What is number System?
A number system defines a set of values used to represent
quantity.
Quantifying values and items in relation to each other is helpful
for us to make sense of our environment.
The Decimal Number System
•The primary number system used is a base ten number
system.
•Base ten number systems are called decimal number
systems. - ten numerals, 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Example:
9735 = (9 * 103
) + (7 * 102
) + (3 * 101
) + (5 * 100
). General Rule of Number Representation
A number with a decimal point is represented by a series
of coefficients:
a5
a4
a3
a2
a1
a0
. a
-1a
-2a
-3
a
j
: the coefficients
Subscript j : the place value
In decimal (base 10): The coefficients aj
are any of the 10 digits 0,
1, 2, 3, 4, 5, 6, 7, 8, 9
