Answer:
Adding 1+2+3+4+5+6+7+8+9+10 up one at a time would take some time, calculating each addition, even if for a few seconds, would take half a minute for some people. So, an easier option has been discovered:
Why not make multiple amounts of a certain number, and add them instead? It is a much easier, more fun and faster solution to just adding them all. First, we find the lowest number we can do this with. Some would say 10, as 10 is the lowest number, however that would not work, as we would end with 10 (made of the number 10) X 10 (9 + 1) X 10 (8 + 2 X 10 (7 + 3) X 10 (6 + 4) X … 5? There would still be a five left over, even if the others where all 10’s, which would make 10 X 5 (10 + 10 + 10 + 10 + 10) + 5, easy to do, but wait! Theres yet a faster way! Why not remove the 5 at the end and add it to each of the 10’s, to make an entirely multiple question, quicker and easier to do! This would make 11 X 5 (not using 10’s any more, now 11’s, which still works as 10 + 1 = 11, and 9 + 2 == 11, and so on until 5 + 6 = 11.), without any extra add ons, which is a quick and easy 55. Although it needs multiplication and a little mental work, it proves to be a much faster, and fun, way to solve questions such as that.
Enjoy!
P.s: Some of the other questions would be 1+2+3+4+5…+98+99+100 (adding every number up to 100). The solution would be 101 (100 + 1) + 101 (99 + 2) and so on until + 101 (50 + 51), which would mean adding 50 101’s, or 101 X 50, which any professional multipliers (or calculators) should equal to 5050! (Close to 55, with two 5’s, except this is to 100 not 10, so its two 50’s instead!).
P.p.s: For those wanting a solid formula for this equation, I have gone and found one: S = n(n+1)/2, a neat bit of math that you should try out some time!
Enjoy (again)!!
Step-by-step explanation:
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