Exploring Irrational Numbers
A Grade 10 math worksheet focusing on understanding, identifying, and performing basic operations with irrational numbers.
Includes
Standards
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Exploring Irrational Numbers
Name:
Date:
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Read each question carefully and provide your best answer. Show all your work for problems requiring calculations.
1. Which of the following numbers is irrational?
0.333...
√9
π
-2/5
2. The product of a non-zero rational number and an irrational number is always:
Rational
Irrational
An integer
Undefined
3. The sum of two irrational numbers is always irrational.
True
False
4. Every square root of a non-perfect square is an irrational number.
True
False
5. The decimal representation of an irrational number is non-repeating and .
6. The set of all rational and irrational numbers together form the set of numbers.
7. Order the following numbers from least to greatest: √2, 1.5, π/2, 1.4.
8. Explain why the number 0.121121112... is irrational.
9. Plot the approximate location of √5 on the number line below.
10. Simplify the expression: √18 + √50. Is the result rational or irrational?