Numeration Systems

Using Bases

What is base 10?

• Base 10 numeration system groups numbers by 10’s.

• Base 10 is used in classrooms to help students learn place value, addition, subtraction, decimal place, and many more other operations!

• Has anyone seen a system other than base 10 used?

Base Four

Positional Notation

• We know this number is 27 by counting up the units but to write this in positional notation we record the number of flats, longs and units.

• So how could we record this in positional notation?

16 4 4 3

The answer is…..

• Well there is 1 flat, 2 longs and 3 units and we are using a base four system.

• So we record 123 four

16 4 4 3

Virtual Manipulative website

• http://www.mhhe.com/math/ltbmath/bennett_nelson7e/DMK.html?initManip=numerationPieces