MathU201 Worksheet #1

January 4, 2005 Professor Gilmore

The Mesopotamian Number system

1 Express the following numbers in base 60:

a. 10,000 =

b. 100,000 =

c. 1234 =

d. 12,345 =

e. 123,456 =

2. Express the following fractions in sexagesimal notation:

a. 1/6 =

b. 1/9 =

c. 1/5 =

d. 1/24 =

e. 1/40 =

f. 5/12 =

3. Multiply the sexagesimal number 12, 3; 45, 6 by 60. Give a simple rule for multiplying any sexagesimal number by 60 and by 3600.