Rational Numbers As Well As Irrational Numbers
Wednesday, November 6, 2019
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Objective: To position rational numbers together with irrational numbers
Points for Discussion:
- 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.
- Decimal representation of rational numbers is either terminating or non-terminating together with repeating.
- All natural numbers are rational numbers together with non vice versa.
- All whole numbers are rational numbers together with non vice versa.
- All integers are rational numbers together with non vice versa.
- 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.
- 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.