it is actually easier to count to 100 using you fingers and the base 10 than it is to count to 35 using a base 6
How? How would you represent, say, 25?
it is actually easier to count to 100 using you fingers and the base 10 than it is to count to 35 using a base 6
[reallly stupid and probably missing something obvious alert]I've always wondered about this - surely if fingers were to be used optimally then base 6 would be best - using one hand as single digit and other hand as second 'base' digit (i.e. the '1' in 18) then you could count up to 35 easily, rather than just the standard 10.
That doesn't rule out the possibility that the reason it "caught on" was because it's so useful being able to count on 10 fingers. Which is pretty much the same thing as saying that is why we use base 10.
Not to mention base 21, if you include guineas.
By the same logic, we also had bases 14 and 16 for weight (stones, pounds and ounces), and an assortment for length (8, 3 and 12, off the top of my head).
[reallly stupid and probably missing something obvious alert]
How? I can only work how to get to 30 that way.
[/really stupid and probably missing something obvious alert]
Quick somewhat off-topic question, in Denmark do you use radians, gradians, or degrees for the angles? For the directions, do you use azimuths or bearings?
16ths *16 -> inches *12 -> feet *3 -> yards *22 -> chain *10 -> furlong *8 -> mile
metre *10^n -> whatever
How? How would you represent, say, 25?
Um, lets see 2 fingers down = 20, five fingers = 25
Try holding both hands up in front of your face fingers spread out and straight.
Now count the fingers(thumbs included) should be able to make ten out of that.
Now you know you have 10 fingers, am I correct in assuming you can get that far?
Now you can simply use a thumb and forefinger for 20 and the other hand is 5.
But lets go with someone who can't remeber past 2 seconds...
Start as above and count now fold your thumb for 10 and count again (counting your thumb). Now fold your index finger (congradulations you can count to 20). Now count to five and you get to 25.
I've always counted to ten on one hand in a way that I was shown on Sesame Street far too many years ago. You count to five by successively raising fingers - index first, thumb last. For six you touch your thumb to your forefinger, for seven your thumb to your middle finger, for eight your thumb to your ring finger, for nine your thumb to your pinkie, and for ten you raise just your thumb.
If you want to add the other hand, you can use it for the tens digit in the same way - you will omit the raising of the thumb to count ten. For twenty nine, it's the index and middle finger of the left hand, and the thumb touching the pinkie of the right. Thirty is the first three fingers of the left and none of the right. Thus you can count up to 99 on two hands (thumbs touching pinkies of both hands).
Check your fingers, I can get to 1023Using binary, you can count up to thirty one on one hand, and up to 1021 on two.