Properties of Integers: Grade 11 Review
This worksheet covers fundamental properties of integers, including closure, commutativity, associativity, identity, inverse, and distributivity, suitable for Grade 11 math students.
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Properties of Integers: Grade 11 Review
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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 property of integers states that the product of any two integers is always an integer?
Commutative Property
Associative Property
Closure Property
Distributive Property
2. According to the Additive Inverse Property, what is the inverse of -7?
1/7
7
0
-1/7
3. The property states that for any integers a, b, and c, a + (b + c) = (a + b) + c.
4. The multiplicative identity for integers is .
5. The set of integers is closed under division.
True
False
6. The commutative property applies to subtraction of integers.
True
False
7. Explain the Distributive Property of multiplication over addition with an example.
8. Plot the integers -3, 0, and 4 on the number line below.
Match each property with its example.
9. Commutative Property of Addition
a. 5 + (-5) = 0
10. Associative Property of Multiplication
b. 3 * (2 * 4) = (3 * 2) * 4
11. Additive Inverse Property
c. 7 + 2 = 2 + 7
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