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VINCULUM

Vinculum

Definition Of Vinculum

Vinculum is a horizontal bar that is drawn on a mathematical expression to indicate that they form a group.

More About Vinculum

Vinculum is a Latin word that means 'bond' or 'tie'.

Examples of Vinculum

The horizontal bar used in the given examples is vinculum

A radical -- 

For repeating decimals -- 

Line segment AB -- 

Complex conjugate -- 

Video Examples: The Vinculum

Solved Example on Vinculum

Ques: Which of the following is the correct vinculum sign used to represent the square root of the sum of the two numbers a and b?

Choices:

Examples on Vinculum

Correct Answer: B

Solution:

Step 1: Vinculum is a horizontal bar that is drawn on a mathematical expression to indicate that they form a group
Step 2: The vinculum form of the sum of the square root of the two numbers a and b is 

Quick Summary

  • Vinculum groups terms together.
  • It acts as a form of parenthesis.
  • It's used in radicals, repeating decimals, and other notations.
\[ \overline{a+b} \]

🍎 Teacher Insights

Emphasize the order of operations when using a vinculum. Use examples from different areas of math to illustrate its versatility.

🎓 Prerequisites

  • Basic Arithmetic
  • Algebraic Expressions

Check Your Knowledge

Q1: Which of the following correctly represents the square root of the sum of 'x' and 'y' using a vinculum?

Frequently Asked Questions

Q: What does a vinculum do?
A: A vinculum groups terms together, indicating that they should be treated as a single entity for the purpose of mathematical operations.

Q: Where does the term 'vinculum' come from?
A: The term 'vinculum' is derived from Latin, meaning 'bond' or 'tie'.

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