内容正文:
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:连加运算,把相加得整十、整百的数用 小括号括起来先求和
827+15+85 119+81+259 368+29+32
329+89+21 248+19+467 569+90+69
355+260+140+245 135+39+65+11 126+54+74+46
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:连减运算,把后两个减数相加得整十、整百的数用小括号括起来先
求和,最后求差
645-180-245
472-163-37
369-108-45
702-54-46
654-199-111
897-298-107
600-137-63
890-132-268
500-98-147
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:连乘运算,把相乘得整十、整百的数用小括号括起来先求积
25×14×4
28×4×25
89×13×19
125×19×8
13×125×3×8
26×6×150×5
250×13×4
50×60×5×4
125×80×5×4
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:连除运算,把相乘得整十、整百的数用小括号括起来先求积,最
后求商
280÷8÷5
7300÷25÷4
440÷5÷2=
100÷25÷4
8100÷4÷75
999÷1÷3=
4600÷25÷4
720÷16÷5
690÷13÷2=
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:(注意:一定要括号外的数分别乘括号里的两个数,再把积相加
(40+8)×25
265×(105-5)
(60×25)×4
125×(8+80)
86×(1000-2)
25×(200+4)
36×(100+50)
15×(40-8)
24×(2+10)
四 年 级 下 册 简 便 运 算 分 类 拔 尖 练 习 小 纸 条
班别:_ 姓 名 : _ 学号:
类型:连乘运算,把一个数拆成两个数的积,其中一个数能与另外一个数
相乘得整十、整百数
20×55 44×25 88×125
125×32×25 125×25×64 9×72×125
145×4×25 525×48×98 366×70×25
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
类型:(注意:两个积中相同的因数只能写一次)
36×34+36×66
93×6+93×4
265×105-265×5
75×23+25×23
325×113-325×13
26×57+43×26
63×43+57×63
28×18-8×28
167×2+167×3+167×5
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名:
类型:(提示:把83看作83×1,再用乘法分配律)
382×101-382 56+56×99
75×101-75 125×81-125
14+99×14 256+56×99
学号:
99×99+99
91×31-91
157+19×57
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
观察数的特点,综合运用(尾数相同,优先 减;尾数相同,减去和)
385-185-78-22
629-65-135-129
329-35-145-89
763-246-54-63
821-35-64-1
533-53-56-12
3456-(712+456+88)
648-351-148-149
897-451-123-56
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
观察数的特点,带符号搬家!
263-129+37-71 748-351+252-149 482-321+118-179
281-44-56+19 16+39-48+61+84 897-451+123-56
108+326-125+192-126-75
四 年 级 下 册 简 便 运 算 分 类 拔 尖 练 习 小 纸 条
班别: 姓名: 学号:
观察数的特点,分组法(提优必做)
2+4+6+8+……+96+98+100
40-38+36-32+……+4-2
50+49-48-47+46+45-44-43+ …-4-3+2+1
四年级下册简便运算分类拔尖练习小纸条
班别:
加法交换律:
88+56+12
36+18+64
124+68+76
姓名:
a+b=b+a a+b+c=a+c+b
178+350+22
167+289+33
168+250+32
学号:
56+208+144
44+37+56
244+182+56
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
加法结合律:(a+b)+c=a+(b+c)
378+527+73
480+325+75
47+236+64
582+456+544
91+89+11
169+78+22
163+49+251
78+46+154
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
加法交换、结合律的结合运用(先交换,再结合)
25+71+75+29 243+89+111+57 286+54+46+14
65+204+335+96 78+53+47+22 168+151+49+332
189+35+211+165 43+78+122+257 24+127+476+573
四年级下册简便运算分类拔尖练习小纸条
班别: 姓名: 学号:
找好朋友数,凑整。( 个位凑十)
452+35+148+65 336+17+83+64 353+32+47+68
372+9+230+18
256+56+42+139
247+17+64+82
533+17+38+46
573+42+74+86
846+32+12+31
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一、连加运算(加法交换律、结合律)
1. 827+15+85 = 827+(15+85) = 827+100 = 927
2. 119+81+259 = (119+81)+259 = 200+259 = 459
3. 368+29+32 = (368+32)+29 = 400+29 = 429
4. 329+89+21 = 329+(89+21) = 329+110 = 439
5. 248+19+467 = (248+467)+19 = 715+19 = 734
6. 569+90+69 = 569+(90+69) = 569+159 = 728
7. 355+260+140+245 = (355+245)+(260+140) = 600+400 = 1000
8. 135+39+65+11 = (135+65)+(39+11) = 200+50 = 250
9. 126+54+74+46 = (126+74)+(54+46) = 200+100 = 300
二、连减运算(减法性质:a-b-c = a-(b+c))
1. 645-180-245 = (645-245)-180 = 400-180 = 220
2. 702-54-46 = 702-(54+46) = 702-100 = 602
3. 600-137-63 = 600-(137+63) = 600-200 = 400
4. 472-163-37 = 472-(163+37) = 472-200 = 272
5. 654-199-111 = 654-(199+111) = 654-310 = 344
6. 890-132-268 = 890-(132+268) = 890-400 = 490
7. 369-108-45 = 369-(108+45) = 369-153 = 216
8. 897-298-107 = (897-107)-298 = 790-298 = 492
9. 500-98-147 = 500-(98+147) = 500-245 =255
三、连乘运算(乘法交换律、结合律)
1. 25×14×4 = (25×4)×14 = 100×14 = 1400
2. 125×19×8 = (125×8)×19 = 1000×19 = 19000
3. 250×13×4 = (250×4)×13 = 1000×13 = 13000
4. 28×4×25 = 28×(4×25) = 28×100 = 2800
5. 13×125×3×8 = (125×8)×(13×3) = 1000×39 = 39000
6. 50×60×5×4 = (50×4)×(60×5) = 200×300 = 60000
7. 89×13×19 = 21983
8. 26×6×150×5 =117000
9. 125×80×5×4 = 200000
二、连除运算答案
1. 280÷8÷5 = 7
2. 100÷25÷4 =1
3. 4600÷25÷4 = 46
4. 7300÷25÷4 =73
5. 8100÷4÷75 = 27
6. 720÷16÷5 = 9
7. 440÷5÷2 = 44
8. 999÷1÷3 =333
9. 690÷13÷2 = 26......14
1. (40+8)×25 = 1200
2. 125×(8+80) = 11000
3. 36×(100+50) = 5400
4. 265×(105-5) = 26500
5. 86×(1000-2) = 85828
6. 15×(40-8) = 480
7. (60×25)×4 = 6000
8. 25×(200+4) =5100
9. 24×(2+10) = 288
1. 20×55 = 1100
2. 44×25 = 1100
3. 88×125 = 11000
4. 125×32×25 = 100000
5. 125×25×64 = 200000
6. 9×72×125 = 81000
7. 145×4×25 = 14500
8. 525×48×98 = 2469600
9. 366×70×25 = 640500
乘法分配律逆运算(提取公因数)
1. 36x34 + 36x66
= 36x(34+66)=36x100=3600
2. 75x23 + 25x23
= 23x(75+25)=23x100=2300
3. 63x43 + 57x63
= 63x(43+57)=63x100=6300
4. 93x6 + 93x4
= 93x(6+4)=93x10=930
5. 325x113 - 325x13
= 325x(113-13)=325x100=32500
6. 28x18 - 8x28
= 28x(18-8)=28x10=280
7. 265x105 - 265x5
= 265x(105-5)=265x100=26500
8. 26x57 + 43x26
= 26x(57+43)=26x100=2600
9. 167x2 + 167x3 + 167x5
= 167x(2+3+5)=167x10=1670
乘法分配律逆运算(提取公因数,补乘1)
核心思路:将单独的数改写为“数×1”,再提取公因数。
1. 382×101 - 382
= 382×(101-1)
= 382×100
= 38200
2. 56 + 56×99
= 56×(1+99)
= 56×100
= 5600
3. 99×99 + 99
= 99×(99+1)
= 99×100
= 9900
4. 75×101 - 75
= 75×(101-1)
= 75×100
= 7500
5. 125×81 - 125
= 125×(81-1)
= 125×80
= 10000
6. 91×31 - 91
= 91×(31-1)
= 91×30
= 2730
7. 14 + 99×14
= 14×(1+99)
= 14×100
= 1400
8. 256 + 56×99
= 200 + 56 + 56×99
= 200 + 56×(1+99)
= 200 + 56×100
= 200 + 5600
= 5800
9. 157 + 19×57
= 100 + 57 + 19×57
= 100 + 57×(1+19)
= 100 + 57×20
= 100 + 1140
= 1240
连减简便运算(减法性质:a-b-c = a-(b+c),分组凑整)
1. 385-185-78-22
= (385-185) - (78+22)
= 200 - 100
= 100
2. 763-246-54-63
= (763-63) - (246+54)
= 700 - 300
=400
3. 3456-(712+456+88)
= 3456 - 456 - (712+88)
= 3000 - 800
= 2200
4. 629-65-135-129
= (629-129) - (65+135)
= 500 - 200
= 300
5. 821-35-64-1
= (821-1) - (35+64)
= 820 - 99
= 820 - 100 + 1
= 721
6. 648-351-148-149
= (648-148) - (351+149)
= 500 - 500
= 0
7. 329-35-145-89
= (329-89) - (35+145)
= 240 - 180
=60
8. 533-53-56-12
= (533-53) - (56+12)
= 480 - 68
=412
9. 897-451-123-56
= 897 - (451+123+56)
= 897 - 630
=267
带符号搬家(加减混合凑整)
核心思路:移动数时带着前面的符号,将能凑整的数分组计算。
1. 263-129+37-71
= (263+37) - (129+71)
= 300 - 200
= 100
2. 748-351+252-149
= (748+252) - (351+149)
= 1000 - 500
= 500
3. 482-321+118-179
= (482+118) - (321+179)
= 600 - 500
= 100
4. 281-44-56+19
= (281+19) - (44+56)
= 300 - 100
= 200
5. 16+39-48+61+84
= (16+84) + (39+61) - 48
= 100 + 100 - 48
= 152
6. 897-451+123-56
= (897+123) - (451+56)
= 1020 - 507
= 513
7. 108+326-125+192-126-75
= (108+192) + (326-126) - (125+75) = 300 + 200 - 200
= 300
1. 2+4+6+......+98+100 =2550
2. 40-38+36-34+......+4-2 =20
3. 50+49-48-47+......+2+1 = 51
加法交换律与结合律(凑整简便运算)
1. 88+56+12
= (88+12)+56
= 100+56
= 156
2. 178+350+22
= (178+22)+350
= 200+350
=550
3. 56+208+144
= (56+144)+208
= 200+208
= 408
4. 36+18+64
= (36+64)+18
= 100+18
= 118
5. 167+289+33
= (167+33)+289
= 200+289
= 489
6. 44+37+56
= (44+56)+37
= 100+37
=137
7. 124+68+76
= (124+76)+68
= 200+68
=268
8. 168+250+32
= (168+32)+250
= 200+250
= 450
9. 244+182+56
= (244+56)+182
= 300+182
= 482
解答
利用加法结合律 (a+b)+c = a+(b+c) 简便运算
1. 378+527+73
= 378 + (527+73)
= 378 + 600
=978
2. 582+456+544
= 582 + (456+544)
= 582 + 1000
= 1582
3. 163+49+251
= 163 + (49+251)
= 163 + 300
= 463
4. 480+325+75
= 480 + (325+75)
= 480 + 400
= 880
5. 91+89+11
= 91 + (89+11)
= 91 + 100
= 191
6. 78+46+154
= 78 + (46+154)
= 78 + 200
=278
7. 47+236+64
= 47 + (236+64)
= 47 + 300
= 347
8. 169+78+22
= 169 + (78+22)
= 169 + 100
= 269
解答
加法交换律+结合律(先交换,再凑整)
核心:交换位置后,将能凑成整百/整千的数结合计算。
1. 25+71+75+29
= (25+75) + (71+29)
= 100 + 100
= 200
2. 243+89+111+57
= (243+57) + (89+111)
= 300 + 200
= 500
3. 286+54+46+14
= (286+14) + (54+46)
= 300 + 100
= 400
4. 65+204+335+96
= (65+335) + (204+96)
= 400 + 300
=700
5. 78+53+47+22
= (78+22) + (53+47)
= 100 + 100
= 200
6. 168+151+49+332
= (168+332) + (151+49)
= 500 + 200
= 700
7. 189+35+211+165
= (189+211) + (35+165)
= 400 + 200
= 600
8. 43+78+122+257
= (43+257) + (78+122)
= 300 + 200
= 500
9. 24+127+476+573
= (24+476) + (127+573)
= 500 + 700
= 1200
加法交换律+结合律(先交换,再凑整)
1. 452+35+148+65
= (452+148)+(35+65)
= 600+100
=700
2. 336+17+83+64
= (336+64)+(17+83)
= 400+100
= 500
3. 353+32+47+68=50
= (353+47)+(32+68)
= 400+100
= 500
4. 372+9+230+18
= (372+18)+(9+230)
= 390+239
=629
5. 247+17+64+82
= 247+(17+82+64)
= 247+163
= 410
6. 573+42+74+86
= 573+42+(74+86)
= 573+42+160
= 775
7. 256+56+42+139
= 256+(56+42)+139
= 256+98+139
= 256+100-2+139
=493
8. 533+17+38+46
= (533+17)+(38+46)
= 550+84
=634
9. 846+32+12+31
= 846+(32+12+31)
= 846+75
= 921
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