小学数学六年级数学题,简便运算

如题所述

第1个回答  2013-10-13
1.(1/69+2/71)*23+25除以71
2.(1+1/2)*(1-1/2)*1+1/3)*(1-1/3)*........*(1+1/9)*(1-1/9)
3.1/2*3+1/3*4+.......+1/19乘20
4.1/27+505/2727+131313/272727
5.100-98+96-94+....+4-2
1.(1/69+2/71)乘23+25除以71
=1/69*23+2/71*23+25/71
=1/3+(46/71+25/71)
=1/3+1
=4/3
2.(1+1/2)乘(1-1/2)乘(1+1/3)乘(1-1/3)乘........乘(1+1/9)乘(1-1/9)
=3/2*1/2*4/3*2/3...*10/9*8/9
=1/2*10/9
=5/9
3.1/2乘3+1/3乘4+.......+1/19乘20
=1/2-1/3+1/3-1/4+...+1/19-1/20
=1/2-1/20
=9/20
4.1/27+505/2727+131313/272727
=1/27+5*101/(27*101)+13*10101/(27*10101)
=1/27+5/27+13/27
=19/27
5.100-98+96-94+....+4-2
=(100-98)+(96-94)+...(4-2)
=2+2+...+2(共有25个)
=2*25
=50
10-2.65=
0.9×0.08=
528-349=
6+14.4=
24÷0.04=
12.34-2.3=
0÷3.8=
0.77+0.33=
7÷1.4=
67.5+0.25=
7.2÷8×4=
5-1.4-1.6=
400÷125÷8=
1.9×4×0.5=
80×0.125=
2×5-6+2=
3.2×7÷3.2×7=
4 +3.2+5 +6.8 25×(8×0.4)×1.25 7
1125-997 998+1246+9989 (8700+870+87)÷87
125×8.8 1.3+4.25+3.7+3.75 17.15-(3.5-2.85)
3.4×99+3.4 4.8×1.01 0.4×(2.5÷73)
(1.6+1.6+1.6+1.6)×25
12.3-2.45-5.7-4.55 2 + 0.125×0.25×64
64.2×87+0.642×1300 78×36+7.8×741-7
0.125× +0.5 2.42 +4.58 -43×0
25÷100 4.25-3 -(2 -1 )
1.25*17.6+36.1/0.8+2.36*12.5
=(5/4)*17.6+36.1*(5/4)+23.6*(50/4)
=176/8+361/8+236/8
=773/8=96.625
7.5*2.3+1.9*2.5
=7.5*(1.9+0.4)+1.9*2.5
=(7.5+2.5)*1.9+7.5*0.4
=19+3 =22
2004/2003*2005
=(2004/2003)*(2003+2)
=2004+4008/2003
276*543-267/276+543*275
=543*(276+275)-267/276
=543*551-267/276
17/51+ (68/1+51/2)*17
五十二又二十五分之十一×79.45+159×47.56+七十九又二十分之十一×52.44
=52.44×79.45+159×47.56+79.55×52.44
=52.44×(79.45+79.55)+159×47.56
=52.44×159+159×47.56
=159×(52.44+47.56)
=159×100
=15900
2002+2001-2000-1999+1998+1997-1996-1995+……+2+1
=(2002-2000)+(2001-1999)+(1998-1996)+(1997-1995)+……+(6-4)+(5-3)+2+1
=2+2+2+2+……+2+2(从3-2002共2000个数,所以有1000个2)+2+1
=1000×2+2+1
=2003
5两题均用到一个转换式1/(A×B)=1/(B-A)×(1/A-1/B)
如1/15=1/(3×5)=1/(5-3)×(1/3-1/5)=1/2×(2/15)=1/15可验证一下
(1×2分之一)+(2×3分之一)+(3×4分之一)+……+(10×11分之一)
=1/(1×2)+1/(2×3)+1/(3×4)+……+1/(10×11)
=(1-1/2)+(1/2 - 1/3)+(1/3 - 1/4)+……+(1/10 - 1/11)
=1-1/11
=10/11
三分之一+十五分之一+三十五分之一+六十三分之一+九十九分之一
=1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)
=1/2×(1-1/3)+1/2×(1/3-1/5)+1/2×(1/5-1/7)+1/2×(1/7-1/9)+1/2×(1/9-1/11)
=1/2×(1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11)
=1/2×(1-1/11)
=1/2×10/11
=5/11
一又二分之一-六分之五+十二分之七-二十分之九+三十分之十一-四十二分之十三+五十六分之
(根据提示,1又1/2=1+1/2,+1/2+1/3=5/6……)
=(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)
=1+ 1/2 - 1/2 - 1/3 + 1/3 + 1/4 - 1/4 - 1/5 + 1/5 + 1/6 - 1/6 - 1/7 + 1/7 + 1/8
=1+1/8
=9/8
1.7+150 +3.98 17.625-(4.4+58 ) 3.35×6.47×2+6.7×3.6
125×(8+0.8+0.08) 910 ×(56 -49 ÷45 )
2.8×0.4+10.2÷3.4 35 ÷〔78 -(25 +38 )〕 18.7-3.375-6.625
(9+92+93)×0.01 13.5×[1.5×(1.07+1.93)]
第2个回答  2013-10-13
5.4÷1.8+240×1.5
9000÷72×(1.25×0.7×8)
61-(1.25+2.5×0.7)
[(10-0.8)+9.85]-2÷0.125
3^2*3.25678
3^3-5
12+5268.32-2569
123+456-52*8
789+456-78
181+2564)+2719
378+44+114+242+222
276+228+353+219
(375+1034)+(966+125)
(2130+783+270)+1017
99+999+9999+99999
7755-(2187+755)
2214+638+286
3065-738-1065
138×25×4
(13×125)×(3×8)
(12+24+80)×5025×32×125
32×(25+125)
178×101-178
84×36+64×84
75×99+2×75
83×102-83×2
123×18-123×3+85×123
50×(34×4)×3
25×(24+16)
178×99+178
79×42+79+79×57
7300÷25÷4
8100÷4÷75
158+262+138
375+219+381+225
5001-247-1021-232
(181+2564)+2719
378+44+114+242+222
276+228+353+219
(375+1034)+(966+125)
(2130+783+270)+1017
99+999+9999+99999
7755-(2187+755)
2214+638+286
3065-738-1065
2357-183-317-357
2365-1086-214
138×25×4
(13×125)×(3×8)
(12+24+80)×50
25×32×125
32×(25+125)
178×101-178
84×36+64×84
75×99+2×75
83×102-83×2
123×18-123×3+85×123
50×(34×4)×3
25×(24+16)
178×99+178
79×42+79+79×57
7300÷25÷4
8100÷4÷75
2356-(1356-721)
1235-(1780-1665)
75×27+19×2 5
31×870+13×310
4×(25×65+25×28)
2.73 + 0.89 + 1.27
4.37 + 0.28 + 1.63 + 5.72
10 - 0.432 - 2.568
9.3 - 5.26 - 2.74
13.4-(3.4+5.2)
14.9-(5.2+4.9)
18.32 - 5.47 - 4.32
17.29 - 5.28 - 6.29
25 × 6.8 × 0.04
0.25 × 32 × 0.125
6.4 × 1.25 × 12.5
3.28 × 5.7 + 6.72 × 5.7
2.1 × 99 + 2.1
1.7 × 9.9 + 0.17
23 × 0.1 + 2.3 × 9.9
0.18 +4.26 -0.18 +4.26
0.58 ×1.3 ÷ 0.58 ×1.3
7.3 ÷4 + 2.7 × 0.25
3.75 × 0.5 - 2.75 ÷ 2
5.26 × 0.125 + 2.74 ÷ 8
9.5 ÷(1.9 × 8)
12.8 ÷ (0.4 × 1.6)
930 ÷ 0.6 ÷5
63.4 ÷ 2.5 ÷ 0.4
(7.7 + 1.54)÷ 0.7
(11.7 + 9.9)÷ 0.9
6.9+4.8+3.1
15.89+(6.75-5.89)
7.85+2.34-0.85+4.66
35.6-1.8-15.6-7.2
13.75-(3.75+6.48)
47.8-7.45+2.55
66.86-8.66-1.34
0.25×16.2×4
0. 25×32 ×0.125
2 .5 ×(4 +0.4)
(1.25-0.125)×8
56.5×9.9+56.5
5.4×11-5.4
3.83×4.56+3.83×5.44
7.09×10.8-0.8×7.09
3.65×4.7-36.5×0.37
13.7×0.25-3.7÷4
10.7×16.1-1.1×10.7 +10.7 ×5
3.9÷(1.3×5)
63.4÷2.5÷0.4
(7.7+1.4)÷0.7
18 ÷ (2+9)