小数乘法简便运算 （专项训练）-2026-2027学年五年级上册数学人教版

**基本信息** 九类运算律系统训练，从基础凑整到构造公因数递进，强化运算能力与推理意识 **专项设计** |模块|题量/典例|方法提炼|知识逻辑| |----|-----------|----------|----------| |乘法交换律|8题|基础凑整|单一运算律应用| |乘法结合律|8题|连乘凑整|运算律递进| |交换律+结合律|6题|多因数综合凑整|运算律综合运用| |分配律（顺展型）|9题|括号展开|分配律正向应用| |分配律（逆用型）|9题|提取公因数|分配律逆向思维| |分配律（添1型）|8题|补全公因数|分配律拓展| |拆分因数（和/差型）|8题|适配分配律|因数变形技巧| |拆分因数（乘积型）|8题|适配结合律|因数拆分策略| |分配律（构造公因数）|9题|积不变性质|高阶运算律应用|

小数乘法简便运算 专项练习 一、乘法交换律（基础凑整） 2.5×0.8×4 12.5×0.36×0.8 0.25×7.6×4 12.5×5.9×0.8 2.5×0.27×4 0.25×10.3×4 12.5×0.64×0.8 2.5×4.9×4 二、乘法结合律（连乘凑整） 52×0.5×2 18.9×4×0.25 6.73×12.5×8 88×0.25×4 9.46×2×0.5 7.81×12.5×8 45×0.5×2 13.2×4×0.25 三、乘法交换律+结合律（多因数综合凑整） 12.5×0.8×2.5×0.4 0.25×1.5×2×0.4 0.125×3.6×8×2.5 12.5×2.2×0.8×0.5 0.25×0.32×12.5×5 0.45×1.25×2×8 四、乘法分配律（顺展型·括号展开） (3.5−0.35)×0.2 0.5×(20+0.4) 12.5×(8−0.8) (1.25+0.025)×8 0.4×(2.5−0.1) 9×(1.1+0.01) (5−0.5)×0.6 0.125×(80+8) 0.8×(12.5−0.5) 五、乘法分配律（逆用型·提取公因数） 4.28×2.6+5.72×2.6 12.8×3.5−12.8×2.5 7.5×101−7.5×1 0.36×4.8+0.36×5.2 9.9×6.7−3.9×6.7 8.4×0.9+8.4×0.1 5.6×23−5.6×13−5.6×10 0.45×1.7+0.45×8.3 7.2×4.5−2.2×4.5 六、乘法分配律（添1型·补全公因数） 45.5×99+45.5 8.9+8.9×99 101×7.6−7.6 6.3×11−6.3 3.8×99+3.8 9.2×101−9.2 78.9+78.9×9 4.7×1001−4.7 七、拆分因数（和/差型·适配分配律） 6.9×10.1 4.8×0.99 99×0.36 0.78×199 8.2×9.9 102×0.45 0.56×99.9 201×0.88 八、拆分因数（乘积型·适配结合律） 0.88×25 0.125×32 1.25×4.8 0.25×0.44 12.5×0.72 0.25×1.28 1.25×1.6 0.125×9.6 九、乘法分配律（构造公因数·积不变性质） 0.45×20.9+2.09×5.5 1.36×2.7+13.6×0.73 8.6×0.42+0.86×5.8 0.98×34+3.4×0.2 7.5×0.36+0.75×6.4 12.3×4.5+1.23×55 0.56×78+7.8×4.4 9.4×0.28+0.94×7.2 0.67×45.9+4.59×3.3 一、 答案： 2.5×0.8×4 =8 12.5×0.36×0.8 =3.6 0.25×7.6×4 =7.6 12.5×5.9×0.8 =59 2.5×0.27×4 =2.7 0.25×10.3×4 =10.3 12.5×0.64×0.8 =6.4 2.5×4.9×4 =49 二、 52×0.5×2 =52 18.9×4×0.25 =18.9 6.73×12.5×8 =673 88×0.25×4 =88 9.46×2×0.5 =9.46 7.81×12.5×8 =781 45×0.5×2 =45 13.2×4×0.25 =13.2 三、 12.5×0.8×2.5×0.4=10 0.25×1.5×2×0.4=0.3 0.125×3.6×8×2.5=9 12.5×2.2×0.8×0.5=11 0.25×0.32×12.5×5=5 0.45×1.25×2×8=9 四、 (3.5−0.35)×0.2=0.63 0.5×(20+0.4)=10.2 12.5×(8−0.8)=90 (1.25+0.025)×8=10.2 0.4×(2.5−0.1)=0.96 9×(1.1+0.01)=9.09 (5−0.5)×0.6=2.7 0.125×(80+8)=11 0.8×(12.5−0.5)=9.6 五、 4.28×2.6+5.72×2.6=26 12.8×3.5−12.8×2.5=12.8 7.5×101−7.5×1=750 0.36×4.8+0.36×5.2=3.6 9.9×6.7−3.9×6.7=40.2 8.4×0.9+8.4×0.1=8.4 5.6×23−5.6×13−5.6×10=0 0.45×1.7+0.45×8.3=4.5 7.2×4.5−2.2×4.5=22.5 六、 45.5×99+45.5 =4550 8.9+8.9×99 =890 101×7.6−7.6 =760 6.3×11−6.3 =63 3.8×99+3.8 =380 9.2×101−9.2 =920 78.9+78.9×9 =789 4.7×1001−4.7 =4700 七、 6.9×10.1=69.69 4.8×0.99=4.752 99×0.36=35.64 0.78×199=155.22 8.2×9.9=81.18 102×0.45=45.9 0.56×99.9=55.944 201×0.88=176.88 八、 0.88×25=22 0.125×32=4 1.25×4.8=6 0.25×0.44=0.11 12.5×0.72=9 0.25×1.28=0.32 1.25×1.6=2 0.125×9.6=1.2 九、 0.45×20.9+2.09×5.5=20.9 1.36×2.7+13.6×0.73=13.6 8.6×0.42+0.86×5.8=8.6 0.98×34+3.4×0.2=34 7.5×0.36+0.75×6.4=7.5 12.3×4.5+1.23×55=123 0.56×78+7.8×4.4=78 9.4×0.28+0.94×7.2=9.4 0.67×45.9+4.59×3.3=45.9 学科网（北京）股份有限公司 $