Organizing Real Numbers
A Grade 12 math worksheet focusing on classifying, ordering, and understanding properties of real numbers, including rational and irrational numbers.
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Organizing Real Numbers
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Which of the following numbers is an irrational number?
√49
0.333...
π
-5/2
2. The set of numbers includes all rational and irrational numbers.
3. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is called a number.
4. Order the following numbers from least to greatest: 0.75, π/4, √0.5, 2/3.
5. Plot the following numbers on the number line below: -2.5, 1/2, √3, -1.
6. The product of two irrational numbers is always an irrational number.
True
False
7. Give an example of a real number that is an integer but not a natural number.
8. Explain why the sum of a rational number and an irrational number is always irrational.