How to solve ?

👨🏻‍🏫 學術台數學

[匿名]

2009-01-24 6:26 am

How to prove the result is zero without using a calculator?
2005 x 200620062006 - 2006 x 200520052005 = 0

更新1:

200620062006/2006=100 010 001 200520052005/2005=100 010 001 can't understand, please explain, thanks!

回答 (3)

myisland8132

2009-01-24 6:33 am

✔ 最佳答案

2005 x 200620062006 - 2006 x 200520052005
=2005 x 2006[100 010 001 - 100 010 001]
=2005 x 2006 x 0
=0

2009-01-23 22:33:35 補充：
200620062006/2006=100 010 001
200520052005/2005=100 010 001

2009-01-24 02:41:35 補充：
用簡單的長除法罷了

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涼宮ハルヒ

2009-01-26 1:56 am

2005 x 200620062006 - 2006 x 200520052005
= 2005 x (2006 x 100010001) - 2006 x (2005 x 100010001)
This step is to divide 200620062006 and 200520052005 into a smaller number.
= 2005 x 2006 x 100010001 - 2005 x 2006 x 100010001
This step is to rearrange the second term in order to let you see that they're the same.
= 0

參考: myself

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Jeffrey

2009-01-25 8:44 pm

2005 x 200620062006 - 2006 x 200520052005

=2005 x 2006[100 010 001 - 100 010 001]

=2005 x 2006 x 0

=0
hope i can help you

2009-01-25 12:45:05 補充：
Sorry,
2005 x 200620062006 - 2006 x 200520052005

=2005 x 2006(100 010 001 - 100 010 001)

=2005 x 2006 x 0

=0
hope i can help you

參考: mememe

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收錄日期: 2021-04-26 13:06:26
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