iCoachMath
STEM Excellence Series: Empowering the Next Generation
IRRATIONAL NUMBER
Irrational NumberVideo Examples: Pre-Algebra 32 - Irrational Numbers
Definition Of Irrational Number
Irrational numbers are real numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals.
Video Examples: Pre-Algebra 32 - Irrational Numbers
Example of Irrational Number
are few examples of irrational numbers.
Solved Example on Irrational Number
Ques: dentify the irrational number.
Choices:
Correct Answer: C
Solution:
Step 1: The value of 
is 2.4494897427831780981972840747059. . .
Step 2: The value of 
is 5.
Step 3: The value of 3/5 is 0.6.
Step 4: Among the choices given, only is an irrational number.
Quick Summary
- Irrational numbers are non-repeating, non-terminating decimals.
- Examples include √2, √3, π, and e.
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🍎 Teacher Insights
Use visual aids and real-world examples to illustrate irrational numbers. Emphasize the difference between rational and irrational numbers through examples and counterexamples.🎓 Prerequisites
- Real Numbers
- Fractions
- Decimals
- Square Roots
Check Your Knowledge
Q1: Which of the following is an irrational number?
Frequently Asked Questions
Q: Is π (pi) an irrational number?
A: Yes, π is a classic example of an irrational number. Its decimal representation goes on infinitely without repeating.
Q: Can an irrational number be negative?
A: Yes, the negative of an irrational number is also irrational. For example, -√2 is irrational.