Grade 8 Properties of Numbers Worksheet
Engage grade 8 students with this worksheet on properties of numbers, covering rational and irrational numbers, commutative, associative, and distributive properties.
Includes
Standards
Topics
Properties of Numbers
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following numbers is irrational?
0.333...
√49
π
-5
2. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
3. The set of all rational and irrational numbers is called the numbers.
4. The Property states that a(b + c) = ab + ac.
5. Explain the difference between a rational and an irrational number. Provide an example of each.
6. The product of two irrational numbers is always irrational.
True
False
7. The number 0 is a rational number.
True
False
Match the property with its example:
8. Commutative Property
a. 3 * (4 + 5) = 3 * 4 + 3 * 5
9. Associative Property
b. 7 + 2 = 2 + 7
10. Distributive Property
c. (6 * 2) * 5 = 6 * (2 * 5)
11. Plot the following numbers on the number line below: -2.5, 0, 1.75, √9, -π
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