Classifying Real Numbers Worksheet
Identify and classify real numbers as rational or irrational, and further categorize them into integers, whole numbers, and natural numbers.
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Standards
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Classifying Real Numbers
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Date:
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Read each question carefully and classify the given numbers according to the real number system. Use the provided word bank to fill in the blanks.
1. All numbers can be written as a fraction p/q, where p and q are integers and q is not zero.
2. Numbers that cannot be expressed as a simple fraction are called numbers.
3. The set of numbers includes all positive and negative whole numbers, including zero.
4. numbers are the non-negative integers (0, 1, 2, 3, ...).
5. The counting numbers (1, 2, 3, ...) are also known as numbers.
6. Which of the following is an irrational number?
0.333...
√9
π
-5
7. Which set of numbers does -7 belong to?
Natural numbers only
Whole numbers only
Integers and Rational numbers
Irrational numbers
8. All integers are also whole numbers.
True
False
9. Every natural number is also a rational number.
True
False
10. Place the following numbers on the number line provided: -2.5, 0, 1/2, √4, -4
11. Explain in your own words the difference between a rational and an irrational number. Provide an example for each.
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