Classification of Real Numbers
A Grade 10 math worksheet covering the classification of real numbers, including natural, whole, integers, rational, and irrational numbers.
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Classification of Real Numbers
Name:
Date:
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Read each question carefully and follow the instructions to classify the given numbers.
1. Which of the following numbers is an irrational number?
0.333...
√9
π
-5
2. All integers are also:
Natural numbers
Whole numbers
Rational numbers
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. The set of natural numbers includes 1, 2, 3, ... while the set of whole numbers includes along with the natural numbers.
5. Give an example of a number that is an integer but not a natural number. Explain your reasoning.
6. Explain the difference between a rational and an irrational number.
7. All real numbers are either rational or irrational.
True
False
8. The number 0 is a natural number.
True
False
9. Plot the following numbers on the number line and classify each as natural, whole, integer, rational, or irrational. (A number can belong to multiple categories).
Numbers: -2, 0.5, √16, π/2, 0
-2:
0.5:
√16:
π/2:
0: