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BAR NOTATION

BAR NOTATION

Definition Of Bar Notation

The process of writing repeating decimals or repeating pattern of digits by using a bar is called Bar Notation.

More About Bar Notation

Bar notation can be put with single or multi-digit repeating numbers or repeating patterns of decimals
For a single-digit repeating decimal, the repeating number is written once and a bar is put over it
For a multi-digit repeating decimal, the repeating pattern is written once and a bar is put over the digits from the first to the last one

Video Examples: Bar Notation

Examples of Bar Notation

2/3 = 0.666666 and can be written as 0.
3/7 = 0.428571428571428571 and can be written as 0. 

Solved Example on Bar Notation

Ques: Which of the following is the correct bar notation for the number 4.13333?

Choices:

 
Correct Answer: B

Solution:

Step 1: For a single-digit repeating decimal, the repeating number is written once and a bar or dot is put over it. 
Step 2: In 4.13333, only 3 is repeating. 
Step 3: So, a bar can be put on 3 and the correct bar notation would be 

 

Quick Summary

  • Bar notation is used for repeating decimals.
  • A bar is placed over the repeating digit(s).
  • For single-digit repetition, write the digit once with a bar above it.
  • For multi-digit repetition, write the repeating pattern once with a bar above the entire pattern.
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🍎 Teacher Insights

Emphasize the pattern recognition aspect. Use concrete examples of fractions converted to decimals to illustrate the concept. Provide ample practice identifying repeating digits and writing them in bar notation.

🎓 Prerequisites

  • Fractions
  • Decimals
  • Repeating Decimals

Check Your Knowledge

Q1: Which of the following is the correct bar notation for 0.3333...?

Q2: Which of the following is the correct bar notation for 0.121212...?

Frequently Asked Questions

Q: What does the bar in bar notation signify?
A: The bar indicates that the digits underneath it repeat indefinitely.

Q: Can bar notation be used for non-repeating decimals?
A: No, bar notation is specifically for representing repeating decimals.

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