第一讲速算与巧算


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第一讲速算与巧算(三年级下册 人教版)
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基础班
1.用简便方法求和:
①536+(541+464)+459           ② 588+264+148 
③ 8996+3458+7546              ④567+558+562+555+563
解答: ① 536+(541+464)+459=(536+464)+(541+459)=2000
② 588+264+148=588+(12+252)+148=(588+12)+(252+148)=600+400=1000
③ 8996+3458+7546=(8996+4)+(3454+7546)=9000+11000(把 3458分成 4和=9000+11000 3454)=20000
 ④ 567+558+562+555+563=560×5+(7-2+2-5+3)(以560为基准数)=2800+5=2805

2.用简便方法求差:
① 1870-280-520                      ② 4995-(995-480) 
③ 4250-294+94                      ④ 1272-995
解答: ① 1870-280-520=1870-(280+520)=1870-800=1070
②4995-(995-480)=4995-995+480=4000+480=4480                  
③4250-294+94=4250-(294-94)=4250-200=4050
④ 1272-995=1272-1000+5=277

3.用简便方法计算下列各题:
① 478-128+122-72                    ② 464-545+99+345 
③ 537-(543-163)-57                 ④ 947+(372-447)-572
解答:① 478-128+122-72=(478+122)-(128+72)=600-200=400                   
② 464-545+99+345=464-(545-345)+100-1=464-200+100-1=363
③ 537-(543-163)-57=537-543+163-57=(537+163)-(543+57)=100              
④ 947+(372-447)-572=947+372-447-572=(947-447)-(572-372)=300

4.计算下面各题:
①23×1010101             ②4568×100010001
③72×125                 ④45×99              ⑤75×36
解答: ①23232323    ②456845684568     ③9000     ④4455     ⑤2700 

提高班
1.用简便方法求和:
①536+(541+464)+459           ② 588+264+148 
③ 8996+3458+7546              ④567+558+562+555+563
解答: ① 536+(541+464)+459=(536+464)+(541+459)=2000
② 588+264+148=588+(12+252)+148=(588+12)+(252+148)=600+400=1000
 ③ 8996+3458+7546=(8996+4)+(3454+7546)=9000+11000(把 3458分成 4和=9000+11000 3454)
  =20000
 ④ 567+558+562+555+563=560×5+(7-2+2-5+3)(以560为基准数)=2800+5=2805

2.用简便方法求差:

① 1870-280-520                      ② 4995-(995-480) 
③ 4250-294+94                      ④ 1272-995
解答: ① 1870-280-520=1870-(280+520)=1870-800=1070
②4995-(995-480)=4995-995+480=4000+480=4480                  
③4250-294+94=4250-(294-94)=4250-200=4050
④ 1272-995=1272-1000+5=277

3.用简便方法计算下列各题:
① 478-128+122-72                    ② 464-545+99+345 
③ 537-(543-163)-57                 ④ 947+(372-447)-572
解答:① 478-128+122-72=(478+122)-(128+72)=600-200=400                   
② 464-545+99+345=464-(545-345)+100-1=464-200+100-1=363
③ 537-(543-163)-57=537-543+163-57=(537+163)-(543+57)=100              
④ 947+(372-447)-572=947+372-447-572=(947-447)-(572-372)=300

4.计算下面各题:
①23×1010101             ②4568×100010001
③72×125                 ④45×99              ⑤75×36
解答: ①23232323    ②456845684568     ③9000     ④4455     ⑤2700 

5.计算下面各题:
①77×83                 ②56×64
③134×73                ④9×11×101
解答:①6391  ②3584  ③9782  ④9999

精英班
1.用简便方法求和:
①536+(541+464)+459           ② 588+264+148 
③ 8996+3458+7546              ④567+558+562+555+563
解答: ① 536+(541+464)+459=(536+464)+(541+459)=2000
② 588+264+148=588+(12+252)+148=(588+12)+(252+148)=600+400=1000
③ 8996+3458+7546=(8996+4)+(3454+7546)=9000+11000(把 3458分成 4和=9000+11000 3454)
  =20000
④ 567+558+562+555+563=560×5+(7-2+2-5+3)(以560为基准数)=2800+5=2805

2.用简便方法求差:
① 1870-280-520                      ② 4995-(995-480) 
③ 4250-294+94                      ④ 1272-995
解答: ① 1870-280-520=1870-(280+520)=1870-800=1070
②4995-(995-480)=4995-995+480=4000+480=4480                  
③4250-294+94=4250-(294-94)=4250-200=4050
④ 1272-995=1272-1000+5=277

3.用简便方法计算下列各题:

① 478-128+122-72                    ② 464-545+99+345 
③ 537-(543-163)-57                 ④ 947+(372-447)-572
解答:① 478-128+122-72=(478+122)-(128+72)=600-200=400                   
② 464-545+99+345=464-(545-345)+100-1=464-200+100-1=363
③ 537-(543-163)-57=537-543+163-57=(537+163)-(543+57)=100              
④ 947+(372-447)-572=947+372-447-572=(947-447)-(572-372)=300

4.计算下面各题:
①23×1010101             ②4568×100010001
③72×125                 ④45×99              ⑤75×36
解答: ①23232323    ②456845684568 &n

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