Sets of Real Numbers
Natural Numbers
•{1,2,3,4,5,6,…}
Counting Numbers
Natural
Numbers
Whole Numbers
•{0,1,2,3,4,5,6,…}
Natural numbers + 0
Wholes
Natural
Numbers
Integers
• {…,-4,-3,-2,-1,0,1,2,3,4,5,6,…}
Whole numbers and their negatives.
Integers
Wholes
Natural
Numbers
Rationals
• {…,-3 ,-2 ,-
3
2
1
2
4
3
,-1 ,0 , , 1 , , 2 , 3 , 4 , 5,…}
Can write as fraction
Rationals
Integers
Wholes
Natural
Numbers
Irrationals
• {…, 3 , e , π ,…}
Cannot write as fraction
Rationals
Integers
Wholes
Natural
Numbers
Irrationals
Real Numbers
any number on the number line
• {…,-3 ,-2 ,-
3
2
1
2
4
3
,-1 ,0 , , 2, 3 , 1 , , 2 , 3 ,…}
Reals
Rationals
Integers
Wholes
Natural
Numbers
Irrationals