Organizing Real Numbers Worksheet
A Grade 10 math worksheet focusing on classifying, ordering, and comparing real numbers, including rational and irrational numbers.
Includes
Standards
Organizing Real Numbers
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show all your work where applicable.
1. Which of the following numbers is an irrational number?
0.333...
√9
π
-5
2. All integers are also:
Natural numbers
Whole numbers
Rational numbers
Irrational numbers
3. The set of numbers includes all rational and irrational numbers.
4. A number that can be expressed as a fraction p/q, where p and q are integers and q≠0, is a number.
5. Order the following numbers from least to greatest: √16, -3.5, 7/2, π.
6. Plot the numbers -2, 0.5, -3/2, and √4 on the number line below.
7. The product of two irrational numbers is always irrational.
True
False
8. Every rational number can be written as a terminating or repeating decimal.
True
False
Match each number property with its correct example.
9. Associative Property
a. a + b = b + a
10. Commutative Property
b. a(b + c) = ab + ac
11. Distributive Property
c. (a + b) + c = a + (b + c)
12. A square has an area of 18 square units. Is the side length of this square a rational or irrational number? Explain your reasoning.
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