Irrational Numbers Worksheet
Explore and identify irrational numbers, differentiate them from rational numbers, and approximate their values on a number line.
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Irrational Numbers Exploration
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following is an irrational number?
0.333...
√9
π
2/5
2. The square root of which number is irrational?
16
49
12
100
1. All irrational numbers are also real numbers.
True
False
2. The product of two irrational numbers is always irrational.
True
False
1. An irrational number is a real number that cannot be expressed as a simple .
2. The decimal representation of an irrational number is non-terminating and non- .
1. Explain the difference between a rational and an irrational number, providing an example for each.
1. Approximate the location of √2 on the number line below. Mark and label your approximation.
Use the words below to complete the sentences.
1. The number 0.75 is a number because its decimal representation is .
2. Pi (π) is an example of an number because its decimal representation is non-terminating and .