NON REPEATING DECIMAL
Definition Of Non Repeating Decimal
A decimal that neither terminates nor repeats is termed as a Non-repeating Decimal.
More About Non Repeating Decimal
Non-repeating decimals are also called as non-periodic decimals or non-recurring decimals.
An irrational number is a non-terminating and non-repeating decimal.
Video Examples: How to convert a non-terminating repeating decimal expansion
Example of Non Repeating Decimal
= 1.41421356237....is a non-repeating decimal.
2.5687943285976.... is a non-repeating decimal.
Solved Example on Non Repeating Decimal
Ques: Identify the non-repeating decimal.
Choices:
Correct Answer: A
Solution:
Step 1: A decimal that neither terminates nor repeats is termed as non-repeating Decimal.
Step 2: Here, the decimal 0.81 is a terminating decimal.
Step 3: The decimal 
and 
, has a bar on 03 and 6 indicating that it is a repeating decimal.
Step 4: The decimal 3.316624790355... is neither repeating nor terminating.
Step 6: So, 3.316624790355... is a non-repeating decimal.
Quick Summary
- Non-repeating decimals are also called non-periodic decimals or non-recurring decimals.
- An irrational number is a non-terminating and non-repeating decimal.
- Examples include the decimal representation of √2 ≈ 1.41421356237... and π ≈ 3.14159265358979323846...
🍎 Teacher Insights
Use visual aids and real-world examples (like the value of pi) to illustrate the concept of non-repeating decimals. Emphasize the connection to irrational numbers.🎓 Prerequisites
- Decimal Representation
- Rational Numbers
- Irrational Numbers
- Repeating Decimals
- Terminating Decimals
Check Your Knowledge
Q1: Which of the following is a non-repeating decimal?
Q2: Which of the following numbers are Non-repeating decimals?
Frequently Asked Questions
Q: Are all non-terminating decimals non-repeating?
A: No, some non-terminating decimals are repeating (e.g., 1/3 = 0.333...). Only non-terminating and non-repeating decimals are considered non-repeating.
Q: What kind of numbers are represented by Non-repeating decimals?
A: Irrational numbers are represented by non-repeating decimals