Unit 2: Arithmetic September 20- October 4 The Rhind Papyrus

 Topic Book Pages Egyptian arithmetic MMC CP 75-80 61-76 Babylonian arithmetic CP 102-108 Vedic multiplication CP handout 243-249 Gelosia multiplication handout

Book codes:  AC=Africa Counts;  MMC=Multicultural Math Classroom;  CP=Crest of the Peacock;  UHN=Universal History of Numbers

Assignment #2.  (final list--due Monday, October 8th)

1. Write the numbers 3,005 and 59 in Egyptian hieroglyphics, then show how the Egyptians would have computed
1. 3,005 + 59
2. 3,005 - 59
2. Compute the following using the Egyptian two-column method.  You need not use hieroglyphics.
1. 69 x 123
2. 312 / 12
3. Compute the following using base 60 arithmetic.  Show your work.  Check your answers by converting to base 10.
1. 21,45  +  3,0,55
2. 30,0,0,5 - 1,20
4. Show how to multiply 238 x 457
1. using the gelosia method
2. using Vedic multiplication
5. Extra credit.  Compute the following using base 60 arithmetic.  Show your work.
1. 43,20 x 51,40
2. 1,0,5  /  7

Sample Test Questions.

You may bring a 5x7 index card with any notes you wish on it.  The test will be about 30 minutes long.

• Several questions will be similar to homework questions.  In particular, you should be able to
• do addition and subtraction problems using Egyptian hieroglyphics.
• do multiplication and division problems using the Egyptian two-column method.
• do addition and subtraction problems in base 60.
• use the gelosia method to multiply two numbers of any size.
• use Vedic multiplication to multiply two- or three-digit numbers.
• There will be a few multiple-choice questions based on lectures and readings.  To help you focus, here are some key concepts we have discussed or will discuss:
• carrying
• borrowing
• decomposing a higher-order unit
• the Distributive Law
• FOIL and how it relates to the Distributive Law
You should be familiar with each concept and able to give an example for each.

Web Resources.

Images are from the MacTutor History of Mathematics Archive (used by permission).

Rachel W. Hall / Department of Math and Computer Science / St. Joseph's University / rhall@sju.edu