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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,#,单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,#,单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,#,分数加减法的简便运算,一、复习,1,、整数加减法有哪些运算定律?,用字母怎样表示?,加法,交换率:,结合率:,a,b=b,a,a,b,c=a,(,b,c,),减法性质:,a,b,c=a,(,b,c,),a,(b,c)=a,b,c,2,、,用简便方法计算下列各题。,98+57+2+23 ,12.5,8.13,1.87,0.9+0.75+0.1+0.25 ,5.43,(,3.43,1.2,),=,(,98,2,)(,57,23,),=100,80,=180,=12.5,(,8.13,1.87,),=12.5,10,=2.5,(,0.9,0.1,)(,0.75,0.25,),=,=1,1,=2,=5.43,3.43,1.2,),=2,1.2,=0.8,通过前面的学习,同学们都知道整数加减法运,算定律不仅适用于整数加减法,还可以推广到小数,加减法,运用整数加法运算定律可以使一些整数和,小数的计算简便,现在我们又学习了分数加减法,,你们最关注的是什么问题呢?,跷跷板,3,7,+,2,5,2,5,+,3,7,=,(,2,3,+,1,4,),+,3,4,2,3,+,(,1,4,+,3,4,),=,9,8,3,7,4,7,1,6,5,12,7,12,请计算:,补充,1,6,=,5,12,7,12,(),1,6,=,1,=,1,6,1,=,9,8,(),3,7,4,7,9,8,=,1,1,8,=,从上面的两题中你能得出什么结论?,整数加减法的有关运算定律在分数加减法中同样适用。,7,10,5,8,三、练习,1,、用简便方法计算:,1,7,3,5,2,5,1,7,3,8,3,8,2,9,(),2,、,3,、,1,4,9,10,5,12,1,4,3,4,4,、填空:,1,12,1,20,1,6,=,1,1,2,1,5,1,2,1,3,1,3,1,4,1,4,1,5,=,1,=,4,5,4,5,8,-,5,8,-,3,8,=,4,5,8,-,1,3,8,5,8,5,12,+,+,=,5,8,+,3,8,+,5,12,=,1,5,12,=,+,5,12,1,=,3,5,8,=,4,5,8,-,5,8,+,3,8,(,),用心练一练,4,13,9,19,4,13,+,1,4,1,4,1,8,9,19,8,4,2,5,8,=,4,4,13,(,4,13,9,19,1,),=,4,9,19,1,=,2,10,19,=,8,9,19,(,2,2,8,+,4,1,8,+,5,8,),=,8,9,19,7,=,1,9,19,3,8,在括号里填上哪个数,可以使计算简便?,+()+1,3,8,+2,5,9,A.B.C.D.,5,8,5,9,5,8,4,9,5,8,5,5,13,(),A.B.C.,5,13,8,13,3,8,1.,2.,B,D,我来试一试,+,+,+,1,9,5,9,7,15,8,15,3,1,4,1,3,+,同学们打印一篇作文,小红用了 分,小明比,小红多用 分,小军比小明多用 分,小军要,用多少时间?,7,1,3,10,7,+,7,8,1,+,7,10,=,7,3,10,+,7,10,(,),+,1,7,8,=,8,+,1,7,8,=,9,7,8,(分),答:,小军打印这篇作文要用 分。,9,7,8,耐心解一解,减去3 的差再加上 ,结果,是多少?,3,5,6,7,细心看一看,1,7,8 3 +,1,7,3,5,6,7,=8 +3,6,7,1,7,1,3,=93 =5,3,5,2,5,静心想一想,1,9,4,1,4,3.55,1,5,=4,1,9,(0.25+3.55+0.2),=4,1,9,4,=,1,9,思考:,1,图形,面积,2,3,4,5,6,7,(占几分之几),1,4,1,4,1,16,1,8,1,16,1,8,1,8,1,4,图形,7,和,4,共占:,图形,3,、,4,、,5,共占:,1,4,
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