Shift exactly 2 matchsticks to another position. What is the largest positive integer than can be formed?

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Details and Assumptions
**
:

- Form a regular number by moving just 2 matchsticks.
- Use of exponents / mathematical signs / tricks is not allowed.
- Rotating / turning the figure is not allowed.
- All digits look like this: (for clarifying the shape of digits)

The answer is 511108.

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Now what would the answer be if you can shift exactly 3 matchsticks instead?

Well, using the "digital" clock shape for digits imply that the spacing should be preserved, i.e. 4 digits only. It's like when your old digital clock or calculator display 11, they still occupy two full spaces. So following that logic, the biggest number would be 9909

Muhammad Hegab
- 5 years, 12 months ago

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my answer is 9909 too

Evan Glori
- 5 years, 8 months ago

Unfortunately, you are mistaken. Let say the spacing (like you said) you can move the top right and bottom left matchstick from the number 8. Then just add it to the ending giving us 50,051.

Michelle Pimentel
- 5 years, 10 months ago

I agree, 9909.

Sandro De Marco
- 5 years, 7 months ago

9909 not 9999

Manzur Rahman Ruddro
- 5 years, 11 months ago

I believe too

Renz Gamorot
- 5 years, 8 months ago

In fact, following that rules the maximum number is 15005 Is move two sticks of the 8 and make an 1

Sergio Alejandro Acelas Avila
- 5 years, 7 months ago

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Wouldn't the max, following those rules be, 151105

Jesse Stuart
- 5 years, 5 months ago

Same here, 9909

Debmeet Banerjee
- 5 years, 7 months ago

i agree too

Vishwash Kumar ΓΞΩ
- 4 years, 8 months ago

that is what i felt as well..

Nithin Nithu
- 5 years, 7 months ago

No it would be 15003 then

Archit Boobna
- 5 years, 11 months ago

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No, 50031, You put number 1 to the right ;)

Anh Vu
- 5 years, 11 months ago

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@Anh Vu – You can make a 5 rather than a 3 to get 50051

Krishna Sivasamy
- 5 years, 11 months ago

then why not 51003? it is more preferable..

Optimum Rakib
- 5 years, 8 months ago

i did it the same way

uttkarsh kohli
- 5 years, 11 months ago

then it would be 91188 if spacing is same!!

shuvam keshari
- 5 years, 9 months ago

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You can also make 98118 in the same way, which is larger.

Ivaylo Belev
- 5 years, 7 months ago

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@Ivaylo Belev – oh! yes! thanks!

shuvam keshari
- 5 years, 7 months ago

@Ivaylo Belev – 98118 is not greater than 511108 !!

Nikhil Gautam
- 5 years, 7 months ago

No, it would be 50051 (take two matches from the right-side 0 and make a one to the right of that).

John Kievlan
- 5 years, 8 months ago

How would you get 9909 only shifting two matchsticks? You use one up turning the 5 into a 9, so how could you change 3 more integers moving just one matchstick?? Or were you doing the follow-up question, which allowed three moves? But you still couldn't do that with only 3 either, I don't think.

I think that, if we're preserving the 4-digit place structure, the max is 9800.

Sandra Shill
- 5 years, 11 months ago

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Dear Sandra, this is how u get 9909. Shift the stick of second digit to convert 0 to 9. Shift the stick of last digit 8 (making it 9) to first digit converting 5 to 9.

Satyen Nabar
- 5 years, 11 months ago

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@Satyen Nabar – But 9s don't have a horizontal line at the bottom!

Sandra Shill
- 5 years, 11 months ago

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@Sandra Shill – Dear Sandra, the question posed has a crystal clear guideline about how the digits should appear !

Satyen Nabar
- 5 years, 11 months ago

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@Satyen Nabar – Sorry - you're right...I didn't see that part of the guidelines. Thanks! :)

Sandra Shill
- 5 years, 11 months ago

by moving the bottom left stick of the last digit to the first digit, you can produce two nines. You then only need to rotate the bottom left stick of the 2nd digit to the mid-horizontal position of the 2nd digit to make your 3rd.

Travis James
- 5 years, 11 months ago

it can be 9803

Katherine Hong
- 5 years, 11 months ago

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@Katherine Hong – ??? What do you mean "write a comment or ask a question"? I'm all set now, thanks.

Sandra Shill
- 5 years, 11 months ago

I agree with Sandra!

Gwen Roberts
- 5 years, 11 months ago

oh dang, I thought we could only have 4 digits :\

Daniel Liu
- 5 years, 12 months ago

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Even I was tricked. So to obtain satisfaction , I created this problem . Hope you also get satisfied :) :) :)

Nihar Mahajan
- 5 years, 11 months ago

**
In response to Challenge Master:
**
Is the required number
$911109$
?

Nihar Mahajan
- 5 years, 12 months ago

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**
In response to Challenge Master:
**
?

Archit Boobna
- 5 years, 11 months ago

It probably is.

Xiaoying Qin
- 5 years, 5 months ago

Throws the spacing off though by creating that number.

Kevin Lowe
- 5 years, 12 months ago

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511081 just would be cleaner

Kevin Lowe
- 5 years, 12 months ago

I didn't know I could add numbers in the middle and I got 511081. I think I deserve it. Please reply on your thoughts about preserving spacing.

Shubham Bhargava
- 5 years, 10 months ago

this is the right answer of shift 3 sticks 911109

Md Salik Tamanna
- 5 years, 12 months ago

Not specified how many digits. It should practically be 4 hence making the answer 9909.

Varun Parkash
- 5 years, 11 months ago

The fair solution is 9909 :)

Zlatozar Zlatev
- 5 years, 10 months ago

tell me why ??? I just think It must have 4 digits :((

Phuong Nguyen
- 5 years, 10 months ago

Isn't creating new spaces considered a trick? You said no tricks. Anyways it's still a great question 👍

Feras Muki
- 4 years, 11 months ago

For three matchsticks would the biggest number be 911109?

King De Jesús
- 5 years, 7 months ago

Too much fun, this one.

Robert Lucas
- 5 years, 7 months ago

Very nice and easy question @satyen nabar Sir, Please keep posting!

Swapnil Das
- 5 years, 12 months ago

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Tx Swapnil :)

Satyen Nabar
- 5 years, 12 months ago

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Try this .

Nihar Mahajan
- 5 years, 12 months ago

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@Nihar Mahajan – Thanks! for making my Brain Exercise.

Swapnil Das
- 5 years, 12 months ago

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@Swapnil Das – Do like and reshare it (if possible). Thanks.

Nihar Mahajan
- 5 years, 12 months ago

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@Nihar Mahajan – Sure! oh.. I have one try left!

Swapnil Das
- 5 years, 12 months ago

@Nihar Mahajan – Tx. Solved it. Nice Nihar..

Satyen Nabar
- 5 years, 12 months ago

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@Satyen Nabar – Here's a big smile: $\huge \ddot\smile$ .

Nihar Mahajan
- 5 years, 12 months ago

@Satyen Nabar – Sir Can you please post some more logic problems?

Swapnil Das
- 5 years, 12 months ago

it was really nice... :D

Rishabh Tripathi
- 5 years, 12 months ago

911180 by shifting 1 stick from 5 and by moving one stick from 8 to 0

Kartik Bhalla
- 5 years, 11 months ago

i thought it would be 4 digit

Manzur Rahman Ruddro
- 5 years, 11 months ago

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Yes, I has to be 4 digit n answer 9909 by moving just 2 sticks

lopamudra Bhattacharyya
- 5 years, 8 months ago

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It doesnt sy anywhere that it has to be 4 digits... you made that up yourself

King De Jesús
- 5 years, 7 months ago

I'd move only one match and make it the largest possible value. I'd take the one in the middle of number 8 to make it 0, and put it in between the 2nd 0 and the new 0 like a slash that indicates division. The result: 500/0 = infinity haha

Anh Vu
- 5 years, 11 months ago

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Use of mathematical signs is not allowed.

Nihar Mahajan
- 5 years, 11 months ago

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Oh dang it. Ok.

Anh Vu
- 5 years, 11 months ago

Aside from the other comments, 500/0 is not infinity. Why? Because multiplication is the inverse of division. If 500 / 0 = infinity, then: infinity * 0 = 500. Yet, that is not the case. Therefore, 500 / 0 = undefined, not infinity.

John Kievlan
- 5 years, 8 months ago

911109 That would have been the answer, If we could move 3 matches

Kautilya Katiha
- 5 years, 11 months ago

911109 in response to challenge master note

Akash singh
- 5 years, 10 months ago

3 matchsticks? 911109

Kelvin Williams
- 5 years, 8 months ago

I thought when it said no Rotating / turning it was referring to the matches as well. So vertical matches had to stay vertical.

Elijah Foster
- 5 years, 8 months ago

In this suposed correct answer you have rotated the match , It was not allowed . In my opinion the correct is 9900 using exactly the vertical and horizontal matches

Otávio Silveira
- 5 years, 8 months ago

its 9909 occupying the same number of digits

Garima Misra
- 5 years, 8 months ago

911100

what i think so it could be

Ramneek Singh
- 5 years, 8 months ago

You say that rotating is not allowed :v so how can you form the above picture

Jackie Nguyen
- 5 years, 7 months ago

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I believe you can rotate individual matchsticks, just not entire numbers

Sebastian Reilly Johnson
- 5 years, 7 months ago

My answer to the 3 matches questions is 911109

Bebo Nabil
- 5 years, 7 months ago

911109 will be the answer if exactly 3 matchsticks were shifted.

Rishabh Singh
- 5 years, 7 months ago

I think 500^5 = 31250000000000 .

Prasit Sarapee
- 5 years, 7 months ago

I DON'T BELIEVE THIS...it's pressuring cause it's too deep to analyze!

John Marlo Antang
- 5 years, 7 months ago

for the second piece of the puzzle can you be a bit more specific than in the first one? shift three from the original setup up or from 511108. be specific!

Ja Rok
- 5 years, 6 months ago

Good Problem! Didn't thought about increasing the number of digits.

Rushikesh Jogdand
- 5 years, 1 month ago

AAAAAAARGH!!! Got 511081 on my third iteration!!! How could I?!

Sasha Chabanov
- 4 years, 10 months ago

Another answer is 811105...point of view...

4 Helpful
0 Interesting
0 Brilliant
0 Confused

Yes but the creator of this puzzle mentioned that we need to do it without rotating the figure

Details and Assumptions:

Rotating / turning the figure is not allowed.

Omar Sehlouli
- 4 years, 4 months ago

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