内容正文:
第4单元小数的加减简便运算期末专题训练 加法交换律:a+b=b+a 加法结合律:(a+b)+c=a+(b+c) 减法的性质:a-b-c=a-(b+c) 一个数连续减去两个数,等于这个数减去这两个数的和。 考试时,实在想不出用什么简便运算,可以按照运算顺序计算 加法交换律类型/带符号搬家交换位置要连带着数字前的符号一起移动。 6.41+20.79+3.59 8.49+2.3-2.49 17.86+5.78-0.86 67.08-8+0.92 46.85+4.7-3.85+6.3 27.2+5.18+2.8 加法结合律类型 224.91-2.37+5.09 113.92+5.04+86.08 8.45+4.7+11.55+5.3 减法的性质(添括号)类型: 括号前面是“-”号,添括号需要改变括号里面的符号,“-”号变“+”号, “+”号变“-”号。 189.27-46.32-54.68 32.6-8.04-1.96 40.97-22.42+2.42 72-4.4-5.6 2 去括号类型 括号前面是“-”号,去括号需要改变括号里面的符号,“-”号变“+”号, “+”号变“_”号。 195.83-(5.83+4.38) 15.35-(6.9+5.35) 48.5-(18.5-1.78) 43.26-(4.09+13.26) 43.28+(19.6+0.72) 47.76+(9.45-7.27) 拆补类型(1.01=1+0.01,0.99=1-0.01) 0.9+9.9+99.9+999.9 1.1+10.1+100.1+1000.1 综合练习 1.计算下面各题,能简算的要简算。 44.16-4.16+3.87 29.3+8.26+5.74 65.7-(35.7-16.91) 2.计算下面各题,能简算的要简算。 20.8+77.2+20.67 29-5.06-2.73 47-6.5+3.9 3.计算下面各题,能简算的要简算。 44.36+7.85+5.64 102.4-3.57-6.43 J 5.计算下面各题,能简算的要简算。 41.6+21.9+9.4 101.6-8.47-12.53 64.98-(40.98-33.5) 6.怎样简便怎样算。 20.4+4.56-3.98 15.2+20.9+0.1 119.62+41.8-19.62 81.45-2.85-11.45 6 48.67-(18.67+0.9) 60.5+17.5-60.5+12.5 7.计算下面各题,能简算的要简算。 6.43+3.5+6.5 306.16-10+3.84 8.65-2.75+0.75 29.4+7.3-3.8 8.计算下面各题,能简算的要简算。 13.53-0.7+100.3 100-26.25-3.75 81.6-2.35+1.7 5.4+(23.4-0.96) 9.计算下面各题,能简算的要简算。 13-5.44-4.56 1.07+0.38+0.93+2.62 14.65-(3.98+4.65) 26.4-3.78-6.4-6.22 10,计算下面各题,能简算的要简算。 27.3+73.2+72.7 43.25-10.4-3.25 6 3.8+1.37+6.2+12.63 76.8-27.4-12.6 11.计算下面各题,能简算的要简算。 10-3.4-4.85 25.63-7.47-4.53 6.35-(1.8+3.35) 7.6-2.5+2.4-1.5 13.计算下面各题,能简算的要简算。 8.68+5.76+1.32 48.78-0.96-0.04 0 153.83-(53.83+41.38) 129-19.09-0.91 112.86+5.78-2.86 12.72+7.28+0.49+0.21 o第4单元小数的加减简便运算期末专题训练
加法交换律:a+b=b+a
加法结合律:(a+b)+c=a+(b+c)
减法的性质:a-b-c=a-(b+c)
一个数连续减去两个数,等于这个数减去这两个数的和。
考试时,实在想不出用什么简便运算,可以按照运算顺序计算
加法交换律类型/带符号搬家交换位置要连带着数字前的符号一起移动。
6.41+20.79+3.59
8.49+2.3-2.49
17.86+5.78-0.86
67.08-8+0.92
46.85+4.7-3.85+6.3
27.2+5.18+2.8
1
加法结合律类型
224.91-2.37+5.09
113.92+5.04+86.08
8.45+4.7+11.55+5.3
减法的性质(添括号)类型:
括号前面是“-”号,添括号需要改变括号里面的符号,“-”号变“+”号,
“+”号变“-”号。
189.27-46.32-54.68
32.6-8.04-1.96
40.97-22.42+2.42
72-4.4-5.6
去括号类型
括号前面是“-”号,去括号需要改变括号里面的符号,“-”号变“+”号,
6+”号变“-”号。
195.83-(5.83+4.38)
15.35-(6.9+5.35)
48.5-(18.5-1.78)
43.26-(4.09+13.26)
43.28+(19.6+0.72)
47.76+(9.45-7.27)
拆补类型(1.01=1+0.01.0.99=1-0.01)
0.9+9.9+99.9+999.9
1.1+10.1+100.1+1000.1
综合练习
1.计算下面各题,能简算的要简算。
44.16-4.16+3.87
29.3+8.26+5.74
65.7-(35.7-16.91)
2.计算下面各题,能简算的要简算。
20.8+77.2+20.67
29-5.06-2.73
47-6.5+3.9
3.计算下面各题,能简算的要简算。
44.36+7.85+5.64
102.4-3.57-6.43
5.计算下面各题,能简算的要简算。
41.6+21.9+9.4
101.6-8.47-12.53
64.98-(40.98-33.5)
6.怎样简便怎样算。
20.4+4.56-3.98
15.2+20.9+0.1
119.62+41.8-19.62
81.45-2.85-11.45
6
48.67-(18.67+0.9)
60.5+17.5-60.5+12.5
7.计算下面各题,能简算的要简算。
6.43+3.5+6.5
306.16-10+3.84
8.65-2.75+0.75
29.4+7.3-3.8
8.计算下面各题,能简算的要简算。
13.53-0.7+100.3
100-26.25-3.75
>
81.6-2.35+1.7
5.4+(23.4-0.96)
9.计算下面各题,能简算的要简算。
13-5.44-4.56
1.07+0.38+0.93+2.62
14.65-(3.98+4.65)
26.4-3.78-6.4-6.22
10.计算下面各题,能简算的要简算。
27.3+73.2+72.7
43.25-10.4-3.25
3.8+1.37+6.2+12.63
76.8-27.4-12.6
11.计算下面各题,能简算的要简算。
10-3.4-4.85
25.63-7.47-4.53
6.35-(1.8+3.35)
7.6-2.5+2.4-1.5
13.计算下面各题,能简算的要简算。
8.68+5.76+1.32
48.78-0.96-0.04
9
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第4单元 小数的加减简便运算期末专题训练
加法交换律:a+b=b+a
加法结合律:(a+b)+c=a+(b+c)
减法的性质:a-b-c=a-(b+c)
一个数连续减去两个数,等于这个数减去这两个数的和。
考试时,实在想不出用什么简便运算,可以按照运算顺序计算
加法交换律类型/带符号搬家 交换位置要连带着数字前的符号一起移动。
6.41 + 20.79 + 3.59 8.49 + 2.3 - 2.49
= 6.41 + 3.59 +3.9 = 8.49 - 2.49 + 2.3
= 10 + 20.79 = 6 + 2.3
= 30.79 = 8.3
17.86 + 5.78 - 0.86 67.08 - 8 + 0.92
= 17.86 - 0.86 + 5.78 = 67.08 + 0.92 - 8
= 17 + 5.78 = 68 - 8
= 22.78 = 60
46.85 + 4.7 - 3.85 + 6.3 27.2 + 5.18 + 2.8
= (46.85 - 6.85) + (14.7 + 6.3) = 127.2 + 2.8 + 5.18
= 40 + 21 = 130 + 5.18
= 61 = 135.18
加法结合律类型
224.91 -2.37 + 5.09 113.92 + 5.04 +86.08
= 224.91 + 5.09 - 2.37 = 113.92 + 86.08 + 5.64
= 230 – 2.37 = 200 + 5.04
= 227.63 = 205.04
8.45 + 4.7 + 11.55 + 5.3
= (18.45 + 11.55) + (50.7 + 59.3)
= 30 + 110
= 140
减法的性质(添括号)类型:
括号前面是“-”号,添括号需要改变括号里面的符号,“-”号变“+”号,
“+”号变“-”号。
189.27 - 46.32 - 54.68 32.6 - 8.04 - 1.96
= 189.27 - (46.32 + 54.68) = 32.6 - (8.04 + 1.96)
= 189.27 - 101 = 32.6 - 10
= 88.27 = 22.6
40.97 - 22.42 + 2.42 72 - 4.4 - 5.6
= 40.97 - ( 22.42 - 2.42) = 72 - (14.74 + 15.26)
= 40.97 - 20 = 72 - 30
= 20.97 = 42
去括号类型
括号前面是“-”号,去括号需要改变括号里面的符号,“-”号变“+”号,
“+”号变“-”号。
195.83 -( 5.83 + 4.38 ) 15.35 -( 6.9 + 5.35 )
= 195.83 - 5.83 - 4.38 = 65.35 - 6.9 - 5.35
= 190 - 4.38 = 65.35 - 5.35 - 6.9
= 185.62 = 60 - 6.9
= 53.1
48.5 - ( 18.5 - 1.78 ) 43.26 - ( 4.09 + 13.26 )
= 48.5 - 18.5 + 40.84 = 43.26 - 8.09 - 13.26
= 30 + 40.84 = 43.26 - 13.26 - 4.09
= 70.84 = 30 - 4.09
= 25.91
43.28 + ( 19.6 + 0.72 ) 47.76 + ( 9.45 - 7.27 )
= 43.28 + 19.6 + 0.72 = 47.76 + 9.45 - 7.27
= 43.28 + 0.72 + 19.6 = 47.76 - 7.76 + 9.45
= 44 + 19.6 = 40 + 9.45
= 63.6 = 49.45
拆补类型(1.01=1+0.01,0.99=1-0.01)
0.9 + 9.9 + 99.9 + 999.9
= (1-0.1) + (10-0.1) + (100-0.1) + (1000-0.1)
= (1 + 10 + 100 + 1000)-(0.14)
= 1111-0.4
= 1110.6
1.1+10.1+100.1+1000.1
= (1+0.1)+(10+0.1)+(100+0.1)+(1000+0.1)
= (1+10+100+1000)+(0.14)
= 1111+0.4
= 1111.4
综合练习
1.计算下面各题,能简算的要简算。
44.16 4.16 3.87 29.3 8.26 5.74 = 29.3 +(8.26+5.74)
= 29.3 + 14
= 43.3
= 40 + 3.87
= 43.87
65.7 35.7 16.91 = 65.7 - 35.7 + 16.22
= 30 + 16.22
= 46.22
2.计算下面各题,能简算的要简算。
20.8+77.2+20.67 29-5.06-2.73 47-6.5+3.9 = 40.1 + 3.9
= 44
= 23.94 -2.73
= 21.21
= 98 + 20.67
= 118.67
3.计算下面各题,能简算的要简算。
44.36+7.85+5.64 102.4-3.57-6.43= 102.4 -(3.57+6.43)
= 102.4 - 10
= 92.4
= 44.36 + 5.64 + 7.85
= 50 + 7.85
= 57.85
5.计算下面各题,能简算的要简算。
41.6+21.9+9.4 101.6-8.47-12.53 = 101.6 -(8.47+12.53)
= 101.6 - 21
= 80.6
= 41.6 + 9.4 + 21.9
= 50 + 21.9
= 71.9
64.98 -(40.98-33.5)= 64.98 - 40.98 + 33.5
= 20 + 33.5
= 53.5
6.怎样简便怎样算。
20.4+4.56-3.98 15.2+20.9+0.1= 15.2 +(20.9 + 0.1)
= 15.2 + 21
= 36.2
= 24.96 - 3.98
= 20.98
119.62+41.8-19.62 81.45-2.85-11.45 = 81.45 -11.45 - 2.85
= 70 - 2.85
= 67.15
= 119.62 - 19.62 + 41.8
= 100 + 41.8
= 141.8
48.67-(18.67+0.9) 60.5+17.5-60.5+12.5 = (60.5-60.5)+(17.5+12.5)
= 0 + 30
= 30
= 48.67 - 18.67 - 0.9
= 30 - 0.9
= 29.1
7.计算下面各题,能简算的要简算。
6.43+3.5+6.5 306.16-10+3.84
= 306.16 + 3.84 -10
= 310 - 10
= 300
= 6.43 +(3.5 + 6.5)
= 6.43 + 10
= 16.43
8.65-2.75+0.75 29.4+7.3-3.8 = 36.7 - 3.8
= 32.9
= 8.65 -(2.75-0.75)
= 8.65 - 2
= 6.65
8.计算下面各题,能简算的要简算。
13.53-0.7+100.3 100-26.25-3.75 = 100 -(26.25+3.75)
= 100 - 30
= 70
= 12.83 + 100.3
= 113.13
81.6-2.35+1.7 5.4+(23.4-0.96) = 5.4 + 22.44
= 27.84
= 79.25 + 1.7
= 80.95
9.计算下面各题,能简算的要简算。
13-5.44-4.56 1.07+0.38+0.93+2.62 = 13 -(5.44+4.56)
= 13 - 10
= 3
= (1.07+0.93)+ (0.38+2.62)
= 2 + 3
= 5
14.65-(3.98+4.65) 26.4-3.78-6.4-6.22 = (26.4-6.4) - 3.78 - 6.22
= 20 -(3.78+6.22)
= 20 - 10
= 10
= 14.6 - 3.98 - 4.65
= 14.6 - 4.65 - 3.98
= 10 - 3.98
= 6.02
10.计算下面各题,能简算的要简算。
27.3+73.2+72.7 43.25-10.4-3.25= 43.25 - 3.25 - 10.4
= 40 - 10.4
= 29.6
= (27.3+72.7) + 73.2
= 100 + 73.2
= 173.2
3.8+1.37+6.2+12.63 76.8-27.4-12.6 = 76.8 -(27.4 + 12.6)
= 76.8 - 40
= 36.8
= (3.8+6.2) + (1.37+12.63)
= 10 + 14
= 24
11.计算下面各题,能简算的要简算。
10 3.4 4.85 25.63 7.47 4.53 = 25.63 -(7.47+4.53)
= 25.63 - 12
= 13.63
= 6.6 - 4.85
= 1.75
6.35 1.8 3.35 7.6 2.5 2.4 1.5 = 6.35 - 1.8 - 3.35
= 6.35 - 3.35 - 1.8
= 3 - 1.8
= 1.2
= (7.6+2.4) + (2.5+1.5)
= 10 - 4
= 6
13.计算下面各题,能简算的要简算。
8.68+5.76+1.32 48.78-0.96-0.04 = 48.78 -(0.96+0.04)
= 48.78 - 1
= 47.78
= (8.68+1.32) + 5.76
= 10 + 5.76
= 15.76
153.83-(53.83+41.38) 129-19.09-0.91 = 129 -(19.09+0.91)
= 129 - 20
= 109
= 153.83 - 53.83 -41.38
= 100 - 41.38
= 58.62
112.86+5.78-2.86 12.72+7.28+0.49+0.21
= (12.72+7.28) + (0.49+0.21)
= 20 + 0.7
= 20.7
= 112.86 - 2.86 + 5.78
= 110 + 5.78
= 115.78
3
学科网(北京)股份有限公司
$第4单元小数的加减简便运算期末专题训练
加法交换律:a+b=b+a
加法结合律:(a+b)+c=a+(b+c)
减法的性质:a-b-c=a-(b+c)
一个数连续减去两个数,等于这个数减去这两个数的和。
考试时,实在想不出用什么简便运算,可以按照运算顺序计算
加法交换律类型/带符号搬家交换位置要连带着数字前的符号一起移动。
6.41+20.79+3.59
8.49+2.3-2.49
=6.41+3.59+3.9
=8.49-2.49+2.3
=10+20.79
=6+2.3
=30.79
=8.3
17.86+5.78-0.86
67.08-8+0.92
=17.86-0.86+5.78
=67.08+0.92-8
=17+5.78
=68-8
=22.78
=60
46.85+4.7-3.85+6.3
27.2+5.18+2.8
=(46.85-6.85)+(14.7+6.3)
=127.2+2.8+5.18
40+21
=130+5.18
=61
=135.18
1
加法结合律类型
224.91-2.37+5.09
113.92+5.04+86.08
=224.91+5.09-2.37
=113.92+86.08+5.64
=230-2.37
=200+5.04
=227.63
=205.04
8.45+4.7+11.55+5.3
(18.45+11.55)+(50.7+59.3)
30+110
=140
减法的性质(添括号)类型:
括号前面是“-”号,添括号需要改变括号里面的符号,“-”号变“+”号,
“+”号变“-”号。
189.27-46.32-54.68
32.6-8.04-1.96
=189.27-(46.32+54.68)
=32.6-(8.04+1.96)
=189.27-101
=32.6-10
=88.27
=22.6
40.97-22.42+2.42
72-4.4-5.6
=40.97-(22.42-2.42)
=72-(14.74+15.26)
=40.97-20
=72-30
=20.97
=42
2
去括号类型
括号前面是“-”号,去括号需要改变括号里面的符号,“-”号变“+”号,
“+”号变“-”号。
195.83-(5.83+4.38)
15.35-(6.9+5.35)
=195.83-5.83-4.38
=65.35-6.9-5.35
=190-4.38
=65.35-5.35-6.9
=185.62
=60-6.9
=53.1
48.5-(18.5-1.78)
43.26-(4.09+13.26)
=48.5-18.5+40.84
=43.26-8.09-13.26
30+40.84
=43.26-13.26-4.09
=70.84
=30-4.09
=25.91
43.28+(19.6+0.72)
47.76+(9.45-7.27)
=43.28+19.6+0.72
=47.76+9.45-7.27
=43.28+0.72+19.6
=47.76-7.76+9.45
=44+19.6
=40+9.45
=63.6
=49.45
拆补类型(1.01=1+0.01.0.99=1-0.01)
0.9+9.9+99.9+999.9
=(1-0.1)+(10-0.1)+(100-0.1)+(1000-0.1)
=(1+10+100+1000)-(0.1×4)
=1111-0.4
=1110.6
1.1+10.1+100.1+1000.1
=(1+0.1)+(10+0.1)+(100+0.1)+(1000+0.1)
(1+10+100+1000)+(0.1×4)
1111+0.4
=1111.4
综合练习
1.计算下面各题,能简算的要简算。
44.16-4.16+3.87
29.3+8.26+5.74
=40+3.87
=29.3+(8.26+5.74)
=43.87
=29.3+14
=43.3
65.7-(35.7-16.91)
=65.7-35.7+16.22
=30+16.22
=46.22
2.计算下面各题,能简算的要简算
20.8+77.2+20.67
29-5.06-2.73
47-6.5+3.9
=98+20.67
=23.94-2.73
=40.1+3.9
=118.67
=21.21
=44
3.计算下面各题,能简算的要简算。
44.36+7.85+5.64
102.4-3.57-6.43
=44.36+5.64+7.85
=102.4-(3.57+6.43)
=50+7.85
=102.4-10
=57.85
=92.4
5.计算下面各题,能简算的要简算。
41.6+21.9+9.4
101.6-8.47-12.53
=41.6+9.4+21.9
=101.6-(8.47+12.53)
=50+21.9
=101.6-21
=71.9
=80.6
64.98-(40.98-33.5)
=64.98-40.98+33.5
=20+33.5
=53.5
6.怎样简便怎样算。
20.4+4.56-3.98
15.2+20.9+0.1
=24.96-3.98
=15.2+(20.9+0.1)
=20.98
=15.2+21
=36.2
119.62+41.8-19.62
81.45-2.85-11.45
=119.62-19.62+41.8
=81.45-11.45-2.85
=100+41.8
=70-2.85
=141.8
=67.15
6
48.67-(18.67+0.9)
60.5+17.5-60.5+12.5
=48.67-18.67-0.9
=(60.5-60.5)+(17.5+12.5)
=30-0.9
=0+30
=29.1
=30
7.计算下面各题,能简算的要简算。
6.43+3.5+6.5
306.16-10+3.84
=6.43+(3.5+6.5)
=306.16+3.84-10
=6.43+10
=310-10
=16.43
=300
8.65-2.75+0.75
29.4+7.3-3.8
=8.65-(2.75-0.75)
=36.7-3.8
=8.65-2
=32.9
=6.65
8.计算下面各题,能简算的要简算。
13.53-0.7+100.3
100-26.25-3.75
=12.83+100.3
=100-(26.25+3.75)
=113.13
=100-30
=70
>
81.6-2.35+1.7
5.4+(23.4-0.96)
=79.25+1.7
=5.4+22.44
=80.95
=27.84
9.计算下面各题,能简算的要简算。
13-5.44-4.56
1.07+0.38+0.93+2.62
=13-(5.44+4.56)
=(1.07+0.93)+(0.38+2.62)
=13-10
=2+3
=3
=5
14.65-(3.98+4.65)
26.4-3.78-6.4-6.22
=14.6-3.98-4.65
=(26.4-6.4)-3.78-6.22
=14.6-4.65-3.98
=20-(3.78+6.22)
=10-3.98
=20-10
=6.02
=10
10.计算下面各题,能简算的要简算。
27.3+73.2+72.7
43.25-10.4-3.25
=(27.3+72.7)+73.2
=43.25-3.25-10.4
=100+73.2
=40-10.4
=173.2
=29.6
8
3.8+1.37+6.2+12.63
76.8-27.4-12.6
=(3.8+6.2)+(1.37+12.63)
=76.8-(27.4+12.6)
=10+14
=76.8-40
=24
=36.8
11.计算下面各题,能简算的要简算。
10-3.4-4.85
25.63-7.47-4.53
=6.6-4.85
=25.63-(7.47+4.53)
=1.75
=25.63-12
=13.63
6.35-(1.8+3.35)
7.6-2.5+2.4-1.5
=6.35-1.8-3.35
=(7.6+2.4)+(2.5+1.5)
=6.35-3.35-1.8
=10-4
=3-1.8
=6
=1.2
13.计算下面各题,能简算的要简算。
8.68+5.76+1.32
48.78-0.96-0.04
=(8.68+1.32)+5.76
=48.78-(0.96+0.04)
=10+5.76
=48.78-1
=15.76
=47.78
153.83-(53.83+41.38)
129-19.09-0.91
=153.83-53.83-41.38
=129-(19.09+0.91)
=100-41.38
=129-20
=58.62
=109
112.86+5.78-2.86
12.72+7.28+0.49+0.21
=112.86-2.86+5.78
=(12.72+7.28)+(0.49+0.21)
=110+5.78
=20+0.7
=115.78
=20.7