4.6×9.7 5.4×9.7简便计算
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⑴运用加法交换律进行简便计算。 0.88+5.6+0.12 1.78+3.5+0.22 5.6+2.08+14.4 =0.88+0.12+5.6 =1.78+0.22+3.5 =5.6+14.4+2.08 =1+5.6 =2+3.5 =20+2.08 =6.6 =5.5 =22.08 ⑵运用加法结合律进行简便计算 2.3+(0.56+4.7) 28.6+0.54+0.46+1.4 5.82+4.56+5.44 =(2.3+4.7)+0.56 =(28.6+1.4)+(0.54+0.46) =5.82+(4.56+5.44) =7+0.56 =30+1 =5.82+10 =7.56 =31 =15.82 ⑶、运用乘法交换律进行简便计算。 25×0.37×0.4 7.5×0.39×4 6.5×1.1×4 1.25×3.9×0.8 =25×0.4×0.37 =7.5×4×0.39 =6.5×4×1.1 =1.25×0.8×3.9 =10×0.37 =30×0.39 =26×1.1 =1×3.9 =3.7 =11.7 =28.6 =3.9 ⑷、运用乘法结合律进行简便计算。 1.9×7.5×8 6.2×0.8×2.5 4.3×1.5×6 4.1×3.5×2 =1.9×(7.5×8) =6.2×(0.8×2.5) =4.3×(1.5×6) =4.1×(3.5×2) =1.9×60 =6.2×2 =4.3×9 =4.1×7 =114 =12.4 =38.7 =28.7 ⑸、运用乘法分配律的加法进行简算。 13.6×4.6+4.6×6.4 0.72×23+77×0.72 2.6×32+32×2.4 =(13.6+6.4)×4.6 =(23+77)×0.72 =(2.6+2.4) ×32 =20×6.4 =100×0.72 =5×32 =128 =72 =160 ⑹、运用乘法分配律的减法进行简算。 12×5.9-5.9×2 4.6×2.5-2.5×0.6 101×9.7-9.7 =(12-2) ×5.9 =(4.6-0.6)×2.5 =(101-1)×9.7 =(12-2) ×5.9 =(4.6-0.6)×2.5 =(101-1)×9.7 =10×5.9 =4×2.5 =100×9.7 =59 =10 =970 ⑺、运用减法的运算规律进行简便计算。 1.8-0.45-0.55 54.4-4.6-5.4 35.6-0.13-0.47 =1.8-(0.45+0.55) =54.4-(4.6+5.4) =35.6-(0.13+0.47) =1.8-1 =54.4-10 =35.6-0.6 =0.8 =44.4 =35 ⑻、运用除法的运算规律进行简便计算。 4.5÷4÷7.5 14.8÷1.25÷8 18.5÷4÷1.25 5.4÷4÷0.45 =4.5÷(4×7.5) =14.8÷(1.25×8) =18.5÷(4×1.25) =5.4÷(4×0.45) =4.5÷30 =14.8÷10 =18.5÷5 =5.4÷0.18 =0.15 =1.48 =3.7 =30⑼综合运用各种运算定律进行简算。 2.54+2.46+0.44+0.54 10.7×0.4-6.7×0.4 0.5×3.2×1.25 =(2.54+2.46)+(0.44+0.54) =(10.7-6.7)×0.4 =(0.5×4)×(0.8×1.25) =5+1 =4×0.4 =2×1 =6 =1.6 =2 89.7+5.8-9.7+4.2 99×0.38+0.38 360÷(18×0.4) =(89.7-9.7)+(5.8+4.2) =(99+1) ×0.38 =360÷18÷0.4 =80+10 =100×0.38 =20÷0. 4 =90 =38 =50 4.8×12.5 2.5×1.6×12.5 3.2×102 =0.6×(8×12.5) =(2.5×0.2)×(8×12.5) =3.2×(100+2) =0.6×100 =0.5×100 =3.2×100+3.2×2 =60 =50 =320+6.4 =326.4
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