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non-decimal arithmetic
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John Smith1150
science forum beginner


Joined: 08 Jul 2005
Posts: 36

PostPosted: Wed Jul 05, 2006 7:00 pm    Post subject: non-decimal arithmetic Reply with quote

Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?
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mensanator@aol.compost
science forum Guru


Joined: 24 Mar 2005
Posts: 826

PostPosted: Wed Jul 05, 2006 8:30 pm    Post subject: Re: non-decimal arithmetic Reply with quote

John Smith wrote:
Quote:
Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?

You can think of time as the mixed radix 24:60:60.
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Mark Spahn
science forum addict


Joined: 07 Jul 2005
Posts: 62

PostPosted: Wed Jul 05, 2006 8:39 pm    Post subject: Re: non-decimal arithmetic Reply with quote

Offhand I can think of: clock arithmetic (modulo 12 or 24),
calculations in non-decimal units (pounds, shillings, pence;
8 ounces/cup, 2 cups/pint, 4 quarts/gallon). Also, many
scientific calculators allow addition and subtractions of
hour-minute-second (or degree-minute-second) quantities
(base 60).
-- Mark Spahn

"John Smith" <JSmith@mail.net> wrote in message
news:F%Tqg.122833$iF6.90874@pd7tw2no...
Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?
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Jim Dars
science forum beginner


Joined: 03 Jul 2005
Posts: 41

PostPosted: Wed Jul 05, 2006 9:36 pm    Post subject: Re: non-decimal arithmetic Reply with quote

"John Smith" <JSmith@mail.net> wrote in message
news:F%Tqg.122833$iF6.90874@pd7tw2no...
Quote:
Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?

Hi John,

A CIRCLE has
360 degrees
400 grades
21,600 minutes
4 quadrants
6.283185 = pi radians
1296000 seconds

An ACRE has
.40468726 hectare
40468726 square centimeters
10 square chains
43560 square feet
6272640 square inches
100000 square links
4046.8726 square meters
.0015625 square miles
40968726*10^6 square millimeters
160 square rods
4840 square yards

You might assign members of the class to investigate the relationships for

DENSITY MEASURE
Grams per cubic centimeter, Kilograms per cubic meter,, Pounds per cubic
Foot,
Pounds per cubic inch,Pounds per cubic Yard, Pounds per US Liquid Gallon,
Long Tons per Cubic Yard, Metric Tons per Cubic Meter, Short Tons per cubic
Yard

In Addition there are numerous measures for
ELECTRICAL
ENERGY
FLOW
FORCE
LENGTH
MASS
POWER
PRESSURE
TIME
VELOCITY
AND VOLUME

If available try a little book I purchased some 54 years ago for $1.50.

Handbook of Conversion Factors
by Marvin H. Green

Best wishes, Jim
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Odysseus
science forum addict


Joined: 05 Jun 2005
Posts: 60

PostPosted: Thu Jul 06, 2006 6:24 am    Post subject: Re: non-decimal arithmetic Reply with quote

In article <F%Tqg.122833$iF6.90874@pd7tw2no>,
John Smith <JSmith@mail.net> wrote:

Quote:
Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?

"New Math" (chorus):

"Hooray for new math!
New-ew-ew math--
It won't do you a bit of good to review math--
It's so simple,
So very simple,
That only a child can do it."

--Tom Lehrer, _That Was The Year That Was_, 1965

--
Odysseus
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John Smith1150
science forum beginner


Joined: 08 Jul 2005
Posts: 36

PostPosted: Thu Jul 06, 2006 2:02 pm    Post subject: Re: non-decimal arithmetic Reply with quote

Jim Dars wrote:
Quote:
"John Smith" <JSmith@mail.net> wrote in message
news:F%Tqg.122833$iF6.90874@pd7tw2no...

Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?


Hi John,

A CIRCLE has
360 degrees
400 grades
21,600 minutes
4 quadrants
6.283185 = pi radians
1296000 seconds

An ACRE has
.40468726 hectare
40468726 square centimeters
10 square chains
43560 square feet
6272640 square inches
100000 square links
4046.8726 square meters
.0015625 square miles
40968726*10^6 square millimeters
160 square rods
4840 square yards

You might assign members of the class to investigate the relationships for

DENSITY MEASURE
Grams per cubic centimeter, Kilograms per cubic meter,, Pounds per cubic
Foot,
Pounds per cubic inch,Pounds per cubic Yard, Pounds per US Liquid Gallon,
Long Tons per Cubic Yard, Metric Tons per Cubic Meter, Short Tons per cubic
Yard

In Addition there are numerous measures for
ELECTRICAL
ENERGY
FLOW
FORCE
LENGTH
MASS
POWER
PRESSURE
TIME
VELOCITY
AND VOLUME

True, but calculations involving these units are still normally
done in base 10. Actually, our wider discussion was within the
context of the "teach 'em mathematical concepts" vs. "teach 'em
computation" debate. I guess you can see which side I'm on.

Quote:

If available try a little book I purchased some 54 years ago for $1.50.

Handbook of Conversion Factors
by Marvin H. Green

I wonder what it costs now. :-)

Quote:

Best wishes, Jim


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jasen
science forum beginner


Joined: 28 Jun 2006
Posts: 16

PostPosted: Fri Jul 07, 2006 9:34 am    Post subject: Re: non-decimal arithmetic Reply with quote

On 2006-07-05, John Smith <JSmith@mail.net> wrote:
Quote:
Teaching arithmetic to grade-schoolers involves teaching them to
do calculations in bases other than decimal. This gave rise to a
discussion about the real-world usefulness of non-decimal
arithmetic. Except for its applications in computer science, we
couldn't think of any. Can you?

how about doing calculations ivolving ,time (in hours minutes, an seconds)
dates and other non-SI units.

Bye.
Jasen
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