2022-2023年华东师大版七年级数学上册《2.13有理数的混合运算》
计算能力达标测评(附答案)
(共25小题,每小题4分,满分100分)
1.计算
(1)﹣20+(﹣5)﹣(﹣18);
(2)﹣9÷3+(﹣)×12+(﹣3)2;
(3)﹣14﹣(1﹣0.5)××[2﹣(﹣32)];
(4)﹣72+2×(﹣3)2+(﹣6)÷(﹣)2.
2.(1)(﹣2)+(﹣3)﹣(+1)﹣(﹣6)
(2)
(3)﹣14﹣32÷[(﹣2)3+4]
(4)﹣9÷3+(﹣)×12+(﹣3)2
3.计算
(1)23+(﹣17)+(+7)+(﹣13)
(2)(﹣﹣)×(﹣24)+42÷(﹣2)3+(﹣1)99
4.计算:
(1)32×(﹣)+8÷(﹣2)2.
(2)(﹣﹣)×(﹣36)
5.计算:
(1)6+(﹣)﹣2﹣(﹣1.5)
(2)10+[﹣(﹣1+1)]×6
(3)﹣2÷×()2
(4)﹣32﹣|﹣6|﹣3×(﹣)+(﹣2)2÷
6.计算
(1)﹣3+(﹣4)﹣(﹣2)
(2)
(3)﹣22+|2﹣3|﹣2×(﹣1)2022
(4)
7.计算:
(1)16÷(﹣2)3+×(﹣4)
(2)
(3)
(4)
8.计算
(1)﹣10﹣(﹣16)+(﹣24)
(2)6÷(﹣2)×
(3)
(4)﹣14﹣
9.计算:(1)(﹣3)+(﹣4)﹣(+11)﹣(﹣9); (2)﹣32×2﹣3×(﹣2)2
10.计算.
(1)﹣23÷×()2+(﹣1)4
(2)(﹣+1﹣2.75)×24+(﹣1)2011.
11.计算:
①8+(﹣10)+(﹣2)﹣(﹣5)
②2﹣3﹣5+(﹣3)
③﹣81÷(﹣2)×÷(﹣16)
④﹣14﹣×[3﹣(﹣3)2]
⑤(﹣+)×(﹣36);
⑥199×(﹣5)(用简便方法计算)
12.阅读以下解题过程
(﹣15)÷(﹣)
解:原式=(﹣15)÷+(﹣15)÷(﹣)第一步
=(﹣15)×5+(﹣15)×(﹣3)第二步
=﹣75+45第三步
=﹣30第四步
(1)以上解题过程从第 步出现错误;
(2)请写出该题的正确计算过程.
13.计算:
(1)(﹣3)4÷(1)2﹣6×(﹣)+|﹣32﹣9|
(2)﹣32×(﹣)3﹣(+﹣)÷(﹣)
14.计算:
(1)﹣+(+)﹣(+)+();
(2)(﹣5)3×[2﹣(﹣6)]﹣300÷5.
15.计算:
(1)2﹣3﹣5+(﹣3);
(2)﹣14×(﹣2)+(﹣5)×2+4×.
16.计算题
(1)5
(2)17﹣8÷(﹣2)+4×(﹣3)
(3)
(4)
(5)25×.
17.计算下列各题
(1)|﹣45|+(﹣71)+|﹣5|+(﹣9)
(2)
(3)﹣54×2
(4)﹣2﹣(4﹣3)×|﹣|
(5)9×(﹣5)
(6).
18.细心算一算
(1)19+(﹣6)+(﹣5)+(﹣3)
(2)(﹣81)÷×÷(﹣16)
(3)(﹣24)×(﹣﹣)
(4)﹣|﹣5|+(﹣3)3÷(﹣22)
(5)﹣14﹣(﹣1)3﹣[2﹣(﹣3)2]
(6)﹣99×36.
19.计算
(1)(﹣1)3×(﹣5)÷[(﹣3)2+2×(﹣5)]
(2)﹣14﹣(1﹣0.5)××[4﹣(﹣2)3].
20.计算:
(1)﹣3﹣[﹣2﹣(﹣8)×(﹣0.125)]
(2)﹣24÷(﹣2)2+5×(﹣)﹣0.25.
21.计算:
(1)﹣6+(﹣4)﹣(﹣2)
(2)﹣5
(3)﹣24×
(4)
(5)﹣32﹣(﹣3)3+(﹣2)2﹣23
(6)(﹣81)÷.
22.计算
(1)﹣3+8+(﹣7);
(2)﹣+(﹣)﹣;
(3)(﹣+)×(﹣36);
(4).
23.计算与化简:
(1)计算:
(2)25×.
24.计算:﹣22÷(﹣1)3×(﹣5)
25.计算:
(1)﹣3.5÷×(﹣)×|﹣|
(2)﹣14﹣(1﹣0.5)×[2﹣(﹣3)2].
参考答案
1.解:(1)﹣20+(﹣5)﹣(﹣18)
=﹣20﹣5+18
=﹣7
(2)
=﹣3+6﹣8+9
=4
(3)
=﹣1﹣××(2﹣9)
=﹣1﹣×(﹣7)
=﹣1+
=;
(4)﹣72+2×(﹣3)2+(﹣6)÷(﹣)2
=﹣49+2×9+(﹣6)×9
=﹣49+18﹣54
=﹣85
2.解:(1)原式=﹣2﹣3﹣1+6
=0
(2)原式=(﹣+﹣)×(﹣24)
=2﹣8+12
=6
(3)原式=﹣1﹣32÷(﹣8+4)
=﹣1+8
=7
(4)原式=﹣3+(﹣)×12+9
=﹣3﹣2+9
=4
3.解:(1)23+(﹣17)+(+7)+(﹣13),
=23﹣17+7﹣13,
=23+7﹣17﹣13,
=30﹣30,
=0;
(2)(﹣﹣)×(﹣24)+42÷(﹣2)3+(﹣1)99,
=﹣24×+24×+24×+16÷(﹣8)﹣1,
=﹣16+12+30﹣2﹣1,
=﹣19+42,
=23.
4.解:(1)32×(﹣)+8÷(﹣2)2.
=9×(﹣)+8÷4,
=﹣3+2,
=﹣1;
(2)(﹣﹣)×(﹣36),
=﹣36×+36×+36×,
=﹣18+30+21,
=﹣18+51,
=33.
5.解:(1)原式=6﹣0.2﹣2+1.5=5.3;
(2)原式=10+(×6﹣×6)=10+1=11
(3)原式=﹣2÷×()2=﹣2××=﹣2
(4)原式=﹣9﹣6+1+4×2=﹣6
6.解:(1)原式=﹣3﹣4+2=﹣5;
(2)原式=﹣48+8﹣36=﹣76;
(3)原式=﹣4+1﹣2=﹣5;
(4)原式=×[9×+0.8]×=××=.
7.解:(1)原式=16÷(﹣8)+×(﹣4)
=﹣2﹣
=﹣2;
(2)原式=﹣2+(﹣)×(﹣+)
=﹣2+(﹣)×5
=﹣2﹣6
=﹣8;
(3)原式=×(﹣24)﹣×(﹣24)﹣×(﹣24)
=﹣16+18+2
=﹣16+20
=4;
(4)原式=﹣16﹣(﹣4﹣1)
=﹣16﹣(﹣5)
=﹣16+5
=﹣11.
8.解:(1)﹣10﹣(﹣16)+(﹣24)
=﹣10+16﹣24
=﹣18;
(2)6÷(﹣2)×
=﹣3×
=﹣;
(3)
=36﹣×72+×72﹣×72
=36﹣18+60﹣32
=46;
(4)﹣14﹣
=﹣1﹣×(﹣6)
=﹣1+1
=0.
9.解:(1)原式=(﹣3)+(﹣4)+(﹣11)+(+9),
=﹣18+9,
=﹣9.
(2)原式=﹣9×2﹣3×4,
=﹣18﹣12,
=﹣30.
10.解:(1)﹣23÷×()2+(﹣1)4,
=﹣8××+1,
=﹣8+1,
=﹣7;
(2)(﹣+1﹣2.75)×24+(﹣1)2011.
=﹣×24+×24﹣×24﹣1.
=﹣3+32﹣66﹣1.
=﹣38.
11.解:①8+(﹣10)+(﹣2)﹣(﹣5),
=8﹣10﹣2+5,
=(8+5)+(﹣10﹣2),
=13﹣12,
=1;
②2﹣3﹣5+(﹣3),
=(2﹣3)﹣(3+5),
=﹣1﹣9,
=﹣10;
③﹣81÷(﹣2)×÷(﹣16),
=﹣81×××,
=﹣1;
④﹣14﹣×[3﹣(﹣3)2],
=﹣1﹣×(3﹣9),
=﹣1﹣×(﹣6),
=0;
⑤(﹣+)×(﹣36);
=﹣×36+×36﹣×36,
=﹣18+20﹣21,
=﹣19;
⑥199×(﹣5)(用简便方法计算)
=(200﹣)×(﹣5),
=200×(﹣5)+5×,
=﹣1000+,
=﹣999.8.
12.解:(1)以上解题过程从第一步出现错误;
故答案为:一;
(2)(﹣15)÷(﹣),
=﹣15÷(﹣),
=﹣15÷(﹣),
=15×,
=.
13.解:(1)原式=81÷+1+|﹣9﹣9|
=36+1+18
=55
(2)原式=﹣9×(﹣)﹣()×(﹣24)
=﹣×(﹣24)
=+13
=14
14.解:(1)﹣+(+)﹣(+)+()
=﹣+﹣+
=﹣﹣++
=﹣1+1
=0
(2)(﹣5)3×[2﹣(﹣6)]﹣300÷5
=﹣125×8﹣60
=﹣1000﹣60
=﹣1060
15.解:(1)2﹣3﹣5+(﹣3)
=2+(﹣3)﹣3﹣5
=﹣1﹣9
=﹣10
(2)﹣14×(﹣2)+(﹣5)×2+4×
=﹣1×(﹣)+(﹣5)×+4×
=×(1﹣5+4)
=×0
=0
16.解:(1)5,
=(5+4)+(﹣5﹣),
=10﹣6,
=4;
(2)17﹣8÷(﹣2)+4×(﹣3),
=17+4﹣12,
=21﹣12,
=9;
(3),
=60×+60×﹣60×﹣60×,
=45+50﹣44﹣35,
=16;
(4),
=﹣9÷,
=﹣9×,
=4;
(5)25×,
=25×+25×﹣25×,
=25×(),
=25×1,
=25.
17.解:(1)|﹣45|+(﹣71)+|﹣5|+(﹣9),
=45﹣71+5﹣9,
=50﹣80,
=﹣30;
(2),
=6.75﹣1.55+3.25﹣15.45,
=(6.75+3.25)﹣(1.55+15.45),
=10﹣17,
=﹣7;
(3)﹣54×2,
=54×××,
=6;
(4)﹣2﹣(4﹣3)×|﹣|,
=﹣﹣1×,
=﹣﹣×,
=﹣﹣,
=﹣3;
(5)9×(﹣5),
=(10﹣)×(﹣5),
=10×(﹣5)+5×,
=﹣50+,
=﹣49;
(6),
=﹣﹣++,
=﹣﹣3++,
=﹣3.
18.解:(1)原式=19﹣6﹣5﹣3=19﹣14=5;
(2)原式=81×××=1;
(3)原式=﹣24×+24×+24×=﹣8+3+4=﹣1;
(4)原式=﹣5+=;
(5)原式=﹣1+1﹣[2﹣9]=﹣1+1﹣(﹣7)=7;
(6)原式=(﹣100+)×36=﹣100×36+×36=﹣3600+=﹣3599.
19.解:(1)原式=(﹣1)×(﹣5)÷[9+(﹣10)]=5÷(﹣1)=﹣5;
(2)原式=﹣1﹣()××[4﹣(﹣8)]=﹣1﹣×12=﹣1﹣2=﹣3.
20.解:(1)原式=﹣3﹣[﹣2﹣1],
=﹣3+3,
=0;
(2)原式=﹣16÷﹣﹣,
=﹣﹣,
=﹣.
21.解:(1)原式=﹣6﹣4+2=﹣8;
(2)原式=﹣5+1.5+4.5﹣4=﹣4.5;
(3)原式=12﹣18+8=2;
(4)原式=×(﹣18+13﹣4)=×(﹣9)=﹣6;
(5)原式=﹣9+27+4﹣8=14;
(6)原式=﹣81×××(﹣)=1.
22.解:(1)﹣3+8+(﹣7)
=﹣3+8﹣7
=﹣10+8
=﹣2;
(2)﹣+(﹣)﹣
=(﹣)+(﹣﹣)
=﹣1
=﹣;
(3)(﹣+)×(﹣36)
=﹣×36+×36﹣×36
=﹣18+20﹣21
=﹣19;
(4)=.
23.解:(1)原式=﹣16÷[1﹣9]+(﹣10+9),
=﹣16÷(﹣8)+(﹣1),
=2﹣1,
=1.
(2)原式=25×+25×+25×(﹣),
=25×(+﹣),
=25×1,
=25.
24.解:原式=﹣4÷(﹣1)×(﹣5)=4×(﹣5)=﹣20.
25.解:(1)原式=﹣××(﹣)×=.
(2)原式=﹣1﹣××(2﹣9)=﹣1﹣×(﹣7)=﹣1+=.