Classification of Real Numbers
A Grade 12 math worksheet on classifying real numbers, including rational, irrational, integers, whole, and natural numbers.
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Classification of Real Numbers
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Date:
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Read each question carefully and classify the given numbers or statements according to the real number system. Show all your work where applicable.
1. Which of the following numbers is an irrational number?
3.14
√9
2/3
π
2. All integers are also:
Natural numbers
Whole numbers
Rational numbers
Irrational numbers
3. The set of numbers includes all rational and irrational numbers.
4. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is a number.
5. All natural numbers are also whole numbers.
True
False
6. The square root of any prime number is an irrational number.
True
False
7. Place the following numbers on the number line provided: -2.5, 0, √16, 1/3, -π
8. Explain the difference between rational and irrational numbers, providing an example for each.
Match each number set with its description.
9. Natural Numbers
a. Numbers that cannot be expressed as a simple fraction.
10. Whole Numbers
b. Counting numbers starting from 1.
11. Integers
c. Natural numbers including zero.
12. Irrational Numbers
d. All positive and negative whole numbers, including zero.