有理数加减混合运算习题(一)1.将下列各式写成省略加号的和的形式,并合理交换加数的位置。(1)(+16)+(-29 )- (+11)+(+9)= ;(2)(-3.1 ) -(-4.5) + (+4.4) - (+103) + (-2.5) = ;(3)(+21 )-5+ (-31 )- (+41 )+( -32 ) = ;(4)(-2.6 ) - (4.7 )- (+0.5 )+(+2.4 )+(-3.2 )= ;2.计算:(1)- 5-9+3 (2) 10-17+8 (3)- 3-4+19-11 (4)- 8+12- 16-23 (3)- 3-4+19-11 (4)-8+12-16-23 ( 5)(+3.41 )-(- 0.59 )(6)75137413 (7)— 9+(— 343 )+343 (8)-4.2+5.7-8.4+10 (9)6.1-3.7-4.9+1.8 13231)10(21326541)11((12)(— 36)—(— 25)—( +36)+( +72)(13)(— 8)—(— 3)+(+5)—( +9)(14)(— 8)—(— 3)+(+5)—( +9)(15))32()41()61(21(16)5.13.42.56.34.1;(17)4.7 -(- 8.9 )- 7.5+ (- 6)(18)( -0.6)+1.7+(+0.6 )+( - 1.7 )+( - 9 ) (19));7412(7312653431615413(20)()()()()()1141211453314294163(21) [1.8-(-1.2+2.1)-0.2]-(-1.5)(22) ()()[()()]325611438143( 23)4553186()() (24) (-32 )+(+0.25)+(-61 )-(+21 ) (25) (+353 )+(+443 )-(+152 )+(-343 ) (26)10-[ ( -8 )+(-3 )- (-5 )] (27)- ︱-32 - (-23 )︱ - ︱( -51 )+(-52 )︱(28)-116 -97 +94 -115(29) -0.8-(-0.08)-(-0.8)-(-0.92)-(-9) (30)(-2.5)+(+65 )+(-21 )+(+161 ) (31)- ︱-0.25 ︱+43 -(-0.125)+ ︱-0.75 ︱(32)︱ (-21 )+(-85 ) ︱(-43 )+87 ︱(33)│ -3 12+( -1 58)│ - │-2 34+ 78│(34)-9 23+(-13 78)-8- (-7 23)- (+178)(35) -5 56- ( +9 23)- (-17 34)+(-3 12)( 36) - │4 23-6 13│-[ (-2 15) - (-0.8 ) - │-2 45│ ] ( 37)( -121.4 ) +(-78.5 )- ( -8 12)- ( -121.4 )(38)- (-1 12)+(- 56)+2 34- (- 38)- (+4 23)(39) -5 56- (+9 23)- (-17 34)+(-3 12)11.阅读第( 1)小题的计算方法,再计算第(2)小题.(1)计算: -5 56- (+9 23) - (-17 34)+(-3 12) =-556+(-9 23)+(+17 34)+(-3 12) =[(-5 )+(-9 )+17+(-3 )]+[ ( - 56) +(- 23)+ 34+(- 12)] =0+(-1 14)=-1 14.上面这种方法叫做拆项法 .(2)计算:(-2000 56) +(-1999 23)+4000 34+( -1 12).1、 (选作题: 15 分)阅读观察下列解题过程:例:计算10099199981431321211解:因为111)1()1()1(1nnnnnnnn所以10099199981431321211=10099100111001991991981413131212111计算:101991751531311