Download Real Numbers lesson (blog)

The set of real numbers consists of the set of
rational numbers and the set of irrational numbers.
Real Numbers
Rational numbers
Integers
Whole
numbers
Natural
numbers
Irrational numbers
Real Numbers
Rational numbers Irrational numbers
can be expressed
cannot be
as a ratio of 2
expressed as a
integers.
ratio of 2 integers.
Rational numbers Irrational numbers
include:
include:
• Terminating
• Non-terminating
decimals;
decimals;
• Repeating
• Non-repeating
decimals; and
decimals; and
• perfect squares. • Non-perfect
squares.
Imaginary numbers (i)
∞
5
0
7
Example 1: Classifying Real Numbers
Write all names that apply to each number.
A.
5
5 is a whole number.
rational, real
B. –12.75 –12.75 is a terminating decimal.
rational, real
C.
16
2
simplified as 8 is a whole number.
Natural, whole, integer, rational, real
Example 2
Write all names that apply to each number.
A.
0
3
0
=0
3
Whole, rational
B.
C.
𝞹
irrational, real Non-terminating, non repeating decimal.
1.257248…
Irrational, real
Non-terminating, non repeating decimal.