第二周简便运算(一)专题简析:根据算式的结构和数的特征,灵活运用运算法则、定律、性质和某些公式,可以把一些较复杂的四则混合运算化繁为简,化难为易。例题1。计算4.75-9.63+(8.25-1.37)原式=4.75+8.25-9.63-1.37=13-(9.63+1.37)=13-11=2练习1计算下面各题。1.6.73-2+(3.27-1)2.7-(3.8+1)-13.14.15-(7-6)-2.1254.13-(4+3)-0.75例题2。计算333387×79+790×66661原式=333387.5×79+790×66661.25=(33338.75+66661.25)×790=100000×790=79000000练习2计算下面各题:1.3.5×1+125%+1÷2.975×0.25+9×76-9.753.9×425+4.25÷4.0.9999×0.7+0.1111×2.7例题3。计算:36×1.09+1.2×67.3原式=1.2×30×1.09+1.2×67.3=1.2×(32.7+67.3)=1.2×100=120疯狂操练3计算:1.45×2.08+1.5×37.62.52×11.1+2.6×7783.48×1.08+1.2×56.84.72×2.09-1.8×73.6例题4。计算:3×25+37.9×6原式=3×25+(25.4+12.5)×6.4=3×25+25.4×6.4+12.5×6.4=(3.6+6.4)×25.4+12.5×8×0.8=254+80=334练习4计算下面各题:1.6.8×16.8+19.3×3.22.139×+137×3.4.4×57.8+45.3×5.6例题5。计算81.5×15.8+81.5×51.8+67.6×18.5原式=81.5×(15.8+51.8)+67.6×18.5=81.5×67.6+67.6×18.5=(81.5+18.5)×67.6=100×67.6=6760练习51.53.5×35.3+53.5×43.2+78.5×46.52.235×12.1+235×42.2-135×54.33.3.75×735-×5730+16.2×62.5答案:练一:1、=62、=13、=114、=5练二:1、=7.52、=9753、=42504、=0.9999练三:1、=1502、=26003、=1204、=18练四:1、=1762、=1383、=508练五:1、=78502、=54303、=1620