人教版四年级数学下册第3单元运算定律乘法运算定律教学课件

人教版四年级数学下册第3单元运算定律乘法运算定律教学课件

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www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com请你再举几个这样的例子。（3×6）×5=3×（6×5）7×（4×20）=（7×4）×20探索新知一 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com从上面的算式中，你发现了什么？这叫做乘法结合律。三个数相乘，先乘前两个数或者先乘后两个数，积不变。探索新知一 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com(a×b)×c=a×(b×c)能用a、b、c三个字母表示乘法结合律吗？用字母公式怎样表示？探索新知一 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com把应用乘法交换律的算式连起来。13×12c×bb×c2×5×72×7×513×12a×00×a巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com填空1、交换两个（）的位置，积（），这叫做乘法交换律，用字母表示是（）。2、75×26=（）×（）3、a×()=15×()因数不变a×b＝b×a267515a巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com6、一个数和1相乘得（）。7、一个数和0相乘得（）。8、23×25×4=4×()×()9、5×12×8=（）×8×（）这个数02523512巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com根据乘法运算定律填上合适的数。12×32=32×，108×75=×.30×6×7=30×（6×），125×（8×40）=（×）×.12751087125840巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com填空35×2×5=35×（2×）（60×25）×4=60×（×4）（125×5）×8=（×）×5（3×4）×5×6=（×）×（×）52512584536巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com利用发现的规律，计算。25×17×4（25×125）×（8×4）38×125×8×3巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com25×17×4=（25×4）×17=100×17=1700巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com（25×125）×（8×4）=（25×4）×（125×8）=100×1000=100000巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com38×125×8×3=（125×8）×（38×3）=1000×114=114000巩固练习二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com两个数相乘，交换两个因数的位置，积不变，这叫做乘法交换律，用字母表示为a×b=b×a。三个数相乘，先乘前两个数，或者先乘后两个数，积不变，这叫做乘法结合律。用字母表示为：（a×b）×c=a×（b×c）课堂小结三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com(a×b)×c=a×(b×c)乘法结合律:三个数相乘，先乘前两个数或者先乘后两个数，积不变。乘法交换律:两个因数交换位置，积不变。a×b=b×a复习导入一 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com一共有多少名同学参加了这次植树活动？7探索新知二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com列式可能会有以下两种情况：（1）（4+2）×25（2）4×25+2×254×25+2×25：先算挖坑、种树和抬水、浇树的各多少人，再算总人数。（4+2）×25：先计算每组多少人，再算总人数。分别说说上面两道算式所表示的意义有什么不同？探索新知二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com（4+2）×25=6×25=1504×25+2×25=100+50=150（4+2）×254×25+2×25=探索新知二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com从上面的算式中，你发现了什么规律？两个数的和与一个数相乘，可以先把他们分别与这个数相乘，再相加，结果不变。这叫做乘法分配律。探索新知二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com（a+b）×c=a×c+b×c或a×（b+c）=a×b+a×c能用a、b、c三个字母表示乘法分配律吗？用字母公式怎样表示？探索新知二 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com1.下面哪些算式是正确的？正确的画“√”，错误的画“×”。56×(19+28)=56×19+28()32×(7×3)=32×7+32×3()64×64+36×64=(64+36)×64()××√巩固练习三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com运用了乘法分配律。25×12＝25×2＋25×10502512×2503002.观察下面的竖式，说说在计算的过程中运用了什么运算定律。巩固练习三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com3.√×√巩固练习三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com4.填空：（32+35）×4=()×4+()×4（62+12）×3=()×()+()×()3235623123巩固练习三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com5.把相等的算式用线连接起来：32×48+32×5220×17+20×1520×（17+15）（5+8）×2424×5+24×832×（48+52）巩固练习三 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com两个数的和与一个数相乘，可以先把它们这个数分别相乘，再相加，这叫做乘法分配律，用字母表示为（a+b）×c=a×c+b×c。课堂小结四 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com=60=70=1000=80=120=100=90=200课后练习五 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com1525482514885课后练习五 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com课后练习五 www.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.comwww.youyi100.com√√课后练习五 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