六年級簡便運算

2021-08-21 07:52:39 字數 9557 閱讀 5283

1樓:好幾回廣東

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

回答者: jessica107 - 江湖新秀 四級 5-6 09:09

2樓:琊神者

(a+b)+ c = a +(b+c)

1. 2.73 + 0.89 + 1.272. 4.37 + 0.28 + 1.63 + 5.72a-b-c = a -(b+c)

1. 10 - 0.432 - 2.5682. 9.3 - 5.26 - 2.74

3. 13.4-(3.4+5.2)

4. 14.9-(5.2+4.9)

5. 18.32 - 5.47 - 4.

326. 17.29 - 5.28 - 6.

29(a × b)×c = a ×(b × c)1. 25 × 6.8 × 0.04

2. 0.25 × 32 × 0.125

3. 6.4 × 1.25 × 12.5

c ×(a+b)= ca + cb

1. 0.45 × 201

2. 0.58 × 10.1

3. 50.2 × 99

4. 4.7 × 9.9

5. 3.28 × 5.7 + 6.72 × 5.76. 2.1 × 99 + 2.1

7. 1.7 × 9.9 + 0.17

8. 23 × 0.1 + 2.3 × 9.

91. 0.18 +4.26 -0.

18 +4.26 ☆2. 0.58 ×1.

3 ÷ 0.58 ×1.3 ☆3. 7.

3 ÷4 + 2.7 × 0.25 ☆4. 3.

75 × 0.5 - 2.75 ÷ 2 ☆5. 5.

26 × 0.125 + 2.74 ÷ 8 ☆a ÷ b ÷ c = a ÷ (b × c)6. 6.

3 ÷ 1.8

7. 4.2 ÷ 3.5

8. 9.5 ÷(1.9 × 8)

9. 12.8 ÷ (0.4 × 1.6)10. 930 ÷ 0.6 ÷5

11. 63.4 ÷ 2.5 ÷ 0.4

12. (7.7 + 1.54)÷ 0.7 ☆13. (11.7 + 9.9)÷ 0.9 ☆簡便計算(加減法)

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

乘除法:0.25×16.2×4

0. 25×32 ×0.125

2 .5 ×(4 +0.4)

(1.25-0.125)×8

4.8×100.1

4.2×99

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 ×54.9÷1.4

3.9÷(1.3×5)

63.4÷2.5÷0.4

(7.7+1.4)÷0.7

18 ÷ (2+9)

3樓:匿名使用者

158+262+138

2 375+219+381+225

3 5001-247-1021-232

4 (181+2564)+2719

5 378+44+114+242+222

6 276+228+353+219

7 (375+1034)+(966+125)

8 (2130+783+270)+1017

9 99+999+9999+99999

10 7755-(2187+755)

11 2214+638+286

12 3065-738-1065

13 899+344

14 2357-183-317-357

15 2365-1086-214 497-299

16 2370+1995

17 3999+498

18 1883-398

19 12×25

20 75×24

25×4/25×4

57.26-(5.26-1.5)

106.25+3.85-2.125+3.875

11.9-2456×21

5/11-4×2.75

13.375+5.75+2.25+6.625

(15.1-9036)÷18

163.8×5.25+14.5

172.1×4.3+5.7×2.1

19.102×45-328

2.8×3.1+16/8

23÷(50-12.5) ÷2.5

24×2/5×1/3

25.6÷110×47+639

3.5×2.7-52.2/18

28-1/7×1/5

3.375×0.97+0.97×6.625

6.54+2.4+3.46+0.6

95.6×1.8+95.6×8.2

35.6-420/12×4

344/3.6-5.4×0.25

16/2+30/2+90/6

5000-105×34

0.15/0.25+0.75×1.2

41×(1/2+1/3+1/4)×0.24

42×(25+4)×4

3×63/21-84

0.81/0.25+5.96×5

403÷13×27

46.1.5×4.2-0.75÷0.25

3.27×4 +3.27×5.7

(1.2+ 1.8)×4.51025-768÷32

0.25×80-0.45÷0.9

50.1025-768÷32

81.2-11÷7-×3=

6696÷62-6.5×10.6 =

2/7×3/9 ÷2/7 =

6756-193-207=

97×360+3×360=

4/9×3= 5÷1/3 = 1/2÷1/3 = 2/7×3/9 ÷2/7 = 21/25÷42= 4/5×3/4 = 8.7×0.2= 4×0.

25= 1/7×14= 2/3÷5/6= 1.25×8= 3/5÷5/8= 6/7×3/2= 6×8.8= 4/11÷4= 4/9×3/8= 5/3÷5= 0÷8/3= 4/7 -2/3= 2/7×2 = 41/12×4= 4÷3/16= 12÷9/4 = 75/8 ÷5= 12×16/9 = 2/3×3= 8÷9/4 = 5/3÷3/5 = 4/5×5/8 = 7/9×9/7 = 2.

64+3.6= 2.4×50= 3500÷70= 2050-298= 2+7÷9= 0.

3÷3%= 81.2-11÷7-×3= 6696÷62-6.5×10.

6 =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

1.125*3+125*5+25*3+25

2.9999*3+101*11*(101-92)

3.(23/4-3/4)*(3*6+2)

4. 3/7 × 49/9 - 4/3

5. 8/9 × 15/36 + 1/27

6. 12× 5/6 – 2/9 ×3

7. 8× 5/4 + 1/4

8. 6÷ 3/8 – 3/8 ÷6

9. 4/7 × 5/9 + 3/7 × 5/9

10. 5/2 -( 3/2 + 4/5 )

11. 7/8 + ( 1/8 + 1/9 )

12. 9 × 5/6 + 5/6

13. 3/4 × 8/9 - 1/3

14. 7 × 5/49 + 3/14

15. 6 ×( 1/2 + 2/3 )

16. 8 × 4/5 + 8 × 11/5

17. 31 × 5/6 – 5/6

18. 9/7 - ( 2/7 – 10/21 )

19. 5/9 × 18 – 14 × 2/7

20. 4/5 × 25/16 + 2/3 × 3/4

21. 14 × 8/7 – 5/6 × 12/15

22. 17/32 – 3/4 × 9/24

23. 3 × 2/9 + 1/3

24. 5/7 × 3/25 + 3/7

25. 3/14 ×× 2/3 + 1/6

26. 1/5 × 2/3 + 5/6

27. 9/22 + 1/11 ÷ 1/2

28. 5/3 × 11/5 + 4/3

29. 45 × 2/3 + 1/3 × 15

30. 7/19 + 12/19 × 5/6

31. 1/4 + 3/4 ÷ 2/3

32. 8/7 × 21/16 + 1/2

33. 101 × 1/5 – 1/5 × 21

34.50+160÷40

35.120-144÷18+35

36.347+45×2-4160÷52

37(58+37)÷(64-9×5)

38.95÷(64-45)

39.178-145÷5×6+42

40.812-700÷(9+31×11)

41.85+14×(14+208÷26)

43.120-36×4÷18+35

44.(58+37)÷(64-9×5)

45.(6.8-6.8×0.55)÷8.5

46.0.12× 4.8÷0.12×4.8

47.(3.2×1.5+2.5)÷1.6

48.6-1.6÷4= 5.38+7.85-5.37=

49.7.2÷0.8-1.2×5= 6-1.19×3-0.43=

50.6.5×(4.8-1.2×4)=

51.5.8×(3.87-0.13)+4.2×3.74

52.32.52-(6+9.728÷3.2)×2.5

53.[(7.1-5.6)×0.9-1.15] ÷2.5

54.5.4÷[2.6×(3.7-2.9)+0.62]

55.12×6÷(12-7.2)-6

56.12×6÷7.2-6

57.0.68×1.9+0.32×1.9

58.58+370)÷(64-45)

59.420+580-64×21÷28

60.136+6×(65-345÷23)

15-10.75×0.4-5.7

62.18.1+(3-0.299÷0.23)×1

63.(6.8-6.8×0.55)÷8.5

64.0.12× 4.8÷0.12×4.8

65.(3.2×1.5+2.5)÷1.6

66.3.2×6+(1.5+2.5)÷1.6

67.0.68×1.9+0.32×1.9

68.10.15-10.75×0.4-5.7

69.5.8×(3.87-0.13)+4.2×3.74

70.32.52-(6+9.728÷3.2)×2.5

71.[(7.1-5.6)×0.9-1.15] ÷2.5

72.5.4÷[2.6×(3.7-2.9)+0.62]

73.12×6÷(12-7.2)-6

74.12×6÷7.2-6

75.33.02-(148.4-90.85)÷2.5

1) 76.(25%-695%-12%)*36

77./4*3/5+3/4*2/5

78.1-1/4+8/9/7/9

79.+1/6/3/24+2/21

80./15*3/5

81.3/4/9/10-1/6

82./3+1/2)/5/6-1/3]/1/7

83./5+3/5/2+3/4

84.(2-2/3/1/2)]*2/5

85.+5268.32-2569

86.3+456-52*8

87.5%+6325

88./2+1/3+1/4

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