(1)2.5*32*0.125=(2.5*4)*(8*0.125)=10*1=10(2)3.5-7+6.5=3.5+6.5-7=3(3)1.2×2.5+0.8×2.5 =2.5(1.2+0.8)=25(4)8.9×1.25-0.9×1.25 =1.25(8.9-0.9)=10(5)12.5×7.4×0.8 =12.5×0.8×7.4=74(6)6.5×9.5+6.5×0.5 =6.5×(9.5+0.5)=6.5×10=65(7)0.35×1.6+0.35×3.4 =0.35*(1.6+3.4)=0.35*5=1.75(8)6.72-3.28-1.72 =6.75-(3.28+1.72)=6.75-5=1.75(9)0.45+6.37+4.55 =0.45+4.55+6.37=5+6.37=11.37(10)28×12.5-12.5×20=(28-20)*12.5=8*12.5=100(11)23.65-(3.07+3.65) =23.65-3.65-3.07=20-3.07=16.93(12)(4+0.4×0.25)8×7×1.25=(4+1)*7*10=5*7*10=350(13)1.65×99+1.65 =1.65*(99+1)=1.65*100=165(14)27.85-(7.85+3.4) =27.85-7.85+3.4=20+3.4=23.4(15)48×1.25+50×1.25×0.2×8 7.8×9.9+0.78 =7.8*(9.9+0.1)=7.8*10=78(16)4.8×46+4.8×54 =(46+54)*4.8=100*4.8=480(17)673-327-173=673-(327+173)=673-500=173(18)4.44*2.5=1.11*(4*2.5)=1.11*10=11.1(19)3.5÷1.4=(3.5÷0.7)÷(1.4÷0.7)=5÷2=2.5(20)1+2+3+4+5......+99+100=(1+99)+(2+98)+(3+97)+......+(49+51)+50=(100÷2-1)*100+50=4900+50=4950⑴運用加法交換律進行簡便計算。 0.88+5.6+0.12=0.88+0.12+5.6=1+5.6=6.6 1.78+3.5+0.22=1.78+0.22+3.5=2+3.5=5.5 5.6+2.08+14.4 =5.6+14.4+2.08=20+2.08=22.08 ⑵運用加法結合律進行簡便計算 2.3+(0.56+4.7) =(2.3+4.7)+0.56 =7+0.56 =7.5628.6+0.54+0.46+1.4 =(28.6+1.4)+(0.54+0.46) =30+1 =31 5.82+4.56+5.44 =5.82+(4.56+5.44) =5.82+10=15.82 ⑶、運用乘法交換律進行簡便計算。 25×0.37×0.4=25×0.4×0.37=10×0.37=3.7 7.5×0.39×4 =7.5×4×0.39 =30×0.39 =11.7 6.5×1.1×4 =6.5×4×1.1 =26×1.1 =2.861.25×3.9×0.8=1.25×0.8×3.9=1×3.9 =3.9 ⑷、運用乘法結合律進行簡便計算。 1.9×7.5×8=1.9×(7.5×8) =1.9×60=1146.2×0.8×2.5=6.2×(0.8×2.5) =6.2×2 =12.4 4.3×1.5×6=4.3×(1.5×6) =4.3×9 =38.74.1×3.5×2 =4.1×(3.5×2)=4.1×7=28.7⑸、運用乘法分配律的加法進行簡算。 13.6×4.6+4.6×6.4=(13.6+6.4)×4.6=20×4.6 =920.72×23+77×0.72 =(23+77)×0.72=100×0.72 =72 2.6×32+32×2.4 =(2.6+2.4) ×32 =5×32 =160 ⑹、運用乘法分配律的減法進行簡算。 12×5.9-5.9×2=(12-2) ×5.9 =10×5.9=59 4.6×2.5-2.5×0.6 =(4.6-0.6)×2.5=4×2.5 =10101×9.7-9.7 =(101-1)×9.7=100×9.7=970 ⑺、運用減法的運算規律進行簡便計算。 1.8-0.45-0.55=1.8-(0.45+0.55) =1.8-1 =0.8 54.4-4.6-5.4=54.4-(4.6+5.4) =54.4-10=44.4 35.6-0.13-0.47=35.6-(0.13+0.47)=35.6-0.6=35 ⑻、運用除法的運算規律進行簡便計算。 4.5÷4÷7.5=4.5÷(4×7.5)=4.5÷30=0.1514.8÷1.25÷8=14.8÷(1.25×8)=14.8÷10 =1.48 18.5÷4÷1.25=18.5÷(4×1.25)=18.5÷5 =3.7 5 .4÷4÷0.45 =5.4÷(4×0.45) =5.4÷0.18=30 ⑼綜合運用各種運算定律進行簡算。 2.54+2.46+0.44+0.54 =(2.54+2.46)+(0.44+0.54)=5+1 =6 10.7×0.4-6.7×0.4=(10.7-6.7)×0.4=4×0.4 =1.6 0.5×3.2×1.25 =(0.5×4)×(0.8×1.25) =2×1 =2
(1)2.5*32*0.125=(2.5*4)*(8*0.125)=10*1=10(2)3.5-7+6.5=3.5+6.5-7=3(3)1.2×2.5+0.8×2.5 =2.5(1.2+0.8)=25(4)8.9×1.25-0.9×1.25 =1.25(8.9-0.9)=10(5)12.5×7.4×0.8 =12.5×0.8×7.4=74(6)6.5×9.5+6.5×0.5 =6.5×(9.5+0.5)=6.5×10=65(7)0.35×1.6+0.35×3.4 =0.35*(1.6+3.4)=0.35*5=1.75(8)6.72-3.28-1.72 =6.75-(3.28+1.72)=6.75-5=1.75(9)0.45+6.37+4.55 =0.45+4.55+6.37=5+6.37=11.37(10)28×12.5-12.5×20=(28-20)*12.5=8*12.5=100(11)23.65-(3.07+3.65) =23.65-3.65-3.07=20-3.07=16.93(12)(4+0.4×0.25)8×7×1.25=(4+1)*7*10=5*7*10=350(13)1.65×99+1.65 =1.65*(99+1)=1.65*100=165(14)27.85-(7.85+3.4) =27.85-7.85+3.4=20+3.4=23.4(15)48×1.25+50×1.25×0.2×8 7.8×9.9+0.78 =7.8*(9.9+0.1)=7.8*10=78(16)4.8×46+4.8×54 =(46+54)*4.8=100*4.8=480(17)673-327-173=673-(327+173)=673-500=173(18)4.44*2.5=1.11*(4*2.5)=1.11*10=11.1(19)3.5÷1.4=(3.5÷0.7)÷(1.4÷0.7)=5÷2=2.5(20)1+2+3+4+5......+99+100=(1+99)+(2+98)+(3+97)+......+(49+51)+50=(100÷2-1)*100+50=4900+50=4950⑴運用加法交換律進行簡便計算。 0.88+5.6+0.12=0.88+0.12+5.6=1+5.6=6.6 1.78+3.5+0.22=1.78+0.22+3.5=2+3.5=5.5 5.6+2.08+14.4 =5.6+14.4+2.08=20+2.08=22.08 ⑵運用加法結合律進行簡便計算 2.3+(0.56+4.7) =(2.3+4.7)+0.56 =7+0.56 =7.5628.6+0.54+0.46+1.4 =(28.6+1.4)+(0.54+0.46) =30+1 =31 5.82+4.56+5.44 =5.82+(4.56+5.44) =5.82+10=15.82 ⑶、運用乘法交換律進行簡便計算。 25×0.37×0.4=25×0.4×0.37=10×0.37=3.7 7.5×0.39×4 =7.5×4×0.39 =30×0.39 =11.7 6.5×1.1×4 =6.5×4×1.1 =26×1.1 =2.861.25×3.9×0.8=1.25×0.8×3.9=1×3.9 =3.9 ⑷、運用乘法結合律進行簡便計算。 1.9×7.5×8=1.9×(7.5×8) =1.9×60=1146.2×0.8×2.5=6.2×(0.8×2.5) =6.2×2 =12.4 4.3×1.5×6=4.3×(1.5×6) =4.3×9 =38.74.1×3.5×2 =4.1×(3.5×2)=4.1×7=28.7⑸、運用乘法分配律的加法進行簡算。 13.6×4.6+4.6×6.4=(13.6+6.4)×4.6=20×4.6 =920.72×23+77×0.72 =(23+77)×0.72=100×0.72 =72 2.6×32+32×2.4 =(2.6+2.4) ×32 =5×32 =160 ⑹、運用乘法分配律的減法進行簡算。 12×5.9-5.9×2=(12-2) ×5.9 =10×5.9=59 4.6×2.5-2.5×0.6 =(4.6-0.6)×2.5=4×2.5 =10101×9.7-9.7 =(101-1)×9.7=100×9.7=970 ⑺、運用減法的運算規律進行簡便計算。 1.8-0.45-0.55=1.8-(0.45+0.55) =1.8-1 =0.8 54.4-4.6-5.4=54.4-(4.6+5.4) =54.4-10=44.4 35.6-0.13-0.47=35.6-(0.13+0.47)=35.6-0.6=35 ⑻、運用除法的運算規律進行簡便計算。 4.5÷4÷7.5=4.5÷(4×7.5)=4.5÷30=0.1514.8÷1.25÷8=14.8÷(1.25×8)=14.8÷10 =1.48 18.5÷4÷1.25=18.5÷(4×1.25)=18.5÷5 =3.7 5 .4÷4÷0.45 =5.4÷(4×0.45) =5.4÷0.18=30 ⑼綜合運用各種運算定律進行簡算。 2.54+2.46+0.44+0.54 =(2.54+2.46)+(0.44+0.54)=5+1 =6 10.7×0.4-6.7×0.4=(10.7-6.7)×0.4=4×0.4 =1.6 0.5×3.2×1.25 =(0.5×4)×(0.8×1.25) =2×1 =2