六年級 上冊蘇教版 脫式計算,簡便計算

2021-08-20 07:18:05 字數 7207 閱讀 7973

1樓:老

簡便運算:

① 4×1+4×+ ×4 ② 567+98 ③ 2×12.5××8 ④ 1- -

⑤ 21÷7 ⑥ (+ )×45 ⑦ 0.4×7+0.4×3

計算:① (84×27―2166)÷17 ② 4.6×9+ 9.2×4+ 9 ③ 7- 5÷7×8

④ (1- ×0.4)×+ 0.79 ⑤2.8 + 5+ 7+ 3 ⑥ 6000-1620÷36×24

⑦ 13.92-9.54÷0.045×0.06 ⑧ 12+1÷4- ×2

⑨ [(3-2)×15]÷0.1 7.69×[1÷(3- 3.09)]

小學六年級數學複習【簡便計算】

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

1)0.25×8.6×4

2) 89+456-78

3) 5%+. 3/7 × 49/9 - 4/3

4) 9 × 15/36 + 1/27

5) 2× 5/6 – 2/9 ×3

6) 3× 5/4 + 1/4

7) 94÷ 3/8 – 3/8 ÷6

8) 95/7 × 5/9 + 3/7 × 5/9

9) 6/2 -( 3/2 + 4/5 )

10) 8 + ( 1/8 + 1/9 )

11) 8 × 5/6 + 5/6

12) 1/4 × 8/9 - 1/3

13) 10 × 5/49 + 3/14

14) 1.5 ×( 1/2 + 2/3 )

15) 2/9 × 4/5 + 8 × 11/5

16) 3.1 × 5/6 – 5/6

17) 4/7 - ( 2/7 – 10/21 )

18) 19 × 18 – 14 × 2/7

19) 5 × 25/16 + 2/3 × 3/4

20) 4 × 8/7 – 5/6 × 12/15

21) 7/32 – 3/4 × 9/24

22) 1、 2/3÷1/2-1/4×2/5

2、 2-6/13÷9/26-2/3

3、 2/9+1/2÷4/5+3/8

4、 10÷5/9+1/6×4

5、 1/2×2/5+9/10÷9/20

6、 5/9×3/10+2/7÷2/5

7、 1/2+1/4×4/5-1/8

8、 3/4×5/7×4/3-1/2

9、 23-8/9×1/27÷1/27

10、 8×5/6+2/5÷4

11、 1/2+3/4×5/12×4/5

12、 8/9×3/4-3/8÷3/4

13、 5/8÷5/4+3/23÷9/11

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

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 + /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

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

86.3+456-52*8

87.5%+6325

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