =11 45×98 =45×(100-2) =45×100-45×2 =4500-90 =4410 12.500:18900:6 196+275+104-75 =(196+104)+275-75 =300+275-75 =575-75 =500 189×101-189 =189×101-189×1 =189×(101-1) =189×100 =18900 1200÷25÷8 =1200÷(25×8) =1200÷200 =6 13.900:411:3700:4455 25×36 =25×(4×9) =(25×4)×9 =100×9 =900 934-(334+189) =934-334-189 =600-189 =411 37×48+37×52 =37×(48+52) =37×100 =3700 99×45 =(100-1)×45 =100×45-1×45 =4500-45 =4455 14. 276:100000:8729:4700 576-173-127 =576-(173+127） =576-300 =276 125×32×25 =125×(8×4)×25 =(125×8)×(4×25) =1000×100 =100000 203×43 =(200+3)×43 =200×43+3×43 =8600+129 =8729 47x99+47 =47×(99+1) =47×100 =4700 15. 630:324:4848 63×73-63×63 =63×(73-63) =63×10 =630 524-175-25 =524-(175+25) =524-200 =324 48×101 =48×(100+1) =48×100+48×1 =4800+48 =4848 16.15000:10200:4700:14 199×75+75 =199×75+75×1 =(199+1)×75 =200×75 =15000 150×17×4 =150×4×17 =600×17 =10200 99×47+47×247 =99×47+47×247×1 =(99+2-1)×47 =4700 420÷(6×5) =420÷6÷5 =70÷5 =14 17.344.0.1200 49+134+44+51+66 =49+51+134+66+44 =(49+51)+(134+66)+44 =100+200+44 =300+44 =344 316×19-316×19 =(316-316)×19 =0×19 =0 25×48 =25×(4×12) =(25×4)×12 =100×12 =1200 18.146:172:3200: 100:5000:39 139-54+61 =85+61 =146 118+153÷17×6 =118+9×6 =118+54 =172 32×63+38×32-32 =32×(63+38-1) =32×100 =3200 1200÷48×4 =1200÷(48÷4) =1200÷12 =100 5×8×125 =5×(8×125) =5×1000 =5000 741[(997-484)÷27] =741[513÷27 =741÷19 =39 19. 400:7777:20 128+164+72+36 =(128+72)+(164+36) =200+200 =400 77×101 =77×(100+1) =77×100+77×1 =7700+77 =7777 960H(15-11)×12] =960-H4×12] =960-48 =20 20.446.315:70 346+57+43 =346+(57+43) =346+100 =446 467-85-67 =467-67-85 =400-85 =315 [480-(128+72)]÷4 =[480-200]÷4 =280÷4 =70 21.31000:445:2700 (1)125×31×8 =125×8×31 =1000×31 =31000 (2)645-137-63 =645-(137+63) =645-200 =445 (3)45×[900÷(32-17)] =45×[900÷15] =45×60 =2700 22.360:9000:100: 4:4800:400 36×[180÷(46-28)] =36×[180-18] -36×10 =360 125×72 =125×(8×9) =125×8×9 =1000×9 =9000 672-135-265-172 =(672-172)-(135+265) =500-400 =100 7200÷(72×25) =7200÷72÷25 =100÷25 =4 48×27+73×48 =48×(27+73) =48×100 =4800 62+115+38+185 =(62+38)+(115+185) =100+300 =400