Dear friends
The answer is
ans 1 : 1 to 9, 2 to 8, 3 to 7, 4 to 6 and 10+5 (add last and middle no.) = 55. That is 4 pair and last no togeter 5 pair + middle no will be the sum
ans 2 : 1 to 9, 2 to 8, 3 to 7, 4 to 6 and 10+5 (add last and middle no.) = 55
ans 3 : 49 Left no is the middle one (50) total sum is 5050
ans 4 : 1 to 199, 2 to 198 ....... 99 to 101, no. of pairs are 99
Regards P.Vinod,
Majan Electricity co.
PB.311, Sohar
PC.286, Oman
Mobile: 99853189
From: Elsie Naval <elsienaval123@yahoo.com>
To: Keralites <Keralites@YahooGroups.com>
Sent: Wed, August 4, 2010 2:02:47 PM
Subject: [www.keralites.net] HELP PLEASE!!!!!
Guys, i need your help...kindly solve this mathematical problem for me. I'm not good in math. Please read and analyze the problem carefully and send me your answers as soon as possible, ok?
~What is the total sum?
Majan Electricity co.
PB.311, Sohar
PC.286, Oman
Mobile: 99853189
From: Elsie Naval <elsienaval123@yahoo.com>
To: Keralites <Keralites@YahooGroups.com>
Sent: Wed, August 4, 2010 2:02:47 PM
Subject: [www.keralites.net] HELP PLEASE!!!!!
Guys, i need your help...kindly solve this mathematical problem for me. I'm not good in math. Please read and analyze the problem carefully and send me your answers as soon as possible, ok?
Legend has it that while in grade school, one of the greatest mathematicians, Carl Friedrich Gauss was able to add the numbers 1 to 100 mentally, Gauss did not add them sequentially, but rather paired 1 with 99, 2 with 98, 3 with 97, and so on.
1.Use a method similar to gauss's to simplify the following:
1+2+3+4+5+6+7+8+9+10.2.How were the associative and commutative laws applied in question 1?
3.Use Gauss's method to find the sum of the first 100 counting numbers:1+2+3...+48+49+50+51+...+97+98+99+100.
~How many pairs of numbers that add up to 100 are there? Is there any number left?~What is the total sum?
4.Find the sum of the first 200 counting numbers. What are the number pairs?
How many pairs will there be? Thanks a lot,
Elsie Naval
www.keralites.net |
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