文档内容
五上数学简便计算专项练习
一、归类练习:
3.29+0.73+2.27 3.29-0.73-2.27 7.5+2.5-7.5+2.5
7.325-3.29-3.325 7.325-(5.325+1.7) 7.325-(5.325-1.7)
3.29+0.73-2.29+2.27 3.29×0.25×4 0.125×8.8
0.25×0.28 0.125×3.2×2.5 35×10.20.25×4÷0.25×4 3.5×9.9 3.5×99+3.5
3.5×101-3.5 3.5×9.9+3.5×0.1 3.5×2.7+35×0.73
3.5×2.7-3.5×0.7 ★(32+5.6)÷0.8 ★3.5÷0.6-0.5÷0.6
4.9÷1.4 7÷0.25÷4 7.35÷(7.35×0.25)二、混合练习:
3.07-0.38-1.62 1.29+3.7+2.71+6.3 8-2.45-1.55
3.25+1.79-0.59+1.75 23.4-0.8-13.4-7.2 0.32×403
3.2+0.36+4.8+1.64 1.23+3.4-0.23+6.6 0.25×36
12.7-(3.7+0.84) 36.54-1.76-4.54 0.25×0.73×47.6×0.8+0.2×7.6 0.85×199 0.25×8.5×4
1.28×8.6+0.72×8.6 12.5×0.96×0.8 10.4-9.6×0.35
0.8× (4.3×1.25) 3.12+3.12×99 28.6×101-28.6
(4.23+6.17) ×0.8 0.86×15.7-0.86×14.7 2.4×10214-7.32-2.68 2.64+8.67+7.36+11.33 2.31×1.2×0.5
(2.5-0.25) ×0.4 9.16×1.5-0.5×9.16 3.6-3.6×0.5
4.5÷1.8 930÷0.6÷5 63.4÷2.5÷0.4
4.25÷2.5×9.9+0.1 15÷(0.15×0.4) 2.7÷45五上数学简便计算专项练习
一、归类练习:
3.29+0.73+2.27 3.29-0.73-2.27 7.5+2.5-7.5+2.5
=3.29+(0.73+2.27) =3.29-(0.73+2.27) =(7.5-7.5)+(2.5+2.5)
=3.29+3 =3.29-3 =0+5
=6.29 =0.29 =5
(加法结合律) (减法的性质) (同级运算交换)
7.325-3.29-3.325 7.325-(5.325+1.7) 7.325-(5.325-1.7)
=7.325-3.325-3.29 =7.325-5.325-1.7 =7.325-5.325+1.7
=4-3.29 =2-1.7 =2+1.7
=0.71 =0.3 =3.7
(减法交换) (减法的性质) (前面减号,脱括号变符号)
3.29+0.73-2.29+2.27 3.29×0.25×4 0.125×8.8
=(3.29-2.29)+(0.73+2.27) =3.29×(0.25×4) =0.125×8×1.1
=1+3 =3.29×1 =1×1.1
=4 =3.29 =1.1
(同级运算交换) (乘法结合律) (先拆数,乘法结合律)
0.25×0.28 0.125×3.2×2.5 35×10.2
=0.25×4×0.07 =(0.125×8)×(0.4×2.5) =35×(10+0.2)
=1×0.07 =1×1 =35×10+35×0.2
=0.07 =1 =350+7=357
(先拆数,乘法结合律) (拆数,乘法结合律) (拆数,乘法分配律)0.25×4÷0.25×4 3.5×9.9 3.5×99+3.5
=(0.25÷0.25)×(4×4) =3.5×(10-0.1) =3.5×(99+1)
=1×16 =3.5×10-3.5×0.1 =3.5×100
=16 =35-0.35=34.65 =350
(同级运算交换) (拆数,乘法分配律) (乘法分配律)
3.5×101-3.5 3.5×9.9+3.5×0.1 3.5×2.7+35×0.73
=3.5×(101-1) =3.5×(9.9+0.1) =3.5×2.7+3.5×7.3
=3.5×100 =3.5×10 =3.5×(2.7+7.3)
=350 =35 =3.5×10=35
(乘法分配律) (乘法分配律) (先利用积不变的规律转化,
然后再用乘法分配律)
3.5×2.7-3.5×0.7 ★(32+5.6)÷0.8 ★3.5÷0.6-0.5÷0.6
=3.5×(2.7-0.7) =32÷0.8+5.6÷0.8 =(3.5-0.5)÷0.6
=3.5×2 =40+7 =3÷0.6
=7 =47 =5
(乘法分配律) (后2题类似分配律,但只适用于(a+b)÷c和
(a-b)÷c,而a÷(b+c)和a÷(b-c)不能用。)
4.9÷1.4 7÷0.25÷4 7.35÷(7.35×0.25)
=4.9÷(7×0.2) =7÷ (0.25×4) =1÷0.25
=4.9÷7÷0.2 =7÷1 =7.35÷7.35÷0.25
=0.7÷0.2 =7 =4
=3.5 (除法的性质) (除法的性质)
(拆数,除法的性质)二、混合练习:
3.07-0.38-1.62 1.29+3.7+2.71+6.3 8-2.45-1.55
=3.07-(0.38+1.62) =(1.29+2.71)+(3.7+6.3) =8-(2.45+1.55)
=3.07-2 =4+10 =8-4
=1.07 =14 =4
(减法的性质) (加法交换律和加法结合律) (减法的性质)
3.25+1.79-0.59+1.75 23.4-0.8-13.4-7.2 0.32×403
=(3.25+1.75)+(1.79-0.59) =(23.4-13.4)-0.8-7.2 =0.32×(400+3)
=5+1.2 =10-(0.8+7.2) =0.32×400+0.32×3
=6.2 =10-8=2 =128+0.96
(同级运算交换) (减法交换和减法的性质) =128.96
(拆数,乘法分配律)
3.2+0.36+4.8+1.64 1.23+3.4-0.23+6.6 0.25×36
=(3.2+4.8)+(0.36+1.64) =(1.23-0.23)+(3.4+6.6) =0.25×4×9
=8+2 =1+10 =1×9
=10 =11 =9
(加法交换律和加法结合律) (同级运算交换) (拆数,乘法结合律)
12.7-(3.7+0.84) 36.54-1.76-4.54 0.25×0.73×4
=12.7-3.7-0.84 =36.54-4.54 -1.76 =0.25×4×0.73
=9-0.84 =32-1.76 =1×0.73
=8.14 =30.24 =0.73
(减法的性质) (减法交换) (乘法交换律和乘法结合律)7.6×0.8+0.2×7.6 0.85×199 0.25×8.5×4
=7.6×(0.8+0.2) =0.85×(200-1) =0.25×4×8.5
=7.6×1 =0.85×200-0.85×1 =1×8.5
=7.6 =170-0.85 =169.15 =8.5
(乘法分配律) (拆数,乘法分配律) (乘法交换律和乘法分配律)
1.28×8.6+0.72×8.6 12.5×0.96×0.8 10.4-9.6×0.35
=(1.28+0.72)×8.6 =12.5×0.8×0.96 =10.4-3.36
=2×8.6 =10×0.96 =7.04
=17.2 =9.6 (无简算)
(乘法分配律) (乘法交换律和乘法结合律)
0.8× (4.3×1.25) 3.12+3.12×99 28.6×101-28.6
=0.8×1.25×4.3 =3.12× (1+99) =28.6× (101-1)
=1×1.25 =3.12×100 =28.6×100
=1.25 =312 =2860
(乘法交换律和乘法结合律) (乘法分配律) (乘法分配律)
(4.23+6.17) ×0.8 0.86×15.7-0.86×14.7 2.4×102
=10.4×0.8 =0.86× (15.7-14.7) =2.4× (100+2)
=8.32 =0.86×1 =2.4×100+2.4×2
(无简算) =0.86 =240+4.8
(乘法分配律) =244.8
(拆数,乘法分配律)14-7.32-2.68 2.64+8.67+7.36+11.33 2.31×1.2×0.5
=14-(7.32+2.68) =(2.64+7.36)+(8.67+11.33) =2.31×(1.2×0.5)
=14-10 =10+20 =2.31×0.6
=4 =30 =1.386
(减法的性质) (加法交换律和加法结合律) (乘法结合律)
(2.5-0.25) ×0.4 9.16×1.5-0.5×9.16 3.6-3.6×0.5
=2.5×0.4-0.25×0.4 =9.16× (1.5-0.5) =3.6×(1-0.5)
=1-0.1 =9.16×1 =3.6×0.5(可转化成3.6÷2)
=0.9 =9.16 =1.8
(乘法分配律) (乘法分配律) (乘法分配律)
4.5÷1.8 930÷0.6÷5 63.4÷2.5÷0.4
=4.5÷(9×0.2) =930÷ (0.6×5) =63.4÷ (2.5×0.4)
=4.5÷9÷0.2 =930÷3 =63.4÷1
=0.5÷0.2 =310 =63.4
=2.5 (除法的性质) (除法的性质)
(拆数,除法的性质)
4.25÷2.5×9.9+0.1 15÷(0.15×0.4) 2.7÷45
=1.7×9.9+1.7×0.1 =15÷0.15÷0.4 =2.7÷ (9×5)
=1.7× (9.9+0.1) =100÷0.4 =2.7÷9÷5
=1.7×10 =250 =0.3÷5
=17 (除法的性质) =0.06
(前半部分死算,后半部分利 (拆数,除法的性质)
用积不变的规律转化,最后用乘法分配律)