Classification of Real Numbers
This worksheet helps students understand and classify real numbers into rational, irrational, integers, whole, and natural numbers.
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Classification of Real Numbers
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Read each question carefully and follow the instructions to classify the real numbers.
1. Which of the following numbers is an irrational number?
√9
3/4
π
-5
2. All natural numbers are also:
Irrational numbers
Integers
Only whole numbers
Negative numbers
3. The set of numbers that includes all positive and negative whole numbers, including zero, is called .
4. A number that can be expressed as a fraction p/q, where p and q are integers and q is not zero, is a number.
5. All integers are rational numbers.
True
False
6. The number 0 is a natural number.
True
False
7. Give an example of a number that is a whole number but not a natural number.
8. Explain the difference between rational and irrational numbers.
Use the words below to complete the sentences.
9. Numbers used for counting are called numbers.
10. The set of all rational and irrational numbers together form the numbers.
11. Plot the following numbers on the number line: -2, 0.5, √4, -1.75