Grade 11 Number Systems Worksheet
This worksheet covers various aspects of number systems relevant to Grade 11 mathematics, including real numbers, complex numbers, and their properties.
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Standards
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Grade 11 Number Systems
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following is an irrational number?
√9
0.333...
π
-5
2. What is the conjugate of the complex number 3 + 4i?
3 - 4i
-3 + 4i
4 + 3i
-3 - 4i
3. The set of all rational and irrational numbers is called the set of numbers.
4. The imaginary unit 'i' is defined as the square root of .
5. All integers are also rational numbers.
True
False
6. The product of two complex numbers is always a real number.
True
False
7. Simplify the expression (2 + 3i) + (1 - 5i).
8. Plot the following numbers on the number line provided: -2, 0.5, √4, -1.8
9. Explain the relationship between rational and irrational numbers, providing an example of each.
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