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John Smith1150
science forum beginner

Joined: 08 Jul 2005
Posts: 36 Posted: Wed Jul 05, 2006 7:00 pm    Post subject: non-decimal arithmetic 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? mensanator@aol.compost
science forum Guru

Joined: 24 Mar 2005
Posts: 826 Posted: Wed Jul 05, 2006 8:30 pm    Post subject: Re: non-decimal arithmetic 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. Mark Spahn

Joined: 07 Jul 2005
Posts: 62 Posted: Wed Jul 05, 2006 8:39 pm    Post subject: Re: non-decimal arithmetic 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" 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? Jim Dars
science forum beginner

Joined: 03 Jul 2005
Posts: 41 Posted: Wed Jul 05, 2006 9:36 pm    Post subject: Re: non-decimal arithmetic "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
21,600 minutes
6.283185 = pi radians
1296000 seconds

An ACRE has
.40468726 hectare
40468726 square centimeters
10 square chains
43560 square feet
6272640 square inches
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 Odysseus

Joined: 05 Jun 2005
Posts: 60 Posted: Thu Jul 06, 2006 6:24 am    Post subject: Re: non-decimal arithmetic 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 John Smith1150
science forum beginner

Joined: 08 Jul 2005
Posts: 36 Posted: Thu Jul 06, 2006 2:02 pm    Post subject: Re: non-decimal arithmetic Jim Dars wrote:
 Quote: "John Smith" 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 jasen
science forum beginner

Joined: 28 Jun 2006
Posts: 16 Posted: Fri Jul 07, 2006 9:34 am    Post subject: Re: non-decimal arithmetic 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.
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