1. REAL
NUMBERS
By Ms. Pourfakhr

2. If you were asked to count, the numbers you’d say are called counting numbers. These numbers can be expressed using set notation.
These are also called the natural numbers.
{1, 2, 3, 4, }
If we include 0 we have the set of whole numbers.
{0, 1, 2, 3, 4, }
{ …, -3, -2, -1, 0,1, 2, 3, }
Include the opposites of the whole numbers and you have the set of integers.

3. Whole numbers are a subset of integers and counting numbers are a subset of whole numbers.
rational numbers
integers
whole numbers
counting numbers
This means to divide one integer by another or “make a fraction”
If we express a new set of numbers as the quotient of two integers, we have the set of rational numbers

4. There are numbers that cannot be expressed as the quotient of two integers. These are called irrational numbers.
REAL NUMBERS
rational numbers
integers
irrational
numbers
whole numbers
counting numbers
The rational numbers combined with the irrational numbers make up the set of real numbers.