Add them up. 90, 91, 92, 93, 94, 95, 96, 98, 99, 100
The result of addition.The answer of all your numbers added up.
The even numbers up to 100 are: 2 468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100.
The first 100 odd natural numbers are the number 1-201, ignoring all even numbers. If you think about this for a moment, you realize that : 1+201 = 202 3+199 = 202 5+197 = 202 etc. With this, you can pair up all of your numbers leaving you with 50 pairs, all equaling 202. Ergo: 50*202 = 10100 is your sum.
It is instructive to note that you can rewrite 1+2+3+4....+99+100 as 1+100+2+99+3+98....+50+51 Then you can group each pair of numbers as (1+100)+(2+99)+(3+98)+...+(50+51) All of these couplets add up to 101, and there are 50 of them. Thus the sum of the first 100 whole numbers is 50x101. This can be calculated at 5,050.
No 5 odd numbers add up to 100. The sum of any two odd numbers is even. The sum of any two even numbers is even. So the sum of any 4 odd numbers must be even. Take that and add an odd number and the sum must be odd. Therefore, the sum of any 5 odd numbers must be odd. 100 is even. In conclusion: The sum of any odd number of odd numbers is odd.
The sum of the first 500 odd numbers is 250,000.
Adding up all the even numbers from the first (2) to the fiftieth (100): [(100 + 2) / 2] x 50 = 2550 Can you see the logic of this method?
Add them up. 90, 91, 92, 93, 94, 95, 96, 98, 99, 100
The sum of the numbers up to 100 is equal to (100 x 101)/2 = 5050
The result of addition.The answer of all your numbers added up.
The result of addition.The answer of all your numbers added up.
The even numbers up to 100 are: 2 468101214161820222426283032343638404244464850525456586062646668707274767880828486889092949698100.
The first 100 odd natural numbers are the number 1-201, ignoring all even numbers. If you think about this for a moment, you realize that : 1+201 = 202 3+199 = 202 5+197 = 202 etc. With this, you can pair up all of your numbers leaving you with 50 pairs, all equaling 202. Ergo: 50*202 = 10100 is your sum.
The prime numbers are 2,3,5,7,11, 13,17,19,23,29, 31,37,41,43,47, 53,59,61,67,71, 73,79,83,89,97. The ones that have a '1' are 11,13,17,19,41,61, and 71. You can add them up!!
They add up to 620
It is instructive to note that you can rewrite 1+2+3+4....+99+100 as 1+100+2+99+3+98....+50+51 Then you can group each pair of numbers as (1+100)+(2+99)+(3+98)+...+(50+51) All of these couplets add up to 101, and there are 50 of them. Thus the sum of the first 100 whole numbers is 50x101. This can be calculated at 5,050.