初一数学有理数计算题分类及混合运算练习题(200题)

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初一数学专题练习有理数

初一数学有理数计算题分类及混合运算练习题(200题)
有理数加法1(-9+(-132(-12+273(-28+(-34
467+(-925(27.8+43.96(-23+7+(-152+65
原则一:所有正数求和,所有负数求和,最后计算两个数的差,取绝对值较大的数的符号
22
7|5+(-1(-5+|13|=83|=
938+(-22++62+(-78=
11110(-8+(-10+2+(-111(-23+0++4+(-6+(-2
==12(-8+47+18+(-2713(-5+21+(-95+29==14(-8.25+8.25+(-0.25+(-5.75+(-7.5156+(-7+(-9+2==
1672+65+-105+(-2817(-23+|63|+|37|+(-77==
1819+(-195+4718+18+(-32+(-16++26==
1
20(-0.8+(-1.2+(-0.6+(-2.421(-8+(-312+2+(-2+12
==
321
2255+(-52-6.37+(-333+45+(-3234+6.37+2.75
==

原则二:凑整,0.25+0.75=1
14
+4=10.25+4=1抵消:和为零
33
有理数减法
79=79=0(9=(25(13=
1
8.2(6.3(31254(12.5(7.5
===
3511
(26(1212181(12(+2(4―(-8)―8
=44=2=14

(20(+5(5(12(23(59(3.5|32|(1272(5=8=39.5=23
31634212
+10)―(-7)―(-5)―107(-5)―3―(-3.2)―7+7)―(-7)―7
=1170=10=0
1
(-0.5)-(-314)+6.7552+6.1)―(-4.3)―(-2.1)―5.1
=4=7.4
33222
(-23)―(14(13(+1.75(33(24(13(1.75
=1=2.5
7351212
83459463944+6+(327=1312=734

1
0.5+(-14)-(-2.75+2+4.3)-(-4+(-2.3)-(+4
=3.5=2

原则三:结果的形式要与题目中数的形式保持一致。如确定是分数还是小数,分数必须是带分数或真分数,不得是假分数,过程中无所谓。有理数乘法
2
(-9)×23(-13)×(-0.26(-2)×31×(-0.5
=6=0.04=31
13
34
×(-5)+13×(-13(-4)×(-10)×0.5×(-3(-8)×3×(-1.8
=6=60=0.9
(-0.25)×(-47)×4×(-7=4
(-8)×4×(-12)×(-0.75=12
4
7118+143)×56=3263+12=19
(-34)×(8430.4=6+1+0.3=4.7
25×34-(-25)×1225×14=25×(34+1214=25×112=3712
(-37)×(-4
5)×(-127
=154×(-96)×(-0.25)×481
=2563479)×36
=302728=25(-66)×〔12122-(-1
3)+(-115
=666322+55=96(-36)×(4
956127=1630+21
=25
原则四:巧妙运用运算律
757
18+3469)×72
1
3
352
×(2147×(85×(16
2785
=28+5460+56=13×(14×(5×(169=78=28
有理数除法
3218÷(-3(-24)÷6(-57)÷(-3(-5)÷5(-42)÷(-6
=6=4=19=32=7
53912+21)÷(-7(-13)÷90.25÷(-1836÷(-13)÷(-351=9=13=2=4012
641(-1)÷(-4)÷73÷(-7)×(790÷[(34×(7497=16=18=0

6113÷(134(-247)÷(-62÷(518)×181=36=417=117

7333751113÷(-3)×(-38×(-14)÷(-848)÷(-634=27=12=20

333353112928+4)÷(-43.5×(60.5)×7÷217÷(-16)×18×(-77961131=6+12-1=2×(-3)×7×2=7×11×8×727=612=1=4
=634
65
51
×(-132)÷4
5
7
552
÷(-25)-7×1253÷4
45555551
=65×6×5=7×(-12)-7×123×4

555
=4=12×(7+7+15=12×1771=184
原则五:结果的形式要与题目中数的形式保持一致。如确定是分数还是小数,分数必须是带分数或真分数,不得是假分数,过程中无所谓。
3922
0.8×11+4.8×(-7)-2.2÷7+0.8×11711922=0.8×(11+11245×75×3487720774=53515=351520242=35515=751574=5105
有理数混合运算
37734(-1620512)×(-15×4187(-2.4
2=10+948+35=5
=6
341121
2÷(-7)×7÷(-51]÷(-117152-(14÷1532855585811=1427=1524×732]×9=124×7]×9
=
311
28622
×89=63
=95563
1
5
31121
×(-5)÷(-15)×5-(321+147)÷(-42
31=25=1321+147)×42
2
=142+912=9
52113×230.34×7+3×(-13)-7×0.348-(-25)÷(-5512=[-13×2]-0.34×77×0.34=33+3×(-13
=130.34=13.34
11111
(-13)×(-134)×13×(-67(-478)-(-52+(-44)-38

3
=2=8+114=64
21(-1650+35)÷(-2(-0.5)-(-314+6.75527=8+25110=(-0.5)-512+6.75-(-3.253=3110=4
217887.21+4321+53192112.79(-6)×(4+(32÷(83=17887.2112.79+43212+531921=178100+97=175
27(12+|112|=157
[(149157+218]÷(421=[149127+218]×(42=27+7216=83
131
5×(327165)÷22=832
5×(-32)×5=350
有乘方的运算:
2×322213
=18=3
2×2232
243=12=681
2=24+43
=25(-9)×(4+(60÷12=366=31
|3|÷10-(-15)×1334×(82130.04=3+5=6+7104+0.03=6+1.75+0.03=4710=4.22
213312+11718)÷(-116)×(-7=(77356
32+18×(-7)×(-7=(7735
32+18×6
=1421+352
3
=43
3443132×13
32
÷42

=17=1+2=1=9÷16=9
16
23×24×25
2×32232
=2
345
=212=4096=2×324×32
=6×9=54


2222323
22(33×111+122
3
3
22
1
=2=427+1=12+2
2
2
=30=0
2÷10.832×103÷3×222×12÷32
2
3
23232
61
=24=4×4×5=1+32=31=164
4
1
3

22221
2×(1×06+×10+8÷4×323354
=0=55=20
15325233
150.42.51-(10.5)×2×2×323
1
=11=2=16=16=4
82
3+(-6)÷12×14×3+6137+2×32×3×
2
11
1312722
=42=

32
=49+1854=97
7522322
24÷(-8)-1543×(-×(22
811
)×7
4
=22=22=0
45
=4+4×5=24=9=1
122223×3]÷162÷9÷69236×1
23
11
1123
-{330.41(214+10.5)××[2×3
32=-{-273.3=30.3=1+3=2

4×176+53233821+3×2÷
3
3
3
3
2
3

10.25
=4+16=20=27+218=43

过关测试:一
12411(((235231
=18=
5
1.(3222.

11
3.(1.542.75(54.8(563
4
2
=0=23
5.45(12
3=458

1.(1025(25
=8
9.5(6(42(8=28
11.(1650325(2=8+2517
10=31310
13.(1
21(222
2
3
3
2=112
15.3[32(22
3
22]6.(2(55
6
(4.90.6=3115
8.(53(3
5
2=4510.21(6(1472
2=12
712.(68(23(425
=48+880
=120
14.11997(10.513
=116
(32(24
3
10
16.
=9=
916
17.14(10.5[2(32]18.(81(2.25(16=1+=81×××==1

16
1349
764949116

19.52[4(10.2(2]20.(5(3(7(312(3=25-[-4=20
21.((420.25(5(4322.(32(136=1080=99=90=

过关测试:二

19911111
17(113(22342(4(1416
4131392844
1
5676767
126
=(57+12×(3725
13
=025
58122923
34
34
13133321(525332452(23(10.811
422
1
5(—5÷(—16÷(—264+2×(-36÷0.25
3
3
7(—5÷1.85—(21)×7818÷{1-[0.4+(1-0.4]×0.4
4
1111
91÷(-×103-[4-(4-3.5×]×[-2+(-3]
6363

118+(-
12656
-5-(-0.25153122411;4713713
1632003532002632001175.5+3.22.54.8
33112182(4188(25(0.0219+320822
11111322
211002222(3÷(412÷(×(1
76254233114
(-0.25×(-3×(+423(2×(3×(27
76
14
15

111
24、-425×(42(151×((2÷(2
642
25、-1
11521122131213
×31×43×(126-+-+
326341315151315
11111
553(2((563419112603(-4
243461115
57162(-605813[26(21(18]69((8
23204
592
131223(11708((4((8442595
343414
66(4(7(2567(8(68(8
534315
11111
719(1112(81217(113(2
92844
31111
78(((2796(0.258184(2
424242111
80((82502(83178(24(3
3325
1221
84325022(1851(0.51894(325(36
10339115285
8635022(187[1(10.5][2(32]88(2(
522514
113121
908(5(0.2591((4892(1(1
464123314111311
932(91994(812(1695[(5]
24244249
357194
9613+(+7-(-20-(-40-(+69734(24102(÷
494912361511
98(24(332(6329920(14(18131071
81232

1008(15(0.25101(-12÷4×(-6÷210310(2(52
4
33
104(7(590÷(15120121(126(3
47
10571×13÷(91910625×3(25×125×(11092(x-3-3(-x+1
2
4
4
2
4
2
111117724
108(81÷21÷(16121112÷7(113(2(6499284448311122135
1113211348119、―22+1×(-22
4223334824
2117
114||÷((42115、-22-〔-32+(24÷23
35391115
116(420.25(5(43117(3(2(1(2(12004
2168222
11810022(23125(-0.4)÷0.02×(-5
3
199
122342(4(1416124(3.74[(5.91(2.74(2.78
41313
126421271(2()+(0.25
233412575712125
7
11331
128113[5+(]1292(4÷(10.22
54843
13052(23(10.811
4

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