求小學六年級簡便計算

2021-09-01 00:09:01 字數 7870 閱讀 8518

1樓:匿名使用者

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個)

=2*25

=5010-2.65=

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(從3-2002共2000個數,所以有1000個2)+2+1

=1000×2+2+1

=2003

5兩題均用到一個轉換式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可驗證一下

(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

(根據提示,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)]

2樓:非非元

1+1=2 2+2=4 3+3=6 4+4=8 5+5=10

3樓:麼珉樊合

你上面的算式有點問題,應該是下面這樣

=1+(2+1/6)+(3+1/12)+(4+1/20)+(5+1/30)+(6+1/42)+(7+1/56)+(8+1/72)+(9+1/90)

=45+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90

=45+1/2-1/10

=45+2/5

4樓:倫紹闞綺美

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(中間的都約去了)

=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個)

=2*25=50

5樓:

1.(1/69+2/71)乘23+25除以71

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)

3.1/2乘3+1/3乘4+.......+1/19乘20

4.1/27+505/2727+131313/272727

5.100-98+96-94+....+4-2

小學六年級簡便計算

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(中間的都約去了)

=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個)

=2*25

=50小學六年級數學總複習資料(六) 【簡便計算】

班級: 姓名:

一、口算下面各題。(23分)

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= 3× = 6 6= 2 -( + )= 10 2=

3.2×7÷3.2×7= ( - )×12= 187.7×11-187.7= 1- 62.5%=

二、寫出下列每題在簡便運算時所運用的定律或性質(12分)

4 +3.2+5 +6.8 25×(8×0.4)×1.25 7 -(2 - )

( ) ( ) ( )

( + + )×72 93.5÷3 16÷2.5

( ) ( ) ( )

三、用簡便方法計算。(65分)

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 17+ 8

0.125× +0.5 2.42 +4.58 -43

25÷100 4.25-3 -(2 -1 )

(1)1.25*17.6+36.1/0.8+2.36*12.5

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

(2)7.5*2.3+1.9*2.5

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

(3)2004/2003*2005

2004/2003*2005

=(2004/2003)*(2003+2)

=2004+4008/2003

(4)276*543-267/276+543*275

276*543-267/276+543*275

=543*(276+275)-267/276

=543*551-267/276

(5)17/51+ (68/1+51/2)*17

17/51+ (68/1+51/2)*17

後面的做不下去了,好像有一些沒有簡便方法,不知道你題目有沒有抄錯,你的68/1中的68是分子還是分母呀?應該是分母都對

(6)(3.25-0.8*8/5)/(6又4/1-3.5)

是6又1分之4嗎?應該是6又4分之1吧

1)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

3)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(從3-2002共2000個數,所以有1000個2)+2+1

=1000×2+2+1

=2003

4,5兩題均用到一個轉換式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可驗證一下

4)(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

5)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

6)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+五十六分之十五

(根據提示,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

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