1. Rational Numbers and Irrational Numbers

2. We have learnt the following three types of number before…
1. Integers
e.g. 2, 1, 0, -1, -2…
2. Fractions
3. Decimals
e.g. 17.2, 2.147, 0.06, -0.04, -1.83…

3. Decimals
A decimal with a limited number of digits after the decimal point is called a terminating decimal. For example,
A decimal that repeats a digit or a sequence of digits infinitely after the decimal point is called a recurring decimal. For example,

4. In fact, all these types of numbers can be converted into fractions
In fact, all these types of numbers can be converted into fractions. For example:
These numbers are known as rational numbers.

5. Rational Numbers
A rational number is a number which can be expressed as m
(where m , n ,
are
integers,
and n 0) n

6. Follow-up question
Solution

7. Irrational Numbers
These numbers can only be written as non-terminating numbers. They are called irrational numbers.
An irrational number is a number which cannot be expressed as

8. Both rational numbers and irrational numbers can be represented on a number line. For example,
For rational numbers
For irrational numbers

9. Follow-up question
Solution