Classifying Real Numbers
A Grade 12 math worksheet on classifying real numbers, including natural, whole, integer, rational, irrational, and real numbers.
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Classifying Real Numbers
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Read each question carefully and classify the given numbers into the most specific set(s) they belong to: Natural Numbers (N), Whole Numbers (W), Integers (Z), Rational Numbers (Q), Irrational Numbers (I), and Real Numbers (R).
1. Which of the following numbers is an irrational number?
√9
0.333...
π
-5
2. All natural numbers are also:
Irrational numbers
Integers
Only rational numbers
Only whole numbers
3. The set of numbers includes all positive and negative whole numbers, including zero.
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. The number √7 is an example of an number.
6. Classify the number -15.5 and explain your reasoning.
Match each number with its most specific classification.
7. 0
a. Natural Number
8. 3
b. Whole Number
9. -4
c. Integer
10. 1/2
d. Rational Number
11. √2
e. Irrational Number
12. Plot the following numbers on the number line and classify each as rational or irrational:
Numbers: -2, 0.5, √5, 3/4, -3
-2:
0.5:
√5:
3/4:
-3: