This document discusses different types of real numbers. There are two main types of real numbers - rational numbers and irrational numbers. Rational numbers can be written as a ratio of two integers and when expressed as decimals are either terminating or repeating. Irrational numbers cannot be written as a ratio of integers and their decimal representations are non-terminating and non-repeating. Some examples of rational numbers given are 16, 1/2, 3.56, -8, 1.3333..., -3/4. Examples of irrational numbers include square roots of non-perfect squares and Pi. Integers are also discussed as being a subset of rational numbers where they are the whole numbers and their opposites.

1. REAL NUMBERS
(as opposed to fake numbers?)

2. Two Kinds of Real Numbers
• Rational Numbers
• Irrational Numbers

3. Two Kinds of Real Numbers
• Rational Numbers
• Irrational Numbers

4. Rational Numbers
• A rational number is a real
number that can be written
as a ratio of two integers.
• A rational number written in
decimal form is terminating
or repeating.

5. Examples of Rational
Numbers
•16
•1/2
•3.56
•-8
•1.3333…
•- 3/4

6. Irrational Numbers
• An irrational number is a
number that cannot be
written as a ratio of two
integers.
• Irrational numbers written as
decimals are non-terminating
and non-repeating.

7. Examples of Irrational
Numbers
• Square roots of
non-perfect
“squares”
• Pi
17

8. Integers
One of the subsets of rational
numbers

9. What are integers?
• Integers are the whole numbers and their
opposites.
• Examples of integers are
6
-12
0
186
-934

10. • Integers are rational numbers
because they can be written as
fraction with 1 as the denominator.

11. Prepared By: Sanyam Gandotra
Class: VIII
Roll NO. 32
(Kendriya Vidyalaya Jyotipuram)