六年级简便计算50道

发布网友 发布时间:2022-04-20 13:54

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热心网友 时间:2023-07-10 15:12

小学六年级数学总复习资料(六) 【简便计算】
班级: 姓名:
一、口算下面各题。(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、写出下列每题在简便运算时所运用的定律或性质(12分)
4 +3.2+5 +6.8 25×(8×0.4)×1.25 7 -(2 - )
( ) ( ) ( )
( + + )×72 93.5÷3 16÷2.5
( ) ( ) ( )
三、用简便方法计算。(65分)
1125-997 998+1246+99 (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×

.2×87+0.2×1300 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(从3-2002共2000个数,所以有1000个2)+2+1
=1000×2+2+1
=2003

4,5两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

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

仔细看一下,不会很难,都可以简便算的。你自己看一下,有些题目化成分数会好算些,我不是六年级的,不知道你们学的和我们是否一样,只能找一些,抱歉,请原谅。

热心网友 时间:2023-07-10 15:12

1.3/7 × 49/9 - 4/3
2.8/9 × 15/36 + 1/27
3.12× 5/6 – 2/9 ×3
4.8× 5/4 + 1/4
5.6÷ 3/8 – 3/8 ÷6
6.4/7 × 5/9 + 3/7 × 5/9
7.5/2 -( 3/2 + 4/5 )
8.7/8 + ( 1/8 + 1/9 )
9.9 × 5/6 + 5/6
10.3/4 × 8/9 - 1/3
11.7 × 5/49 + 3/14
12.6 ×( 1/2 + 2/3 )
13.8 × 4/5 + 8 × 11/5
14.31 × 5/6 – 5/6
15.9/7 - ( 2/7 – 10/21 )
16.5/9 × 18 – 14 × 2/7
17.4/5 × 25/16 + 2/3 × 3/4
18.14 × 8/7 – 5/6 × 12/15
19.17/32 – 3/4 × 9/24
20.3 × 2/9 + 1/3
21.5/7 × 3/25 + 3/7
22.3/14 ×× 2/3 + 1/6
23.1/5 × 2/3 + 5/6
24.9/22 + 1/11 ÷ 1/2
25.5/3 × 11/5 + 4/3
26.45 × 2/3 + 1/3 × 15
27.7/19 + 12/19 × 5/6
28.1/4 + 3/4 ÷ 2/3
29.8/7 × 21/16 + 1/2
30.101 × 1/5 – 1/5 × 21
31.50+160÷40 (58+370)÷(-45)
32.120-144÷18+35
33.347+45×2-4160÷52
34(58+37)÷(-9×5)
35.95÷(-45)
36.178-145÷5×6+42 420+580-×21÷28
37.812-700÷(9+31×11) (136+)×(65-345÷23)
38.85+14×(14+208÷26)
39.(284+16)×(512-8208÷18)
40.120-36×4÷18+35
41.(58+37)÷(-9×5)
42.(6.8-6.8×0.55)÷8.5
43.0.12× 4.8÷0.12×4.8
44.(3.2×1.5+2.5)÷1.6 (2)3.2×(1.5+2.5)÷1.6
45.6-1.6÷4= 5.38+7.85-5.37=
46.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
47.6.5×(4.8-1.2×4)= 0.68×1.9+0.32×1.9
48.10.15-10.75×0.4-5.7
49.5.8×(3.87-0.13)+4.2×3.74
50.32.52-(6+9.728÷3.2)×2.5
51.[(7.1-5.6)×0.9-1.15] ÷2.5
52.5.4÷[2.6×(3.7-2.9)+0.62]
53.12×6÷(12-7.2)-6 (4)12×6÷7.2-6

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