Classifying Rational Numbers
A Grade 10 math worksheet focusing on understanding and classifying rational numbers, including identifying integers, whole numbers, and natural numbers.
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Classifying Rational Numbers
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Date:
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Read each question carefully and provide the best answer. Show all your work where applicable.
1. Which of the following numbers is a rational number?
π (Pi)
√2
0.333...
e (Euler's number)
2. All integers are also:
Natural numbers
Whole numbers
Irrational numbers
Rational numbers
3. A rational number can be expressed as a of two integers, where the denominator is not zero.
4. The set of natural numbers includes all positive numbers, starting from 1.
5. Numbers that have a decimal expansion that is non-terminating and non-repeating are called numbers.
6. All whole numbers are also natural numbers.
True
False
7. The number 0 is a rational number.
True
False
8. Explain why 0.75 is a rational number.
9. Provide an example of a number that is an integer but not a natural number.
Match each number to its most specific classification.
10. -5
a. Natural Number
11. 7
b. Whole Number
12. 0
c. Integer
13. 2/3
d. Rational Number
14. Plot the following numbers on the number line below. Then, classify each number as natural, whole, integer, or rational (list all that apply).
a) -2.5:
b) 0:
c) 3: