REAL PART
Definition Of Real Part
The Real Part of the complex number a + ib is a.
More About Real Part
The real part of a complex number Z is denoted as Re (Z).
If Z is a complex number and 
is its conjugate complex, then real part is given as
Examples of Real Part
In the complex number 5 + 7i, the real part is 5
In the complex number 2 - i, the real part is 2
In the complex number - 6 - 3i, the real part is - 6
Video Examples: Real Part
Solved Example on Real Part
Ques: Choose the real part of the complex number 36 + 2i.
Choices:
A. real part = 36i
B. real part = 36
C. real part = 2i
D. real part = 38
Correct Answer: B
Solution:
Step 1: The real part of the complex number Z = a + ib is a and imaginary part is the coefficient of i i.e., b
Step 2: The real part of the complex number 36 + 2i is 36. [The real part of the complex number a + ib is a.]
Quick Summary
- The real part of a complex number Z is denoted as Re(Z).
- For a complex number a + ib, 'a' is the real part.
- The real part can be calculated using the formula involving the complex number and its conjugate.
š Teacher Insights
Emphasize the difference between the real and imaginary parts using visual representations and examples. Use the conjugate formula to reinforce the concept.š Prerequisites
- Basic Algebra
- Understanding of Imaginary Numbers
- Complex Number Representation
Check Your Knowledge
Q1: What is the real part of the complex number -5 + 2i?
Q2: Which of the following is the real part of 7i - 3?
Frequently Asked Questions
Q: What is the real part of 3 - 4i?
A: The real part is 3.
Q: How do I find the real part if the complex number is not in the form a + ib?
A: First, rewrite the complex number in the standard form a + ib. Then, identify 'a' as the real part.