小數(shù)的巧算提取公約數(shù)的詳解

1、小數(shù)的巧算提取公約數(shù)的詳解(1) 5.7 X9.9+0.1 X5.7 = 5.7x(9.9+0.1)= 5.7x10=57(2) 4.6 X99 + 4.6 = 4.6x(99 +1 )= 4.6x100 = 460(3) 7.5 X101 7.5 = 7.5x(101-1)= 7.5x100 = 750(4) 19.94 X2010 19.93 X2011= 19.93X2010 + 0.01 X 2010-19.93X 2010 19.93" = 20.1-19.93 = 0.17(5) 4.65 X32 2.5 X46.5 70 X0.4654.65 咒 32 - 25 咒 4

2、.65 7 咒 4.654.65x(32-25 -7)4.65x0100 X7.9 + 184 X2.1 + 84 X2.9= 100= 100X7.9 +(100 +84 )X2.1 +84X2.9X7.9 +100X2.1 +84X2.1 +84X2.9x(7.9+2.1 ) +84咒(2.1 +2.9 )=100勺 0 + 84X5 = 1000 +420= 100= 1420(7) 6.3 X27+1.9 X212.1X(3x 27 )+1.9咒212.1x81+2.1x192.1x100210(8) 4.7 X2.8+3.6 X9.44.7X2.8 +(3.6x2 )X4.74.7X

3、2.8 +7.2X4.74.7x(2.8 +7.2 )4.7X1047(9) 3.75 X4.8 + 62.5 X0.48= 3.75x4.8 + 6.25x4.8= 4.8x(3.75+6.25)=4.8"0=48(10) 1250 X0.037 + 0.125 X160 + 12.5 X2.7 = 12.5咒 3.7 +12.5 咒 1.6 +12.5% 2.7 =12.5勒3.7+1.6+2.7) =12.5咒8 = 100(11 ) 3.6 X232 36 X13.2 360 =36咒23.2-36天13.2-36咒10 = 36x(23.2-13.2-10) =36咒0=0

4、(12) 3.42 X76.3+7.63 X57.6+9.18 X23.7= 3.42 X 76.3+76.3x5.76 +9.18 咒 23.7 = 76.3x(3.42 +5.76 ) + 9.18x23.7= 76.3x9.18 +9.18x23.7 = 9.18x(76.3 +23.7 )= 9.18x100 = 918(13) 1.23 X2.45-1.22 X2.46=1.23 X 2.45 -1.22 天 2.45 -1.22 x 0.01 = 2.45咒(1.23 -1.22 )-1.22x0.01 = 2.45x0.01 -1.22x0.01 = 0.01x(2.45 -1.

5、22 ) = 0.01x1.23 = 0.0123(14) 1.999 X2003 1.998 X2004 =1.999% 2003 -1.998咒 2003 -1.998 = 2003x(1.999-1.998)-1.998 = 2003x0.001-1.998 = 2.003 1.998 =0.005(15) 1240 X3.4 + 1.24 X2300 + 12.4 X430 = 124x34+124x23 + 124x43 = 124x(34+23+43) = 124X100 =12400(16) 7.816 X1.45 + 3.14 X2.184 + 1.69 X7.816= 7.8

6、16X(1.45 +1.69 ) + 3.14 2.184= 7.816 咒 3.14 +3.14 咒 2.184 = 3.14X(7.816+2.184 ) =3.14勺0 = 31.4(17) 200.9 X20.08 200.8 X20.07 =20.09X 200.8 - 200.8天 20.07 = 200.8x(20.09-20.07)= 200.8x0.02 = 4.016(18) 20.5 X0.15 + 20.5 X0.3 + 0.55 X20.5 = 20.5x(0.15 + 0.3 + 0.55)= 20.5x1 = 20.5(19) 2.89 X4.68+4.68 咒

7、6.11+4.68 = 4.68x(2.89+6.11+1 )= 4.68x10 = 46.8(20) 28.67 X 67+3228.67+573.4 >"0.0528.67 X 67 + 32 X 28.67 + 28.67 x (0.05 咒 20 )28.67 X 67 + 32 X 28.67 + 28.67 咒 167X(67 +32 +1 )28.67X1002867(21 ) 75X4.7+15.9 25 =75咒4.7 +(15.9*3)x(25咒 3) = 75X4.7 +5.3X75 =75咒10 = 750(22) 17.48 咒 37-17.48 咒

8、19+17.48 咒82= 17.48x(37+82-19)= 17.48X100 = 1748(23) 0.888 X125 X73+999 X3= 0.111x(8x125)x73 +999x3 = 0.111x1000x73 +999x3 = 111 X73 +111x27 = 111 x(73+27 ) = 111x100 =11100(24) 17.48 X 37.48 X 19+17.48 82X = 17.48x(37+82-19)= 17.48x100 = 1748(25) 75 X 4.7+15.9 25X75x4.7 +(15.9*3)x(25x3)75x4.7 +5.3x

9、7575x10750(26) 28.67 X 67+32 X 286.7+573.40.05 X28.67 X 67 + 32 X 28.67 + 28.67 咒(0.05 x 20 )28.67 X 67 + 32 X 28.67 + 28.67 x 167x(67 +32 +1 )28.67X1002867(27) 34.5 X8.23-34.5+2.77 X34.5 = 34.5% (8.23 +2.771 ) = 34.5x10(28) 6.25 X0.16+264 X0.0625+5.2 X6.25+0.625 X20= 345(30) 0.0350.035 咒 9000.035X9

10、00+ 0.035x(35 +1 +3 +61 )0.03900+ 0.035X100= 6.25x0.16 + 2.64x6.25 + 5.2x6.25 + 6.25x2 = 6.25x(0.16+2.64+5.2+2)=6.25咒10 =625(29) 11.8 X43-860 X0.09 =(10+1.8)咒 43860x0.09=10咒 43 +1.8X 43 43X(0.0 20 )= 430+1.8x43-43x1.8 = 430X935+0.035+3 X0.035+0.07 X61 X0.5+ 0.035 X 35 + 0.035 + 3 0.035 +0.035 咒 610.

11、035X(900 +100 )0.035 咒 1000 =35(31 ) 19.98 X37-199.8 X1.9+1998 X0.82 = 19.98x37-19.98"9+19.9882 = 19.98x(37 +82 -19) = 19.98x100 = 1998(32) 32.14+64.28 X0.5378 X0.25+0.5378 X64.28 X0.75= 32.14 + 64.28X0.5378X(0.25 +0.75 ) = 32.14 + 64.28X0.5378 =64.28 X 0.5+64.28 X 0.5378 =64.28 X (0.5 +0.5378 ) = 64.28X1.0378 =66.709784(33) 2.89 X 4.68+4.68 6.11+4.68 = 4.68x(2.89+6.11+1 ) =4.68勺0 = 46.8(34) 41.2 X8.1+11 X1.25+53.7 X1.9= 41.2x8.1+11x1.25+41.2x1.9+12.5x1.9 =41.2 X(8.1 +1.9 ) + 11 咒1.25 +1.25 咒19= 41.2x10+ 1.25x(11 +19 )=