适合六年级学生做的分数、小数、百分数、整数的数学简便运算

1个回答

  • 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

    后面的做不下去了,好像有一些没有简便方法,不知道你题目有没有抄错,你的68/1中的68是分子还是分母呀?应该是分母都对

    (6)(3.25-0.8*8/5)/(6又4/1-3.5)

    是6又1分之4吗?应该是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(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

    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)÷(64-45)

    32.120-144÷18+35

    33.347+45×2-4160÷52

    34(58+37)÷(64-9×5)

    35.95÷(64-45)

    36.178-145÷5×6+42 420+580-64×21÷28

    37.812-700÷(9+31×11) (136+64)×(65-345÷23)

    38.85+14×(14+208÷26)

    39.(284+16)×(512-8208÷18)

    40.120-36×4÷18+35

    41.(58+37)÷(64-9×5)

    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