递等式计算(能简算的要简算)89-(118+79)23+67-23+67999.3-998.2+997.3-996.2+…+3.3-2.2+1.3-0.276+1312+2120+3130+4342+

题目简介

递等式计算(能简算的要简算)89-(118+79)23+67-23+67999.3-998.2+997.3-996.2+…+3.3-2.2+1.3-0.276+1312+2120+3130+4342+

题目详情

递等式计算(能简算的要简算)
8
9
-(
1
18
+
7
9

2
3
+
6
7
-
2
3
+
6
7

999.3-998.2+997.3-996.2+…+3.3-2.2+1.3-0.2
7
6
+
13
12
+
21
20
+
31
30
+
43
42
+
57
56
+
73
72
+
91
90
题型:解答题难度:中档来源:不详

答案

(1)class="stub"8
9
-(class="stub"1
18
+class="stub"7
9
),
=class="stub"8
9
-class="stub"1
18
-class="stub"7
9

=class="stub"8
9
-class="stub"7
9
-class="stub"1
18

=class="stub"1
9
-class="stub"1
18

=class="stub"1
18


(2)class="stub"2
3
+class="stub"6
7
-class="stub"2
3
+class="stub"6
7

=(class="stub"2
3
-class="stub"2
3
)+(class="stub"6
7
+class="stub"6
7
),
=0+class="stub"12
7

=class="stub"12
7


(3)999.3-998.2+997.3-996.2+…+3.3-2.2+1.3-0.2,
=(999.3-998.2)+(997.3-996.2)+…+(3.3-2.2)+(1.3-0.2),
=1.1+1.1+…+1.1(500个1.1),
=1.1×500,
=550;

(4)class="stub"7
6
+class="stub"13
12
+class="stub"21
20
+class="stub"31
30
+class="stub"43
42
+class="stub"57
56
+class="stub"73
72
+class="stub"91
90

=1+1+1+1+1+1+1+1+class="stub"1
6
+class="stub"1
12
+class="stub"1
20
+class="stub"1
30
+class="stub"1
42
+class="stub"1
56
+class="stub"1
72
+class="stub"1
90

=8+class="stub"1
2
-class="stub"1
3
+class="stub"1
3
-class="stub"1
4
+…+class="stub"1
9
-class="stub"1
10

=8+class="stub"1
2
-class="stub"1
10

=8class="stub"2
5

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