12008+22008+32008+…+72008=______;2.008×390+20.08×41+200.8×2=______;2009×412008=______;21×3+23×5+25×7

题目简介

12008+22008+32008+…+72008=______;2.008×390+20.08×41+200.8×2=______;2009×412008=______;21×3+23×5+25×7

题目详情

1
2008
+
2
2008
+
3
2008
+…+
7
2008
=______;
2.008×390+20.08×41+200.8×2=______;
2009×
41
2008
=______;
2
1×3
+
2
3×5
+
2
5×7
+…+
2
97×99
=______.
题型:解答题难度:中档来源:不详

答案

class="stub"1
2008
+class="stub"2
2008
+class="stub"3
2008
+…+class="stub"7
2008

=class="stub"1
2008
×(1+2+3+4+5+6+7),
=class="stub"1
2008
×28,
=class="stub"7
502


②2.008×390+20.08×41+200.8×2,
=2.008×390+2.008×410+2.008×200,
=2.008×(390+410+200),
=2.008×1000,
=2008;

③2009×class="stub"41
2008

=(2008+1)×class="stub"41
2008

=2008×class="stub"41
2008
+class="stub"41
2008

=41+class="stub"41
2008

=41class="stub"41
2008


class="stub"2
1×3
+class="stub"2
3×5
+class="stub"2
5×7
+…+class="stub"2
97×99

=class="stub"3-1
1×3
+class="stub"5-3
3×5
+class="stub"7-5
5×7
+…+class="stub"99-97
97×99

=1-class="stub"1
3
+class="stub"1
3
-class="stub"1
5
+class="stub"1
5
-class="stub"1
7
+…-class="stub"1
97
+class="stub"1
97
-class="stub"1
99

=1-class="stub"1
99

=class="stub"98
99

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