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计算过程如下:
3/5+3/11+5/11+11
=3/5+7/5+3/11+11
=10/5+3/11+11
=2+3/11+11
=13又3/11
计算
“4.9+0.1-4.9+0.1”这是小学数学第八册练习二十七第二题中的一道非常简单的常见简便运算题。当我给学生布置了这道题后,我以为学生会毫不犹豫地使用加法交换率和结合率,顺利完成此题,但是当我批改学生的作业时,却发现了以下三种情况:
①4.9+0.1-4.9+0.1=(4.9-4.9)+(0.1+0.1)。
②4.9+0.1-4.9+0.1=4.9-4.9+0.1+0.1。
③4.9+0.1-4.9+0.1=(4.9+0.1)-(4.9+0.1)。
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4/7+1/14-1/2
=8/14+1/14-7/14
=2/14
=1/7
5/3-3/8-5/8
=5/3-(3/8+5/8)
=5/3-1
=2/3
3/5+3/11+7/5+11
=(3/5+7/5)+11+3/11
=2+11+2/11
=13又2/11
3/4-{5/6-1/3}
=3/4-(5/6-2/6)
=3/4-1/2
=3/4-2/4
=1/4
=8/14+1/14-7/14
=2/14
=1/7
5/3-3/8-5/8
=5/3-(3/8+5/8)
=5/3-1
=2/3
3/5+3/11+7/5+11
=(3/5+7/5)+11+3/11
=2+11+2/11
=13又2/11
3/4-{5/6-1/3}
=3/4-(5/6-2/6)
=3/4-1/2
=3/4-2/4
=1/4
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引用新野旁观者的回答:
4/7+1/14-1/2
=8/14+1/14-7/14
=2/14
=1/7
5/3-3/8-5/8
=5/3-(3/8+5/8)
=5/3-1
=2/3
3/5+3/11+7/5+11
=(3/5+7/5)+11+3/11
=2+11+2/11
=13又2/11
3/4-{5/6-1/3}
=3/4-(5/6-2/6)
=3/4-1/2
=3/4-2/4
=1/4
4/7+1/14-1/2
=8/14+1/14-7/14
=2/14
=1/7
5/3-3/8-5/8
=5/3-(3/8+5/8)
=5/3-1
=2/3
3/5+3/11+7/5+11
=(3/5+7/5)+11+3/11
=2+11+2/11
=13又2/11
3/4-{5/6-1/3}
=3/4-(5/6-2/6)
=3/4-1/2
=3/4-2/4
=1/4
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最佳答案的第三题的计算结果有误,结果应为13又3/11
计算过程如下:
3/5+3/11+5/11+11
=3/5+7/5+3/11+11
=10/5+3/11+11
=2+3/11+11
=13又3/11
计算过程如下:
3/5+3/11+5/11+11
=3/5+7/5+3/11+11
=10/5+3/11+11
=2+3/11+11
=13又3/11
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8/9+4/11+1/9=
5/6+3/4-2/3=
11/12-(1/6+1/8)=
11-7/10-3/10=
7/12-(3/4-1/2)=
1/2-(3/4-3/8)=
1/4+2/5-3/10=
5/6-2/3+5/24=
1/2+2/3-2/15=
7/8-(1/2+3/16)=
5/14+3/4+9/14+1/4= 3/10+1/3+1/10=
7/9-(1/6+4/9)=
5/8+1/8-3/10-1/10=
5/9-2/11+4/9=
5/7+1/4=9/14= 5/12+5/18+7/12=
3/8+7/10+5/8=
2-7/9-2/9=
3/10+1/4+2/5=
1-(1/3+3/5)=
2/3+1/6+1/12=
3/4-1/6-1/3=
9/10-1/5-1/2=
4/7+1/6-4/7=
1/4+3/7+1/2=
7/8+1/4+1/2=
5/2 -( 3/2 + 4/5 )
7/8 + ( 1/8 + 1/9 )
5/6 + ( 1/2 + 2/3 )
9/7 - ( 2/7 - 10/21 )
3/7 + 49/9 + 4/7
8/9 + 15/36 + 3/27
5/2 - ( 3/2 + 4/5 )
7/8 + ( 1/8 + 1/9 )
9/7 - ( 2/7 - 10/21 )
1/5 + ( 3/7 + 8/10 )
1/3 + 3/4 + 1/5
3/8 + 8/3 - 1/2
5/6 + 1/12 + 3/4
19/8 - 1/2 - 3/4
7/25 + 3/10 - 2/5
10.8/15 + 7/3- 8/5
14 2/3+1/6+3/24+2/21
5\2-(3\2+4\5)
7\8+1\8+1\9
9\7-(2\7-10\21)
240\400+12\400-150\400
2\3+5\9-2\3+5\9
186\240+88\240+252\240
6\7+2\15+1\7+13\15
8\9+1\4+1\9+3\4
2\3+5\9-2\3+5\9
7/8 + ( 1/8 + 1/9 )
9/7 - ( 2/7 – 10/21 )
1/2+3/4-3/10=19/20
2/9+5/6+1/3=25/18
4/5-3/10+2/3=7/6
1/2-3/4+3/8=1/8
5/6-1/3+3/10=1/5
7/12-5/24+2/3
1/2-1/3-1/6
4/7+5/11+5/7
5/8+2/11+9/11
17/24+5/12-11/24
11/12+1/6-5/24
5/6-5/7+1/6-1/7
4/5-(1/4+2/5)
1-1/4-3/4
5/7+5/9+2/7+4/9
5/6+3/4-2/3=
11/12-(1/6+1/8)=
11-7/10-3/10=
7/12-(3/4-1/2)=
1/2-(3/4-3/8)=
1/4+2/5-3/10=
5/6-2/3+5/24=
1/2+2/3-2/15=
7/8-(1/2+3/16)=
5/14+3/4+9/14+1/4= 3/10+1/3+1/10=
7/9-(1/6+4/9)=
5/8+1/8-3/10-1/10=
5/9-2/11+4/9=
5/7+1/4=9/14= 5/12+5/18+7/12=
3/8+7/10+5/8=
2-7/9-2/9=
3/10+1/4+2/5=
1-(1/3+3/5)=
2/3+1/6+1/12=
3/4-1/6-1/3=
9/10-1/5-1/2=
4/7+1/6-4/7=
1/4+3/7+1/2=
7/8+1/4+1/2=
5/2 -( 3/2 + 4/5 )
7/8 + ( 1/8 + 1/9 )
5/6 + ( 1/2 + 2/3 )
9/7 - ( 2/7 - 10/21 )
3/7 + 49/9 + 4/7
8/9 + 15/36 + 3/27
5/2 - ( 3/2 + 4/5 )
7/8 + ( 1/8 + 1/9 )
9/7 - ( 2/7 - 10/21 )
1/5 + ( 3/7 + 8/10 )
1/3 + 3/4 + 1/5
3/8 + 8/3 - 1/2
5/6 + 1/12 + 3/4
19/8 - 1/2 - 3/4
7/25 + 3/10 - 2/5
10.8/15 + 7/3- 8/5
14 2/3+1/6+3/24+2/21
5\2-(3\2+4\5)
7\8+1\8+1\9
9\7-(2\7-10\21)
240\400+12\400-150\400
2\3+5\9-2\3+5\9
186\240+88\240+252\240
6\7+2\15+1\7+13\15
8\9+1\4+1\9+3\4
2\3+5\9-2\3+5\9
7/8 + ( 1/8 + 1/9 )
9/7 - ( 2/7 – 10/21 )
1/2+3/4-3/10=19/20
2/9+5/6+1/3=25/18
4/5-3/10+2/3=7/6
1/2-3/4+3/8=1/8
5/6-1/3+3/10=1/5
7/12-5/24+2/3
1/2-1/3-1/6
4/7+5/11+5/7
5/8+2/11+9/11
17/24+5/12-11/24
11/12+1/6-5/24
5/6-5/7+1/6-1/7
4/5-(1/4+2/5)
1-1/4-3/4
5/7+5/9+2/7+4/9
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