This document provides an overview of real and complex numbers for nurses. It defines real and complex numbers, and discusses key properties like the commutative and associative laws of addition and multiplication. It also explains that the complex conjugate of a number is found by changing the sign of the imaginary part. The document was prepared by Afza Malik, the coordinator of mathematics at a hospital in Lahore, Pakistan.

1. Mathematics for Nurses
Chapter # 01
Properties of Real &
Complex Numbers
Prepared By:
Afza Malik (BScN ,CCRN)
Coordinator,
CON National Hospital & Medical Centre, Lahore.

2. Real Numbers

3. Complex Numbers

4. Parts of a Complex Number
𝑖2
= −1
2
=-1

5. Properties of Real Numbers
• Properties of Complex Numbers
• u + v = v + u (Commutative law for addition).
• u ∙ v = v ∙ u (Commutative law for multiplication).
• (u + v) + z = u + (v + z) (Associative law for addition)
• (u . v) z = x(y . z) (Associative law for multiplication)
• x(v + z) = x . v + x . z (Distributive law).

6. Conjugate of a Complex Numbers
The complex conjugate simply by changing the sign of the imaginary part of the
complex number. To find the complex conjugate of 4+7i we change the sign of the
imaginary part.

7. Properties of Real Numbers

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12. Available at SlideShare