<div><div style="text-align: center;"><strong><font color="#ff0000">运算定律和性质</font></strong></div><div><br></div><div>1、加法交换律:两个加数交换位置,和不变。这叫做加法交换律。</div><div><br></div><div>用字母表示:a+b=b+a</div><div><br></div><div>2、加法结合律:三个数相加,先把前两个数相加,或者先把后两个数相加,和不变。这叫做加法结合律。</div><div><br></div><div>用字母表示:(a+b)+c= a +( b+c)</div><div><br></div><div>3、乘法交换律:两个因数交换位置,积不变。这叫做乘法交换律。</div><div><br></div><div>用字母表示:a×b=b×a</div><div><br></div><div>4、乘法结合律:三个数相乘,先把前两个数相乘,或者先把后两个数相乘,积不变。这叫做乘法结合律。</div><div><br></div><div>用字母表示:(a×b)×c= a ×( b×c)</div><div><br></div><div>5、乘法分配律:两个数的和与一个数相乘,可以先把它们与这个数分别相乘,再相加。这叫做乘法分配律。</div><div><br></div><div>用字母表示:(a+b)×c= a×c+b×c </div><div><br></div><div>a ×( b+c) =a×b+a×c </div><div><br></div><div>拓展: (a-b)×c= a×c-b×c </div><div><br></div><div>a ×( b-c) =a×b-a×c </div><div><br></div><div>6、减法的性质:一个数连续减去两个数,可以减去这两个减数的和。</div><div><br></div><div>用字母表示: a-b-c= a -( b+c) a -( b+c) = a-b-c</div><div><br></div><div>7、一个数连续减去两个数,可以先减去第二个减数,再减去第一个减数。</div><div><br></div><div>用字母表示:a-b-c= a- c – b</div><div><br></div><div>8、除法的性质:一个数连续除以两个数,可以除以这两个除数的积。</div><div><br></div><div>用字母表示: a÷b÷c= a ÷( b×c) a ÷( b×c) = a÷b÷c</div><div><br></div><div>9、一个数连续除以两个数,可以先除以第二个除数,再除以第一个除数。</div><div><br></div><div>用字母表示:a÷b÷c= a÷ c ÷ b</div></div><div><br></div><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算专题训练</font></span></div><br>158+262+138 375+219+381+225 5001-247-1021-232 <br><br><br>(181+2564)+2719 378+44+114+242+222 276+228+353+219 <br><br><br>(375+1034)+(966+125) (2130+783+270)+1017 99+999+9999+99999 <br><br><br>7755-(2187+755) 2214+638+286 3065-738-1065 <br><br><br>899+344 2357-183-317-357 2365-1086-214 <br><br><br>497-299 2370+1995 3999+498 <br><br><br>1883-398 12×25 75×24 <br><br><br>138×25×4 (13×125)×(3×8) (12+24+80)×50 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题2</font></span></div><br>704×25 25×32×125 32×(25+125) <br><br><br>88×125 102×76 58×98 <br><br><br>178×101-178 84×36+64×84 75×99+2×75 <br><br><br>83×102-83×2 98×199 123×18-123×3+85×123 <br><br><br>50×(34×4)×3 25×(24+16) 178×99+178 <br><br><br>79×42+79+79×57 7300÷25÷4 8100÷4÷75 <br><br><br>16800÷120 30100÷2100 32000÷400 21500÷125 <br><br><br>49700÷700 1248÷24 3150÷15 4800÷25 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题3</font></span></div><br>2356-(1356-721) 1235-(1780-1665) 75×27+19×2 5 <br><br><br>31×870+13×310 4×(25×65+25×28) <br><br><br><span style=" font-family: Arial;"><strong> 第一种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;">(300+6)x12 </span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"> 25x(4+8)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">125x(35+8)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"> (13+24)x8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><span style=" font-family: 仿宋_GB2312;"></span><br><br><span style=" font-family: Arial;"><strong> 第二种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 84x101</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">504x25</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">78x102</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">25x204</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><span style=" font-family: 仿宋_GB2312;"></span><br><br><span style=" font-family: Arial;"><strong>第三种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 99x64</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">99x16</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">638x99</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">999x99</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第四种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 99X13+13</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">25+199X25</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">32X16+14X32</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">78X4+78X3+78X3</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第五种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 125X32X8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">25X32X125</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">88X125</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">72X125</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><span style=" font-family: 仿宋_GB2312;"></span><br>{$setpage}<div><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题4</font></span></div><br><span style=" font-family: Arial;"><strong>第六种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 3600÷25÷4</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">8100÷4÷75</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">3000÷125÷8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">1250÷25÷5</span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><span style=" font-family: 仿宋_GB2312;"></span><br><br><span style=" font-family: Arial;"><strong>第七种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 1200-624-76 </span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">2100-728-772</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">273-73-27</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">847-527-273</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第八种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 278+463+22+37</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">732+580+268</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">1034+780320+102</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">425+14+186 </span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第九种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 214-(86+14)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">787-(87-29)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">365-(65+118)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">455-(155+230)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><br><br><span style=" font-family: Arial;"> <strong>第十种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 576-285+85</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">825-657+57</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">690-177+77</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">755-287+87</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第十一种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 871-299</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">157-99</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">363-199</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">968-599</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;"><strong>第十二种</strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;">178X101-178</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">83X102-83X2</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">17X23-23X7</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">35X127-35X16-11X35</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;"><br></span><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题5</font></span></div><br><span style=" font-family: Arial;"><strong>容易出错类型(共五种类型) </strong></span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> 600-60÷15 20X4÷20X4</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">736-35X20 25X4÷25X4</span><span style=" font-family: Arial;"><br></span><span style=" font-family: Arial;"> </span><span style=" font-family: 仿宋_GB2312;"></span><br><br><span style=" font-family: Arial;">98-18X5+25 56X8÷56X8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">280-80÷ 4 12X6÷12X6</span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;">175-75÷25 25X8÷25X8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">80-20X2+60 36X9÷36X9</span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;">36-36÷6-6 25X8÷(25X8)</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">100+45-100+45 15X97+3</span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;">100+1-100+1 48X99+1</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">1000+8-1000+8 5+95X28</span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;">102+1-102+1 65+35X13</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">25+75-25+75 40+360÷20-10</span><span style=" font-family: Arial;"><br></span><br><br><span style=" font-family: Arial;">13+24X8</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">672-36+64</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">324-68+32</span><span style=" font-family: 仿宋_GB2312;"> </span><span style=" font-family: Arial;">100-36+64</span><span style=" font-family: Arial;"></span><br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题6</font></span></div><br>26×39+61×26 356×9-56×9 99×55+55 <br><br><br>78×101-78 52×76+47×76+76 134×56-134+45×134 <br><br><br>48×52×2-4×48 25×23×(40+4) 999×999+1999 <br><br><br>184+98 695+202 864-199 738-301 <br><br><br>380+476+120 (569+468)+(432+131) 704×25<br><br><br>256-147-53 373-129+29 189-(89+74) <br><br><br>28×4×25 125×32×25 9×72×125 <br><span style="font-family: 仿宋_GB2312; font-weight: bold;"> </span><br></div>{$setpage}<div><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题7</font></span></div><br>720÷16÷5 630÷42 456-(256-36)<br><br><br>102×35 98×42 158+262+138 375+219+381+225 <br><br><br>5001-247-1021-232 (181+2564)+2719 378+44+114+242+222 <br><br><br>276+228+353+219 (375+1034)+(966+125) (2130+783+270)+1017 <br><br><br>99+999+9999+99999 7755-(2187+755) 2214+638+286 <br><br><br>3065-738-1065 899+344 2357-183-317-357 <br> <br><br>2365-1086-214 497-299 2370+1995 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题8</font></span></div><br>3999+498 1883-398 12×25 75×24 <br><br><br>138×25×4 (13×125)×(3×8) (12+24+80)×50 <br><br><br>25×32×125 32×(25+125) 88×125 102×76 <br><br><br>178×101-178 84×36+64×84 75×99+2×75 <br> <br><br>98×199 123×18-123×3+85×123 50×(34×4)×3 <br><br><br>25×(24+16) 178×99+178 79×42+79+79×57 <br> <br><br>7300÷25÷4 8100÷4÷75 158+262+138<br><br><br><div><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题9</font></span></div><br>1248÷24 3150÷15 4800÷25 21500÷125 <br><br><br>375+219+381+225 5001-247-1021-232 (181+2564)+2719 <br><br><br>378+44+114+242+222 276+228+353+219 (375+1034)+(966+125) <br><br><br>(2130+783+270)+1017 99+999+9999+99999 7755-(2187+755) <br><br><br>2214+638+286 3065-738-1065 899+344 <br><br><br>2357-183-317-357 2365-1086-214 497-299 <br><br><br>2370+1995 3999+498 1883-398 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题10</font></span></div><br>12×25 75×24 138×25×4 (13×125)×(3×8) <br><br>(12+24+80)×50 704×25 25×32×125 32×(25+125) <br><br><br>88×125 102×76 58×98 178×101-178 <br> <br><br>84×36+64×84 75×99+2×75 83×102-83×2 98×199 <br> <br><br>123×18-123×3+85×123 50×(34×4)×3 25×(24+16) <br> <br><br>178×99+178 79×42+79+79×57 21500÷125<br><br><br>7300÷25÷4 8100÷4÷75 16800÷120 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题11</font></span></div><br>(a+b)+ c = a +(b+c) <br>2.73 + 0.89 + 1.27 4.37 + 0.28 + 1.63 + 5.72 <br><br><br>a-b-c = a -(b+c) <br>10 - 0.432 - 2.568 9.3 - 5.26 - 2.74 <br><br><br>14.9-(5.2+4.9) 18.32 - 5.47 - 4.32 <br><br><br>(a × b)×c = a ×(b × c) <br>25 × 6.8 × 0.04 0.25 × 32 × 0.125 6.4 × 1.25 × 12.5 <br><br><br>c ×(a+b)= c×a + c×b <br>0.45 × 201 0.58 × 10.1 50.2 × 99 4.7 × 9.9 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题12</font></span></div><br>3.28 × 5.7 + 6.72 × 5.7 2.1 × 99 + 2.1 <br><br><br>23 × 0.1 + 2.3 × 9.9 0.18 +4.26 -0.18 +4.26 <br><br><br>0.58 ×1.3 ÷ 0.58 ×1.3 7.3 ÷4 + 2.7 × 0.25 <br><br><br>3.75 × 0.5 - 2.75 ÷ 2 5.26 × 0.125 + 2.74 ÷ 8 <br><br><br>a ÷ b ÷ c = a ÷ (b × c)<br><br> 6.3 ÷ 1.8 9.5 ÷(1.9 × 8) 12.8 ÷ (0.4 × 1.6) <br><br><br>930 ÷ 0.6 ÷5 63.4 ÷ 2.5 ÷ 0.4 (7.7 + 1.54)÷ 0.7 <br><br><br><div style="text-align: center;"><span style="font-family: 仿宋_GB2312; font-weight: bold;"><font color="#ff0000">简便计算练习题13</font></span></div><br>6.9+4.8+3.1 15.89+(6.75-5.89) 7.85+2.34-0.85+4.66 <span style=" text-decoration:underline ; "></span><br><br><br>35.6-1.8-15.6-7.2 13.75-(3.75+6.48) 47.8-7.45+2.55 <br><br><br>66.86-8.66-1.34 0.25×16.2×4 0.25×32 ×0.125 <br><br><br>2 .5 ×(4 +0.4) (1.25-0.125)×8 4.8×100.1<br><br><br>4.2×99 56.5×9.9+56.5 7.09×10.8-0.8×7.09<br><br><br>3.83×4.56+3.83×5.44 3.65×4.7-36.5×0.37 5.4×11-5.4<br><br><br>13.7×0.25-3.7÷4 10.7×16.1-1.1×10.7 +10.7 ×5 <br></div></div>
四年级下