Irrational Numbers Worksheet
This worksheet focuses on understanding, identifying, and performing operations with irrational numbers for Grade 11 students.
Includes
Standards
Topics
Irrational Numbers: Grade 11 Practice
Name:
Date:
Score:
Read each question carefully and provide your best answer. Show all your work where applicable.
1. Which of the following numbers is irrational?
√49
0.333...
π
3/5
2. The product of a non-zero rational number and an irrational number is always:
Rational
Irrational
Integer
Cannot be determined
3. An irrational number cannot be expressed as a of two integers.
4. The decimal representation of an irrational number is non-terminating and non- .
5. Explain why √2 is an irrational number.
6. The sum of two irrational numbers is always irrational.
True
False
7. The number 0.121121112... (where the number of 1s increases) is rational.
True
False
8. Plot the approximate location of √5 on the number line below.
9. Order the following numbers from least to greatest: π, √10, 3.14, 2√2.
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