Properties of Integers Worksheet
Explore the fundamental properties of integers including commutative, associative, distributive, identity, and inverse properties with this Grade 9 math worksheet.
Includes
Standards
Properties of Integers
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which property is illustrated by the equation: 5 + (3 + 7) = (5 + 3) + 7?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. Which property states that a × (b + c) = (a × b) + (a × c)?
Commutative Property of Multiplication
Associative Property of Multiplication
Distributive Property
Identity Property of Multiplication
3. The property states that changing the order of the operands does not change the result.
4. The additive inverse of an integer 'a' is .
5. The product of any integer and zero is .
6. The set of integers is closed under division.
True
False
7. The identity element for multiplication of integers is 1.
True
False
8. Explain the difference between the commutative property and the associative property.
9. Give an example of the distributive property in action with integers.
10. Plot the integers -3, 0, and 4 on the number line below.
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