Classifying Real Numbers
A Grade 11 math worksheet on classifying real numbers, including rational, irrational, integers, whole, and natural numbers.
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Topics
Classifying Real Numbers
Name:
Date:
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Read each question carefully and provide the best answer. Show all your work where applicable.
1. Which of the following numbers is an irrational number?
0.333...
4/7
sqrt(16)
pi
2. All integers are also:
Natural numbers
Irrational numbers
Whole numbers
Rational 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 is not zero, is a number.
5. The number 0 is a natural number.
True
False
6. All terminating decimals are rational numbers.
True
False
7. Give an example of a number that is an integer but not a whole number. Explain your reasoning.
8. Plot the following numbers on the number line below: -2.5, 0, sqrt(4), 1/2
Match each number to its correct classification.
9. -5
a. Natural Number
10. 0
b. Whole Number
11. 7
c. Integer
12. sqrt(7)
d. Rational Number
13. 0.25
e. Irrational Number
14. Explain the relationship between natural numbers, whole numbers, integers, rational numbers, and real numbers using a hierarchical structure or a Venn diagram. Provide examples for each category.