Number Jumping (notes)

This note came from https://brilliant.org/practice/number-jumping-i/?chapter=gcd-and-lcm and if you don’t understand what the math behind it means, this is the note you’re looking for. I recommend to click the link and finish the quiz before coming back.

Example:
Ryan has two numbers; 9 and 14. He can add 9 or subtract 9. He can also do the same with 14. Can he get to any number he wanted with just those two numbers (including negative just for fun)?

This problem is relatively easy, if you know how to solve it. All you need to do is find the G.C.D. (A.KA. Greatest Common Divisor). 9 has factors of 1, 3, and 9. 14 has factors of 1, 2, 7, and 14. The G.C.D. Of 9 and 14 is 1, so:
Yes, Ryan can reach any number he wanted (again, including negative).

Still confused, well here’s a simple math equation to clear up confusion:
(9x3) - (14x2) = 1

The same thing can be done for negative numbers:
(9x-3) + (14x2) = -1

And from there, you can add or subtract -1 to -1 continuously, and you will cover up all the numbers. the opposite is also true with 1.

Now you can use that knowledge to solve my sequel quiz to this note:
https://brilliant.org/problems/number-jumping-a-follow-up-problem-to-number/

P.S.: If I can reach #10 or higher on new quizzes, then I will post a not about Python followed by a quiz about it a few days after. (not the giant snake Apollo slain at least 2 times already) (the coding language). Also, it’s in the new section as well as the number theory section.

Note by Ash Ketchup
4 months, 4 weeks ago

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1 vote

  Easy Math Editor

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Comments

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If you can’t seem to get into the link, just copy and paste it.

Ash Ketchup - 4 months, 4 weeks ago

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Also, I will know if the problem is #10+ on popular, because I will check every day.

Ash Ketchup - 4 months, 4 weeks ago

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Kidding right? Like and sub!

Ash Ketchup - 4 months, 3 weeks ago

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Bincky will not know how to solve this: I got bincky from Percy jackson

Ash Ketchup - 4 months, 3 weeks ago

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Hello there, are you the person who just happened to have said my name?

A Former Brilliant Member - 4 months, 3 weeks ago

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Do you know the book?

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup No offense

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Why would I be offended?

A Former Brilliant Member - 4 months, 3 weeks ago

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@A Former Brilliant Member Well Percy Jackson is kind of a cartoon to me but I still like reading it

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Cartoon lol 😆😆😆😆😆😆😆😆😆

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Yes I do. What do you mean by 'bincky'?

A Former Brilliant Member - 4 months, 3 weeks ago

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@A Former Brilliant Member Biancia

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup I mean the character

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup That kinda died because of Peter johnson

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Umm ‘Peter jhonson?’

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup ‘Peter Johnson

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup A.K.A. Percy Jackson or as Dionysus would put it, “Whatever...”

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Percy jackson

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Wat pahry

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup Nevermind...

Ash Ketchup - 4 months, 3 weeks ago

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I believe the answers to the "math equation" examples were switched. The first equals 1-1, the second, 11.

Very clever solution!

David Stiff - 4 months, 3 weeks ago

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@David Stiff oh okay I will correct it immediately

Ash Ketchup - 4 months, 3 weeks ago

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Thanks for pointing out the mistake

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup No problem!

David Stiff - 4 months, 3 weeks ago

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@David Stiff David Stiff - 2 days, 5 hours ago

Ash Ketchup - 4 months, 3 weeks ago

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@Ash Ketchup :)

David Stiff - 4 months, 3 weeks ago

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@David Stiff Lol

Ash Ketchup - 4 months, 3 weeks ago

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