5 Questions
Which equation defines a complex number?
$a + bi$
What is the real part of the complex number $3 + 4i$?
3
What is the imaginary part of the complex number $2 - 5i$?
$2 - 5i$
Which symbol is used to denote the set of complex numbers?
$\mathbb{C}$
Why are complex numbers regarded as 'real' in the mathematical sciences?
They satisfy the same mathematical properties as real numbers
Study Notes
Complex Numbers
- A complex number is defined by the equation: a + bi, where a is the real part and b is the imaginary part, and i is the imaginary unit, which satisfies i^2 = -1.
- The real part of the complex number 3 + 4i is 3.
- The imaginary part of the complex number 2 - 5i is -5.
- The set of complex numbers is denoted by the symbol ℂ.
- Complex numbers are regarded as 'real' in the mathematical sciences because they can be used to model and solve real-world problems that cannot be solved using only real numbers.
Test your knowledge on complex numbers with this quiz! Learn about the elements of a complex number, the imaginary unit, and how to express complex numbers in different forms.
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