Rational Numbers As Well As Irrational Numbers

Objective: To position rational numbers together with irrational numbers

Points for Discussion:

1. Numbers which tin cease live on expressed inward the bird p/q, q is non equal to 0, where p together with q are integers are called rational numbers.
2. Decimal representation of rational numbers is either terminating or non-terminating together with repeating.
3. All natural numbers are rational numbers together with non vice versa.
4. All whole numbers are rational numbers together with non vice versa.
5. All integers are rational numbers together with non vice versa.
6. Numbers which cannot live on expressed inward the bird p/q, q is non equal to 0, where p together with q are integers are called irrational numbers.
7. Decimal representation of irrational numbers is non terminating together with non repeating.

Examples of rational numbers:

1, 2, 3, 4, ….

0

-1, -2, -3, …..

1/3, -11/3

1.3, 2.65, 3.56785678

3.56785678……, 1.1111…..

Examples of irrational numbers

Cube beginning of 3, Square beginning of 5

1.010010001……

2.312331233312……

Pi

Points for reinforcement:

• 22/7 is non an irrational number. It is a rational number. Observe the numerator is 22, which is an integer together with the denominator is seven which is equally good an integer.
• 0.10110111  is non an irrational position out equally it is a terminating decimal.
• 0.10110111…. is an irrational position out because it is a non terminating together with non repeating decimal.