你能用簡便方法進行計算嗎?

2021-04-30 04:24:34 字數 3225 閱讀 5704

1樓:匿名使用者

lz,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

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 15254希望對你有幫助!

2樓:我不是他舅

=(1.3×8)÷(1.25×8)

=11.2÷10

=1.12

3樓:冀璇子

化成分數的形式,在進行計算

5分之3÷(2/5)+3分之1的和除以25分之11的商等於用簡便方法計算

4樓:妙酒

(3/5÷2/5+1/3)÷11/25

=(3/2+1/3)÷11/25

=11/6÷11/25

=25/6

5樓:見肉沒命

(3/5÷

2/5+1/3)÷版11/25=(權3/5x5/2+1/3)÷11/25=(3/2+1/3)÷11/25

=(3x3/2x3+1x2/3x2)÷11/25=(9/6+2/6)÷11/25=11/6÷11/25

=11/6x25/11=25/6

簡便方法計算。 (1/4-0.1÷2)*5/13+1÷1又1/12 25*1/3*2/5*3/10

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