Unit 1 · Real and Complex Numbers
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Student Learning Outcomes covered
- Recall the set of real numbers as the union of rational and irrational numbers; represent real numbers on the number line
- Demonstrate terminating and non-terminating recurring decimals on the number line; distinguish rational vs irrational decimal representation
- Know the properties of real numbers (closure, commutative, associative, distributive, identity)
- Identify radicals and radicands; differentiate radical and exponential forms, and transform between them
- Recall base, exponent and value; apply the laws of exponents to simplify expressions
- Define a complex number z = a + ib (or (a, b)), where i = \u221a\u22121; recognize its real and imaginary parts
- Define the conjugate of a complex number; know the condition of equality of complex numbers
- Carry out addition, subtraction, multiplication and division on complex numbers
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