Organizing Real Numbers
A Grade 11 math worksheet covering the classification and ordering of real numbers, including rational and irrational numbers.
Includes
Standards
Topics
Organizing Real Numbers
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show your work where applicable.
1. Which of the following numbers is an irrational number?
0.333...
√9
π
-7
2. All integers are also:
Irrational numbers
Whole numbers
Natural numbers
Rational numbers
3. The set of all rational and irrational numbers together forms the set of numbers.
4. A repeating decimal is an example of a number.
5. Classify the following numbers as rational or irrational:
a) 0.121212...
b) √7
c) -5/3
6. Explain the difference between a rational and an irrational number.
7. All whole numbers are natural numbers.
True
False
8. The product of two irrational numbers is always irrational.
True
False
9. Plot and order the following numbers on the number line below: -2.5, 0, √3, -4/2
Order from least to greatest:
Match each number set with its definition.
10. Natural Numbers
a. Numbers that can be expressed as a fraction p/q
11. Whole Numbers
b. All positive integers (1, 2, 3...)
12. Integers
c. Natural numbers including zero (0, 1, 2, 3...)
13. Rational Numbers
d. Positive and negative whole numbers and zero (...-2, -1, 0, 1, 2...)
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