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“挑战自己!”比一比 看一看 谁的方法最巧妙?①2623×15②3225×56③11×2+1

2022-08-14 02:55:26 问答库 阅读 200 次

问题详情

“挑战自己!”比一比,看一看,谁的方法最巧妙?
①262

3

×1

5


②322

5

×5

6


③1

1×2

+1

2×3

+1

3×4

+…+1

48×49

+1

49×50


④1

12

+1

20

+1

30

+…+1

90

参考答案

(1)2623×15,
=(20+623)×15,
=20×15+203×15,
=4+43,
=163;

(2)3225×56,
=(30+225)×56,
=30×56+125×56,
=25+2,
=27;

(3)11×2+12×3+13×4+…+148×49+149×50,
=(11-12)+(12-13)+(13-14)+…+(148-149)+(149-150),
=11-12+12-13+13-14+…+148-149+149-150,
=1-150,
=4950;

(4)112+120+130+…+190,
=13×4+14×5+15×6+…+19×10,
=13-14+14-15+15-16+…+19-110,
=13-110,
=730.

考点:方法