Sunday, April 18, 2010

Far out of the box

This is a far out one. I didn't make it up.
I read it in a kid's math book.
I didn't know. The answer caught me by surprise.

When does 5 + 3 = 1?

17 Comments:

Blogger Eketahuna said...

When your mathematics is rubbish ? :-)

April 18, 2010 4:42 PM  
Blogger Eketahuna said...

Or when you are using base 7 and only have 1 digit to store the result ...

April 18, 2010 4:43 PM  
Blogger Eketahuna said...

5 pails of paint + 3 toddlers = 1 big mess

April 18, 2010 5:18 PM  
Blogger Eketahuna said...

5 gills + 3 gills = 1 quart

April 18, 2010 5:26 PM  
Blogger Eketahuna said...

or 5 pints + 3 pints = 1 gallon

April 18, 2010 5:28 PM  
Blogger Ragknot said...

Good tries, and maybe as good as the book's answer. I don't think anyone will get the book's answer without a clue.

Thursday

April 18, 2010 6:42 PM  
Blogger Ragknot said...

Base 7 was very close

April 18, 2010 6:44 PM  
Blogger Ross said...

"mod 7" is what they usually call that base-seven-one-digit system.

And the gills/quarts and pints/gallons examples are instances of base eight arithmetic, where the "=1" really means "=10 base 8".

April 18, 2010 6:44 PM  
Blogger Ragknot said...

Ross?

What familiar system uses base 7?

April 18, 2010 7:03 PM  
Blogger Eketahuna said...

days = 1 week

April 18, 2010 7:05 PM  
Blogger Eketahuna said...

Oops, days = 1 week, with 1 day left over so days = days

April 18, 2010 7:05 PM  
Blogger Ragknot said...

Close enough Eke,

The fifth day plus 3 days is the first day.

The book said Thursday plus 3 days is Sunday (the first day).

The week is the only "familiar" base 7 that I can think of. Did the clue of "Thursday" help?

April 18, 2010 7:11 PM  
Blogger Eketahuna said...

This post has been removed by the author.

April 18, 2010 7:11 PM  
Blogger Eketahuna said...

Yes it did, thanks :-)

April 18, 2010 7:12 PM  
Blogger Ragknot said...

A very strange Tom, I must say.

April 18, 2010 7:15 PM  
Blogger Eketahuna said...

A good way to start a Monday morning though !

April 18, 2010 7:32 PM  
Blogger Will said...

5*0=0
3*0=0
5*0=3*0
5=3
working by this logic all numbers are the same

May 1, 2010 4:57 PM  

Post a Comment

Links to this post:

Create a Link

<< Home