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有理數(shù)的混合運(yùn)算計(jì)算專項(xiàng)練習(xí)
--計(jì)算題
1.計(jì)算:
(1)(-40)-28+(+19);
(2)(1-1+2)x(-24);
368
⑶16-(-2)3-(-8)x(-1).
4
2.計(jì)算:
(1)-17+(-33)-10-(-16)
⑵-12018_匕(2-|-6|)
4
⑶(總總丹)X(-60)
(4)-32-(-2)3+4+2X2
3.計(jì)算
(1)-24x^
6812
⑵-I2018-(IJL)2-1-21
32
4.計(jì)算:
(1)(-3)2X23-(-4)+2
⑵’AW",-2"
5.計(jì)算:
(1)8+(-10)+(-2)-(-5)
⑵9騁X(-17)
⑶S)毋
(4)-ll00x|-5|-4x(-3)-42
6.計(jì)算:
(1)-(-2)+(-7)+5
(2)-12018X[4-(-3)2]+3+(-2)
4
(3)(2__1-1)x(-24)
1236
(4)-23+|5-8|+24+(-3)
7.(1)54+(-75)
⑶(二)x(烏一(-2-1)
454
(4)-91Lx36(用簡便的方法計(jì)算)
⑸(-4)2-1-91+4-2xa
⑹-l4-(l-0.5)X^-X[4-(-3)2]
8.計(jì)算
⑴號蔣玲*,^)
⑵-l4-[l-(l-0.5X4)1X6
O
9.計(jì)算
(1)-5-(-1!)+2y-(-1-)
⑵x(-1-|-)x(-4-|-)
00
10.計(jì)算:
(1)-23-AX(-2)2
92
(2)(-36)x(反至工)
4612
(3)-I4+|3-5|-16^(-2)xA
(4)6x(工二)-32-?(12)
32
(5)|-2|+3x(-1)2019-(-2)3
(6)(+1A)+21+(-3為+(-3.)
8888
11.計(jì)算:
(1)-42XA-(-5)xO.25x(-4)3
8
(2)(4A-3A)x(-2)-22+(-A)
3232
⑶(-工)2+(-1)4X(-1)4-(13+1工-2為X24
42834
(4)(1-1)X52-|-1|+-A)°+(0.25)20I9X42019
3535
12.計(jì)算
(1)-8-3x(-12)+8
(2)-6x(23-|(-8)+2|
34
13.計(jì)算
(1)16-(-10+3)+(-2)
(2)(-4)2XJL-27^(-3)3
8
(3)-I2-(1)2x(-1-1)+工
2338
14.計(jì)算:
(1)16-(-17)+(-9)-14
(2)-72-2x(-2)3+(-1)2
3
15.計(jì)算:
(1)-45+30
(2)0-23-?(-42)-A
8
16.計(jì)算
(1)-12-(-9)-2
⑵(-2)3-(-3)2+1
(3)(-36)X(-2+2-_L)
3412
17.計(jì)算:
(1)22+(-33)-4x(-H)
(2)|-36|x(J.-A)+(-8)+(-2)2
46
18.計(jì)算
(1)4-(-28)+(-2);
⑵(工,)x(-24);
36
⑶(-2)3一(-13)-j-(-y)
(4)-I2-(1-0.5)區(qū)工
25
19.計(jì)算
(1)10-(-5)+(-9)+6
(2)(-1)3+10^22X
20.計(jì)算題:
(1)-3-(-9)+5
(2)(1-_1+3)X(-48)
64
⑶16+(-2)3-(-1)x(-4)
8
(4)-12-(-10)』<2+(-4)2
2
21.計(jì)算與化簡:
⑴-78+(+5)+^—(-15)-1|
⑵-56+(-8)+81X([)
y
2
⑶-^7x[-32X+(-22)]
⑷(等1備)+需
22.計(jì)算:
(1)-3+(-5)-(-6)+|-4|;
(2)-2b(-+(-31)x31;
3425
(3)-I4-(1-0.5)xl[3-(-3)3];
(4)-52X(-3)+16+(-2)3-|-4x5|+(A-0.625)2x(-1)2018
8
23.計(jì)算:
(1)(-12)+18+|-5|;
(2)(-5)X74-+7X(-7-Z-)-12-r(-磊);
(4)_120184.(1_1)_[_32+(_2)2],
0
24.計(jì)算:
(1)25.7+(-7.3)+(-13.7)+7.3
⑶(-1)3+|-y|-(-y)X(―^)
42
(4)-I-(1-0.5)xlx[1-(-2)]
25.計(jì)算:
(I)16-(-23)+(-49)
(2)-4x2+(-2)x(-4)
(3)[-1+(-11)-(-I)]x24
623
(4)(-4)2-6xA+2x(-1)3+(__L)
32
26.計(jì)算:
(1)-0.5-(-2」)+1.75-(+51)
4
(2)(A-1+1)+(」)
126224
(3)-24+|3-4|-2X(-1)2008
27.計(jì)算
⑴12-(-3)+(-5)-18
⑵-Sx[3x(-1)2-2]
43
⑶-12018+(-4)2X(-A)+10.6-1|
3
28.計(jì)算:
(1)16-(-18)+(-9)-15
(2)(-A+_Z_-^.)x24一旦
61285
(3)-32+(-2)2x(-5)-|-6|
29.計(jì)算:
(1)—15+(—8)—(—11)—12
⑶
(4)-23+[(-4)2-(1-32)x3].
30.計(jì)算
(1)5-(+15)+7-(-13);
4
(2)-1+(1-1)口1-4|
233
有理數(shù)的混合運(yùn)算計(jì)算(2)
參考答案與試題解析
--計(jì)算題
1.計(jì)算:
(1)(-40)-28+(+19);
(2)(2-立+旦)x(-24);
368
(3)16+(-2)3-(-8)x(-1).
4
【解答】解:(1)(-40)-28+(+19)
=-40-28+19
=-68+19
=-49;
(2)(2-5+3)x(-24)
368
=Ax(-24)-互x(-24)+2x(-24)
368
=-8+20-9
=3;
(3)16+(-2)3-(-8)x(-1)
4
=16+(-8)-2
=-2-2
=-4.
2.計(jì)算:
(1)-17+(-33)-10-(-16)
(2)-12018-AX(2-|-6|)
4
⑶(蔣
(4)-32-(-2)3+4+2X2
【解答】解:(1)原式=-17-33-10+16=-44;
(2)原式=-l-_Lx(-4)=-1+1=0;
4
(3)原式=30+20-45=5;
(4)原式=-9+8+4=3.
【解答】解:(1)原式=20-9+2=13;
(2)原式=—1+———2=—36—2=—38.
36
4.計(jì)算:
(1)(-3)2X23-(-4)4-2
【解答】解:(1)(-3)2X23-(-4)+2
=9x8+2
=72+2
=74;
⑵(W得
=-Ax(-24)+Ax(-24)-3x(-24)
368
=-8-4+9
=一3.
5.計(jì)算:
(1)8+(-10)+(-2)-(-5)
⑵9喏'X(-17)
⑶(-12)-(14^
(4)-ll00x|-5|-4x(-3)-42
【解答】解:(1)原式=8-10-2+5
=13-12
=1;
(2)原式=(100-A)X(-17)
17
=-1700+1
=-1699;
(3)原式=(-12)-(A)
12
=144.
’5,
(4)原式=-1x5+12-16
=-5+12-16
=-9
6.計(jì)算:
(1)-(-2)+(-7)+5
(2)-12018X[4-(-3)2]+3+(-2)
4
(3)(-21-1)x(-24)
1236
(4)-23+15-81+24+(-3)
【解答】解:(1)-(-2)+(-7)+5
=2+(-7)+5
=0;
(2)-12018X[4-(-3)2]+3+(-3)
4
=-lx(4-9)+3x(-A)
3
=-lx(-5)+(-4)
=5+(-4)
=1;
⑶(」__1-1)x(-24)
1236
=(-14)+8+4
=—2;
(4)-23+|5-81+244-(-3)
—-8+3+(—8)
=-13.
7.(1)54+(-75)
(4)-921x36(用簡便的方法計(jì)算)
72
⑸(-4)2-1-91+4-2X、
(6)-i4-(i-o.5)XyX[4-(-3)2]
0
【解答】解:⑴54+(-75)=-21;
=1+11_4+1
9892
=(A-A)+(11+1)
9982
=0+2A
8
=2』;
8
=(x(J.)x(-A)
459
-1.
15,
(4)-921X36
=(-10+工)X36
72
=-10x36+-^x36
72
=-360+A
2
=-359」;
2
⑸(-4)2-|-9|+4-2Xy
=16-9+4-1
=20-10
=10;
⑹-l4-(l-0.5)x^-x[4-(-3)2]
=-1-AxAx(4-9)
23
=-1--lx-lx(-5)
23
=-l+5
6
_2
=6"
8.計(jì)算
(i)ew)x(-24)
(2)-14-[1-(1-O.5X-^-)]X6
【解答】解:(1)號W)x(-24)
=(-18)+4+(-9)
=-23;
⑵-l4-[l-(l-0.5X^-)]X6
o
=(1-A)]x6
6
=-1-(1-5)x6
6
=-1-AX6
6
=-1-1
=-2.
9.計(jì)算
⑴-5-(_]1)+居_(-I*)
⑵-吟x(-ly)X(-4-|-)
【解答】解:(1)-5-(-11)
=-5+11+2-^4,1
=9;
⑵-gX(-ly)X(一吟)
10.計(jì)算:
(1)-234-AX(-3)2
92
(2)(-36)x(9至二)
4612
(3)-「+13-51-16+(-2)xl
2
(4)6x(工」)-32+(12)
32
(5)|-2|+3x(-1)2019-(-2)3
(6)(+15)+2工+(-3為+(-3)
8888
【解答】解:(1)原式=-8x9x9=一旦上;
442
(2)原式=-45+30+33=18;
(3)原式=7+2+4=5;
⑷原式=2-3-3=-13;
44
(5)原式=2-3+8=7;
(6)原式=衛(wèi)+衛(wèi)_空_3=0.
8888
11.計(jì)算:
(1)-42XA-(-5)x0.25x(-4)3
8
(2)(4A-3A)x(-2)-2?+(-A)
3232
(3)(-A)2+(-A)4x(-1)4-(13+4-23)X24
42834
(4)(-1-JL)X524-|-A|+(-A)°+(0.25)2019X42019
3535
【解答】解:(1)-42x5-(-5)x0.25x(-4)3
8
=-16XA-5X_LX64
84
=-10-80
=-90;
(2)(4I-3A)x(-2)-2.2-?(-A)
3232
=(11-工)X(-2)+BX2
323
=_$+西
33
-_-1--1-,.
3
(3)(-A)(?A)4x(-1)4-(13.+1A-2.2)X24
42834
=_Lx16x1--11x24--1X24+A1X24
16834
=1-33-32+66
=2;
(4)(A-A)X52-?|-A|+(-A)°+(0.25)2019x42019
3535
=2x25x3+1+1
15
=12.
12.計(jì)算
(1)-8-3x(-⑵+8
(2)-6x(2二)-|(-8)+2|
34
【解答】解:(D原式=-8+36+8=36;
(2)原式=-4+9-4=-31.
22
13.計(jì)算
(1)16-(-10+3)+(-2)
(2)(-4)2XJL-27+(-3)3
8
(3)-12-(1)2x(-2-A)+工
2338
【解答】解:⑴原式=16-(-7)+(-2)
=16+7-2
=21;
(2)原式=16x1-27+(-27)
8
=2-(-1)
=2+1
=3;
(3)原式=-1一lx(-1)xl
47
7
=-2
7
14.計(jì)算:
(1)16-(-17)+(-9)-14
(2)-72-2x(-2)3+(-A)2
3
【解答】解:(1)原式=16+17-9-14
=33-23
=10;
(2)原式=-49-2x(-8)+工
9
=-49+16x9
=-49+144
=95.
15.計(jì)算:
(1)-45+30
(2)0-234-(-42)-A
8
【解答】解:(1)-45+30=-15;
(2)0-23+(_42)-A
8
=0-8+(—16)——
8
=1_1
~28
=3
8"
16.計(jì)算
(1)-12-(-9)-2
(2)(-2)3-(-3)2+1
(3)(-36)x(-2+旦一巨)
3412
【解答】解:(1)原式=-12+9-2=-5;
(2)原式=-8-9+1=76;
(3)原式=-2x(-36)(-36)-Ax(-36)
3412
=24-27+15
=12.
17.計(jì)算:
⑴22+(-33)-4x(-11)
(2)|-36|x(2-1)+(-8)-(-2)2
46
【解答】解:(1)原式=-11+44=33;
(2)原式=36x(__^)+(-8)+4
12
=-3+(-2)
=-5.
18.計(jì)算
(1)4-(-28)+(-2);
⑵(IJL)x(-24);
36
(3)(-2)3-(-13).(二);
'2'
(4)-I2-(1-0.5)名工
25
【解答】解:⑴原式=4+28-2=30;
(2)原式=-8+4=-4;
(3)原式=-8-26=-34;
(4)原式=-1-1x1x1=-1A.
25525
19.計(jì)算
(1)10-(-5)+(-9)+6
(2)(-1)3+10^22X(A).
5
【解答】解:⑴原式=10+5-9+6
=12;
(2)原式=-1+10+4x1
5
=-1+』
2
=-1.
2
20.計(jì)算題:
(1)-3-(-9)+5
(2)(1-A+J.)x(-48)
64
(3)16+(-2)3-(-1)x(-4)
8
(4)-I2-(-10)4x2+(-4)2,
2
【解答】解:(1)原式=-3+9+5
=11;
(2)原式=lx(-48)-lx(-48)+3x(-48)
64
=-48+8-36
=-76;
(3)原式=16+(-8)-1
2
=-2-A
2
=-2工;
2
(4)原式=-1-(-40)+16
=-1+40+16
=55.
21.計(jì)算與化簡:
⑴-78+(+5)蔣-(T5)-|蔣|
(2)-56+(-8)+81X(4)
y
2
⑶-^*x[-32X(-|-)+(-22)]
30
(4)(衛(wèi)心二).。.
,4912,36
【解答】解:(1)原式=-78+5+0.5+15-0.5=-58;
(2)原式=7+(-9)=-2;
(3)原式=-3x(-9x1-4)=-lx(-8)=6;
494
(4)原式=(-J.-A+J_)x36=-3x36-5x36+JLx36=-27-20+21=-26.
49124912
22.計(jì)算:
(1)-3+(-5)-(-6)+|-4|;
(2)-2,x(-立)+(-3工)x3工;
3425
(3)-I4-(1-0.5)xl[3-(-3)3];
(4)-52X(-3)+16+(-2)3-1-4x5|+(--0.625)2x(-1)2018.
8
【解答】解:(1)原式=-3+(-5)+6+4
=-8+10
=2;
(2)原式=-(卷器彳噂)
=_"
3,
(3)原式=-(-27)]
23
=-1-Ax(3+27)
6
=-1-AX30
6
=一1一5
=-6;
(4)原式=—25x(-3)+16-(-8)-|-20|+(§—立)2xl
88
=75-2-20+0
=53.
23.計(jì)算:
(1)(-12)+18+|-5|;
(2)(-5)X7-1-+7X(-7當(dāng)-120(-磊);
(4).120184.(1_1).[_32+(_2)2],
【解答】解:(1)(-12)+18+|-5|=-12+18+5=11;
⑵(-5)X7%7X(-7當(dāng)-12+(-磊)=爭<(-5-7+12)=0;
(3)fl總二(_工)=(A+5.-_5_)X(-24)=-12-20+10=-22;
、2612,'24,2612
(4)-i20184-(1--^-)-[-32+(-2)2]=-)-(-9+2)=3+7=段.
3355
24.計(jì)算:
(1)25.7+(-7.3)+(-13.7)+7.3
⑵(一奈)
zyizob
⑶(T)3+1卷I-(4)X(得)
42
(4)-I-(1-0.5)xlx[1-(-2)]
3
【解答】解:⑴25.7+(-7.3)+(-13.7)+7.3
=(25.7-13.7)+[(-7.3)+7.3]
=12+0
=17;
⑶(-1)3+|(-y)X(―^)
=(-1)+--1
2
3.
一,
2
42
(4)-I-(1-0.5)xlx[1-(-2)]
3
=-1-AxAx(1-4)
23
=-l-Ax(-3)
=_工
~2'
25.計(jì)算:
(1)16-(-23)+(-49)
(2)-4x2+(-2)x(-4)
(3)1-1+(-11)-(-1)]x24
623
(4)(-4)2-6XA+2X(-1)3+(-A)
32
【解答】解:(1)16-(-23)+(-49)
=16+23+(-49)
=-10;
(2)-4x2+(-2)x(-4)
=-8+8
=0;
(3)[-1+(-11)-(-2)]x24
3
=-4+(-36)+16
(4)(-4)2-6XA+2X(-1)3+(-A)
=16-8+2x(-1)x(-2)
=16-8+4
=12.
26.計(jì)算:
(1)-0.5-(-2工)+1.75-(+5A)
42
(2)(A.-1+1)+(」)
126224
(3)-24+|3-4|-2X(-1)2008
【解答】解:(1)-0.5-(-21)+1.75-(+51)
42
=-2;
(2)(-L-1+1)+(」)
126224
22012,1、
242424,24,
=7.
R
(3)-24+|3-4|-2X(-1)2(x)8
=-16+1-2x1
=-16+1-2
=-17.
27.計(jì)算
(1)12-(-3)+(-5)-18
(2)-AX[3X
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